Functionalized interfaces enhancing phase-change processes have immense applicability in thermal management. Here, a methodology for fabrication of surfaces enabling extreme boiling heat transfer performance is demonstrated, combining direct nanosecond laser texturing and chemical vapor deposition of a hydrophobic fluorinated silane. Multiple strategies of laser texturing are explored on aluminum with subsequent nanoscale hydrophobization. Both superhydrophilic and superhydrophobic surfaces with laser-engineered microcavities exhibit significant enhancement of the pool boiling heat transfer. Surfaces with superhydrophobic microcavities allow for enhancements of a heat transfer coefficient of over 500%. Larger microcavities with a mean diameter of 4.2 μm, achieved using equidistant laser scanning separation, induce an early transition into the favorable nucleate boiling regime, while smaller microcavities with a mean diameter of 2.8 μm, achieved using variable separation, provide superior performance at high heat fluxes. The enhanced boiling performance confirms that the Wenzel wetting regime is possible during boiling on apparently superhydrophobic surfaces. A notable critical heat flux enhancement is demonstrated on superhydrophobic surfaces with an engineered microstructure showing definitively the importance and concomitant effect of both the surface wettability and topography for enhanced boiling. The fast, low-cost, and repeatable fabrication process has great potential for advanced thermal management applications.
Functionalized interfaces enhancing phase-change processes have immense applicability in thermal management. Here, a methodology for fabrication of surfaces enabling extreme boiling heat transfer performance is demonstrated, combining direct nanosecond laser texturing and chemical vapor deposition of a hydrophobic fluorinated silane. Multiple strategies of laser texturing are explored on aluminum with subsequent nanoscale hydrophobization. Both superhydrophilic and superhydrophobic surfaces with laser-engineered microcavities exhibit significant enhancement of the pool boiling heat transfer. Surfaces with superhydrophobic microcavities allow for enhancements of a heat transfer coefficient of over 500%. Larger microcavities with a mean diameter of 4.2 μm, achieved using equidistant laser scanning separation, induce an early transition into the favorable nucleate boiling regime, while smaller microcavities with a mean diameter of 2.8 μm, achieved using variable separation, provide superior performance at high heat fluxes. The enhanced boiling performance confirms that the Wenzel wetting regime is possible during boiling on apparently superhydrophobic surfaces. A notable critical heat flux enhancement is demonstrated on superhydrophobic surfaces with an engineered microstructure showing definitively the importance and concomitant effect of both the surface wettability and topography for enhanced boiling. The fast, low-cost, and repeatable fabrication process has great potential for advanced thermal management applications.
Emergence of new information technologies including artificial
intelligence, internet of things, and big data requires a powerful
computer infrastructure, which is a major consumer of electricity
and is projected to grow at a rate of 10% per year.[1] Development of high-performance electronics and their miniaturization
in the last few decades resulted in increased requirements for their
efficient cooling with the energy consumption for cooling purposes
representing 30–55% of the total energy use.[2,3] Since
several hundred kilowatts per square meter needs to be dissipated
from certain components, development and implementation of enhanced
cooling methods is crucial. Phase-change heat transfer via boiling
has been proven to be one of the best solutions as it can reach extremely
high values of the heat transfer coefficient (defined as the ratio
between the heat flux and the temperature difference between the surface
and the fluid), which is used to quantify the heat transfer intensity.
Furthermore, boiling heat transfer is already utilized in critical
applications such as cooling of nuclear reactor fuel rods and for
nuclear accident management.[4] With the
recent pressure to achieve higher energy efficiency and better utilization
of renewable energy sources, emerging technologies including electric
vehicles, their batteries, and renewable energy power generation machinery
will also need to consider using boiling heat transfer for cooling
purposes.[5]While boiling is one of
the most intense cooling processes with heat transfer coefficients,
several orders of magnitude higher in comparison with natural or forced
convection, there is still room for its enhancement with most efforts
aimed at enhancing the properties of the boiling surface (i.e., its
wettability, microstructure, porosity etc.). The microstructure of
the surface significantly influences the nucleate boiling heat transfer
as bubbles preferably grow from defects (cavities) on the surface.
Therefore, the presence of an abundance of suitable microcavities
is important for efficient boiling heat transfer as it enables an
early transition from the natural convection regime without phase
change into the nucleate boiling regime with much higher heat transfer
intensity. Wettability of the boiling surface also significantly affects
the heat transfer performance with poorly wettable (hydrophobic) surfaces
typically exhibiting lower critical heat flux (CHF; the upper limit
of the desirable nucleate boiling regime), making such surfaces less
suitable for practical use.[6] Especially,
superhydrophobic surfaces usually exhibit unfavorable heat transfer
properties in the fully developed nucleate boiling regime with an
early transition into film boiling.[7−12] On the contrary, (super)hydrophilic and porous surfaces tend to
exhibit increased CHF but overall higher superheats due to the higher
energy barrier for nucleation.[13−15] While a high CHF might represent
an additional safety margin in some applications, high performance
at somewhat lower heat fluxes in terms of very high heat transfer
coefficients is more important in many applications utilizing boiling
heat transfer as a cooling method.[4,16,17]The appearance of the Cassie–Baxter
wetting state on superhydrophobic surfaces will universally result
in an early transition into film boiling accompanied by a massive
surface temperature increase and subsequent substantial reduction
of the heat transfer intensity.[18] If the
Wenzel wetting regime is achieved, then an enhancement of the heat
transfer coefficient (and with that, the heat transfer intensity)
will be present, although without a major enhancement of the CHF,
which was recently shown by Allred et al.[18] Therefore, significantly increasing both the critical heat flux
and the heat transfer coefficient using superhydrophobic boiling surfaces
remains a challenge.Several methods for micro- and nanotexturing
of the boiling surface have been shown to enhance boiling heat transfer,[19,20] yet few of these methods are truly scalable and straightforward
while still offering great boiling enhancements.[21−23] Herein lies
the advantage of laser texturing, which can be utilized to modify
the micro- and nanostructure of the surface, its chemical composition,
and morphology,[24,25] all of which significantly affect
boiling heat transfer. To this effect, Kruse et al.[26] produced multiscale structures on stainless steel using
a femtosecond laser, while Nirgude and Sahu[27] applied nanosecond laser texturing to functionalize copper surfaces.
Zupančič et al.[28] and Voglar
et al.[29] used a nanosecond laser to produce
microcavities on a stainless steel surface, which were proven to greatly
enhance the boiling heat transfer by serving as active nucleation
sites from which bubbles prefer to form, while Može et al.[30] demonstrated that this approach can also be
applied to copper. Gregorčič et al.[23] have shown that such surfaces offer similar enhancements
using different (pure) coolants with significantly different properties,
while Zakšek et al.[31] proved that
they also work for binary fluid mixtures. Even though (solely) laser-textured
boiling surfaces are showing favorable heat transfer enhancement results,
extremely high heat transfer coefficients (>100 kW m–2 K–1) have not been recorded on them to date.Efficient thermal management using boiling heat transfer relies on
low surface superheat and high values of both the critical heat flux
and the heat transfer coefficient. Typical surface modifications such
as wettability alteration rarely achieve preferable values of all
three parameters at the same time and require sacrificing at least
one aspect of boiling performance, outlining the need for an innovative
approach to boiling enhancement. This study presents a low-cost, fast,
and reliable method of producing superhydrophobic aluminum surfaces
for extreme pool boiling performance by combining laser surface functionalization
with chemical vapor deposition (CVD) of a hydrophobic fluorinated
silane. Direct nanosecond laser texturing is used to induce microcavities,
and different laser texturing strategies are investigated with subsequent
hydrophobization of selected surfaces. SEM imaging is used to analyze
the surface morphology and to evaluate the size distribution of microcavities.
Pool boiling tests using water are conducted to evaluate the boiling
heat transfer performance, and the mechanism of heat transfer enhancement
is proposed and discussed. Superhydrophobic coating ensures transition
into the nucleate boiling regime at surface temperatures only slightly
above the saturation temperature of water without the appearance of
the Cassie–Baxter regime (i.e., without immediate transition
into undesirable film boiling), while laser-induced microcavities
enable effective nucleation throughout the nucleate boiling regime.
We convincingly show that superhydrophobic surfaces, which allow the
establishment of the Wenzel wetting regime and also have an appropriate
microstructure, can actually increase the CHF, which contradicts the
current understanding of boiling heat transfer performance on poorly
wettable surfaces. The developed surfaces provide sacrifice-free boiling
performance enhancement and offer both increased cooling system safety
and highly efficient cooling with heat transfer coefficients in an
excess of 200 kW m–2 K–1.
Results and Discussion
Laser-Functionalized Aluminum
Surfaces
Irradiation of a solid material with laser light
induces changes in its morphology, topography, and chemistry due to
the temperature increase and accompanying phase-change phenomena.
One of the possible surface features resulting from laser texturing
is microcavities, which form through ablation and melting (followed
by solidification) of the material using pulse fluences, significantly
higher than the threshold fluence for ablation. For the used aluminum
alloy, the ablation threshold was determined, as described in ref.,[32] and equals approximately 3 J cm–2. The rapid melting and vaporization of the material results in recoil
pressure exceeding the surface tension of the liquefied material,
which in turn induces hydrodynamic motion of the molten material toward
the sides of each laser beam trace.[23,33] A graphical
explanation of the microcavity formation process is shown in Figure . For the microcavities
to form successfully and reliably, the laser texturing parameters
(especially the texturing pattern, laser pulse overlap, and pulse
fluence) need to be tailored to the individual material.[32] Furthermore, only a narrow range of lateral
separation values between parallel laser beam scanning lines produces
microcavities.[23] Therefore, it is beneficial
to use variable separation to cover the entire viable range, which
should ensure reliable formation of microcavities. On the other hand,
an equidistant separation corresponding to the value producing a lot
of microcavities with appropriate diameters for early nucleation could
be employed as a speculative approach to possibly generate a higher
total number of microcavities. However, this comes with both the risk
of generating no suitable microcavities for boiling if the selected
line separation turns out to be inappropriate in combination with
the selected laser texturing parameters and the possibility of lower
boiling performance due to an overall narrower range of microcavity
diameters. Both approaches were tested in this study. Additional details
are available in Section S5 where Figure S19 shows the relationship between the scanning line separation and
microcavity formation for a specific set of laser texturing parameters.
Figure 1
Graphical
explanation of the formation process of laser-induced microcavities.
Graphical
explanation of the formation process of laser-induced microcavities.The tested surfaces are listed in Table . Best-performing surfaces were
fabricated and tested multiple times to verify the repeatability of
the fabrication process and their boiling heat transfer performance.
Hydrophobic or superhydrophobic surfaces have the HPO prefix, and
hydrophilic or superhydrophilic surfaces have the HPI prefix. Laser-textured
surfaces were prepared either using a variable or an equidistant scanning
separation (denoted as VS and ES, respectively) to produce microcavities
or were fully textured (FT) without the aim of producing microcavities.
A detailed description of the naming convention can be found in the Experimental Section alongside the fabrication specifics.
Table 1
List of Tested Surfaces
surface name
description
fabrication process
apparent CA after fabrication
apparent
CA after boiling
REF
untreated reference surface
none
76°
90°
HPO smooth
smooth hydrophobic surface
CVD
124°
76°
HPO FT
superhydrophobic fully textured surfacea
laser texturing + CVD
>150°
133°
HPI FT
superhydrophilic fully textured
surface
laser texturing
<1°
nonuniform droplet spreading
HPO VS 1
superhydrophobic surface
with microcavitiesa
laser texturing + CVD
>150°
>150°
HPO VS 2
superhydrophobic surface with microcavitiesa
laser texturing + CVD
>150°
143°
HPO VS 3
superhydrophobic surface
with microcavitiesa
laser texturing + CVD
>150°
141°
HPO ES 1
superhydrophobic surface with microcavitiesa
laser texturing + CVD
>150°
144°
HPO ES 2
superhydrophobic surface
with microcavitiesa
laser texturing + CVD
>150°
143°
HPI VS
superhydrophilic surface with microcavities
laser texturing
<1°
nonuniform droplet spreading
HPI ES
superhydrophilic surface with microcavities
laser texturing
<1°
nonuniform droplet spreading
roll-off angle, <5°.
roll-off angle, <5°.SEM images of selected surfaces are shown in Figure , while SEM images of all surfaces can be
found in Figures S1 to S10. All SEM images were acquired after the
surface has been exposed to boiling. The microstructure of FT surfaces
is aligned along the traces of parallel laser beam passes (vertically
as shown in Figure a), and while the surface exhibits some porosity, there are no distinct
cavities on the surface, which could trap vapor and serve as preferential
nucleation sites. VS and ES surfaces, on the other hand, show the
presence of an abundance of microcavities on top of laser-induced
ridges (Figure b,c),
which form between two parallel consecutive laser beam passes across
the surface. These microcavities are shown in detail at a higher magnification
in Figure d. There
is no evident difference between the SEM images of HPO and HPI surfaces
fabricated using the same laser texturing parameters as the CVD-fabricated
(super)hydrophobic HTMS coating is only a few nanometers thick.[34]
Figure 2
SEM images of surface (a) HPI FT, (b) HPO VS 1, (c) HPO
ES 1, and (d) examples of microcavities. (e) FIB cross section and
EDS analysis of oxygen and aluminum concentration (the yellow color
denotes a higher concentration) on surface HPO FT and (f) HPO VS.
Note that FIB-milled surfaces are coated with a 0.5 μm Pt layer
to keep the surface layer intact during ion sputtering.
SEM images of surface (a) HPI FT, (b) HPO VS 1, (c) HPO
ES 1, and (d) examples of microcavities. (e) FIB cross section and
EDS analysis of oxygen and aluminum concentration (the yellow color
denotes a higher concentration) on surface HPO FT and (f) HPO VS.
Note that FIB-milled surfaces are coated with a 0.5 μm Pt layer
to keep the surface layer intact during ion sputtering.Cross sections of a HPO FT and a HPI VS surface were made
using focused ion beam (FIB) milling and are shown alongside the results
of the energy-dispersive X-ray spectroscopy (EDS) 2D mapping of O
and Al elements in Figure e,f, respectively. The oxide layer is only a few hundred nanometers
thick on both surfaces and can also be observed in EDS images as a
region of increased oxygen concentration (yellow color in the 2D EDS
maps denotes a higher concentration of the analyzed element). Additional
FIB cross-section images and EDS analyses of different areas can be
found in Figures S11 and S12 and S13 to S16 in Section S2, respectively. The porosity
of the oxide layer and the expected temperature drop across it due
to its thermal resistance is analyzed in Section S3 (Figure S13). Based on the observed
thickness and estimated effective thermal conductivity, the temperature
drop across the oxide layer is estimated to be less than 0.2 K at
1.5 MW m–2 (see Section S3M).The average density of microcavities on various VS or ES
surfaces is between 650 and 950 cavities/mm2 and was determined
by identifying microcavities on selected SEM images at 500× magnification.
Microcavities were treated as ellipses, and their mean diameter was
determined from the lengths of the semiminor and semimajor axes. The
average mean cavity diameters on VS and ES surfaces were 2.8 and 4.2
μm, respectively. An analysis of cavity mean diameter distribution
for VS and ES surfaces is shown in Figure a. It is evident that, while a similar percentage
of microcavities with mean diameters between 1 and 5 μm are
present on both VS and ES surfaces, the latter have a significantly
higher number of larger cavities (>5 μm) and VS surfaces
have a larger percentage of smaller cavities with diameters below
or equal to 1 μm. This is a direct result of the texturing strategy
as the VS surfaces have the potential to host microcavities in a broader
range of dimensions due to the use of several different scanning line
separations (between 55 and 65 μm) where a different overlap
of the resolidified material can result in varying levels of surface
porosity. As the ES surfaces were textured using only the 65 μm
scanning line separation, larger cavities are expected to appear than
with using a smaller spacing of 55 μm (see Section S5, Figure S19), which
in turn causes the distribution of the mean cavity diameters to be
skewed toward larger values. This was further confirmed through the
analysis of low magnification SEM images where microcavities were
measured and counted on VS surfaces on (i) scanning lines up to 55
μm apart and (ii) scanning lines more than 60 μm apart
and on ES surfaces with results shown in Figure b. Due to the lower magnification, the resolution
of images limits reliable identification of microcavities to those
with a diameter of at least 1 μm. Furthermore, the top-down
view of SEM images might obscure the identification of some microcavities
on the side of the resolidified ridge. Figure b clearly shows that lower scanning line
separation results in a higher percentage of smaller microcavities
(<5 μm), which contributes to the overall shift of the microcavity
diameter distribution toward lower values on VS surfaces compared
to ES surfaces, as shown in Figure a. The analysis of low magnification SEM images also
showed that the density of microcavities is lower on scanning lines
closer together (approximately 500 microcavities/mm2 for
separations under 55 μm and up to 1000 microcavities/mm2 for separations above 60 μm), although smaller spacing
results in overall smaller cavities, many of which might not have
been detected. Low magnification SEM images for separations under
55 μm and above 60 μm are shown in Section S5 in Figure S20a,b, respectively.
Figure 3
(a) Distribution of microcavity
mean diameters on VS and ES surfaces obtained through the analysis
of high magnification SEM images and (b) distribution of microcavity
mean diameters on laser-induced ridges, generated by a specific scanning
line separation on VS and ES surfaces observed on low magnification
SEM images.
(a) Distribution of microcavity
mean diameters on VS and ES surfaces obtained through the analysis
of high magnification SEM images and (b) distribution of microcavity
mean diameters on laser-induced ridges, generated by a specific scanning
line separation on VS and ES surfaces observed on low magnification
SEM images.Due to a scanning head resolution
of 2 μm, the spacing of the laser scanning lines might deviate
slightly from the predicted value. This further justifies the use
of variable separation to ensure that microcavities form at least
for some of the used separations even when using a low-cost scanner
with limited spatial resolution.[23]The apparent contact angle of all surfaces recorded before and after
boiling had taken place on them is listed in Table . Applying the HTMS coating to a smooth surface
produces a hydrophobic surface that does not exhibit a roll-off angle
(surface HPO smooth). For true superhydrophobicity and existence of
a roll-off angle, micro- and nanoscale surface roughnesses are required.[35−37] The latter can be easily achieved with laser texturing since melting,
ablation, and subsequent solidification of the material will induce
microroughness, while oxide growth will cause the appearance of nanostructures.
Laser-textured and subsequently CVD-coated surfaces exhibited an apparent
static contact angle above 150° and a roll-off angle below 5°,
which is in accordance with the literature.[25,38−41] The dynamic contact angles were measured on selected superhydrophobic
surfaces to aid discussion regarding the heat transfer enhancement.
Surfaces HPO FT, HPO ES, and HPO VS exhibited the following contact
angle hysteresis (CAH): 3.7 ± 2.2°, 4.6 ± 2.9°,
and 4.7 ± 2.6°, respectively. Dynamic contact angles are
listed in Section S6 (Table S2). Judging from these results, the contact angle hysteresis
is not significant and the surfaces cannot be described as parahydrophobic.Exposure to an aqueous environment will slightly diminish the contact
angle since most silane coatings are susceptible to hydrolysis without
oxane bond reformation, leading to coating failure with time.[42,43] Several hours of exposure to saturated water universally reduced
the contact angle on HPO surfaces, although all surfaces (with the
exception of HPO smooth) still exhibited hydrophobicity after boiling
experiments. The roll-off angle disappeared post-boiling on some HTMS-coated
surfaces and remained lower than 5° on the rest, indicating inconsistent
degradation that should be investigated in the future. Exposure to
water also modifies the wettability of hydrophilic surfaces, which
transition from the initial superhydrophilicity in the saturated Wenzel
regime (caused by an abundance of high surface energy oxides present
on the surface directly after laser texturing) toward hydrophilicity
with a nonuniform droplet spreading due to directional (anisotropic)
surface morphology.[24] Such nonuniform wettability
has been observed previously on laser-textured surfaces.[28,44,45] The change in contact angle can
be explained by pseudoboehmite (Al2O3 × xH2O, 1 ≤ x ≤
2) and bayerite (Al(OH)3) growth on aluminum surfaces during
exposure to water at elevated temperatures since the transition of
their surface chemistry also alters their free surface energy and
wettability.[46−48]
Pool Boiling Performance
Boiling performance of all surfaces was evaluated using saturated
water at atmospheric pressure and recorded in the form of boiling
curves showing the relationship between the surface superheat (i.e.,
the temperature difference between the surface and the water) and
the heat flux. To ensure efficient operation of systems utilizing
boiling heat transfer, it is desirable for the surface superheat to
be low and the boiling curve to be as steep as possible, which translates
into high heat transfer coefficients quantifying the heat transfer
performance. Furthermore, the transition from natural convection into
nucleate boiling (i.e., the onset of nucleate boiling) should ideally
also occur at a low surface superheat. Boiling curves were recorded
up to the critical heat flux incipience with multiple repetitions
of each measurement.Figure a shows a comparison of boiling curves for surfaces
without microcavities, which serve as a baseline to which the enhancements
are compared to. It is evident that the superhydrophilic, fully laser-textured
surface (HPI FT) does not significantly enhance the boiling process
since its boiling curve roughly coincides with that of the reference
(untreated) surface. The CHF is enhanced by 21%, which is caused by
the (super)hydrophilic nature and porosity of the surface, enabling
better and more rapid rewetting of the surface after the departure
of individual bubbles and thus preventing local surface dryouts. This
agrees with the established literature reporting higher CHF values
on (super)hydrophilic and/or porous surfaces without a major heat
transfer coefficient enhancement.[13−15,49,50] The same surface, but coated
with HTMS (HPO FT), will exhibit superhydrophobicity. However, the
surface does not become fully covered by a vapor film soon after the
boiling incipience and a CHF comparable to that of the untreated sample
is observed. The heat transfer coefficient is enhanced up to 290%
at low heat fluxes and by 120% at CHF in comparison with the reference.
Finally, a smooth surface coated with HTMS (HPO smooth) will be hydrophobic
rather than superhydrophobic with no roll-off angle and it will offer
a small enhancement over the reference surface in terms of the heat
transfer coefficient and a minor CHF increase. This could be attributed
to easier penetration of water to the surface microstructure in comparison
with the superhydrophobic HPO FT surface, which prevents the early
formation of a vapor film. Since the adhesion of the coating is poor
on smooth surfaces, degradation is observed post-boiling with a contact
angle below 90°.
Figure 4
(a) Boiling performance of the reference surface, smooth
hydrophobic surface, and fully laser-textured surfaces, (b) boiling
performance of superhydrophilic (HPI) and superhydrophobic (HPO) microcavity
surfaces, and (c, d) high-speed video snapshots of the boiling process
on surface HPO VS 1 at a superheat of (c) 0.2 and (d) 1.2 K.
(a) Boiling performance of the reference surface, smooth
hydrophobic surface, and fully laser-textured surfaces, (b) boiling
performance of superhydrophilic (HPI) and superhydrophobic (HPO) microcavity
surfaces, and (c, d) high-speed video snapshots of the boiling process
on surface HPO VS 1 at a superheat of (c) 0.2 and (d) 1.2 K.Boiling performances of superhydrophilic and superhydrophobic
microcavity surfaces are shown in Figure b. Both HPO VS and HPO ES surfaces exhibit
extreme boiling performance with enhancements of the heat transfer
coefficient of several hundred percent and an increase in CHF values
of up to 41% in comparison with the reference surface. The remarkable
heat transfer performance of superhydrophobic microcavity surfaces,
which departs from the usual observations during boiling on superhydrophobic
surfaces and was also exhibited by the HPO FT surface to a certain
extent, can be explained by the penetration of water to the surface
and the appearance of the Wenzel wetting regime despite the apparent
superhydrophobicity of the surface, as suggested by Allred et al.[18] Proper degassing of the surfaces was confirmed
through additional tests shown in Figure S29. Boiling performance of improperly degassed surface in the initial
Cassie–Baxter wetting state is significantly different to that
of the properly degassed surface in the initial Wenzel wetting state,
which also agrees with the results of Allred et al.[18]The HPO ES 1 surface performs better at low heat
fluxes (up to 200 kW m–2) where it transitions into
nucleate boiling at a lower surface superheat and exhibits higher
heat transfer coefficients. This can be explained by the fact that
ES surfaces have a greater percentage of larger microcavities from
which bubbles can grow at lower superheats, which can be deduced from
the following expression by combining the bubble Laplace pressure
and accounting for the Clausius–Clapeyron relation[51,52]Here, Tw denotes the boiling surface temperature (wall
temperature), Tsat is the saturation temperature,
σ is the surface tension, hfg is
the latent heat of vaporization, ρg is the vapor
density, and r is the radius of the bubble embryo,
which equals to cavity radius in the situation when the cavity is
completely filled with vapor (see Section S7 for a detailed explanation). Similarly, a more complex analysis
is possible by accounting for factors like the surface wettability
in accordance with nucleation criteria such as Hsu’s criterion[53]where θ is the contact
angle, δ is the thermal boundary layer thickness, and rmin and rmax are
the minimal and maximal cavity radii suitable for nucleation, respectively.
In both equations the temperature difference (surface superheat) required
for the nucleation to occur is inversely related to the cavity diameter;
the larger the cavity, the lower the required superheat.However,
the HPO VS 1 surface demonstrates better performance at high heat
fluxes (above 600 kW m–2) with higher heat transfer
coefficients up to the CHF incipience. This difference in performance
is greater than the measurement uncertainty and can be attributed
to a greater percentage of smaller cavities on the VS surfaces and
an overall wider range of microcavity diameters with a decreased lower
limit of the microcavity diameter range. Additionally, submicrometer
microcavities are harder to detect and all of them might not have
been successfully identified potentially, increasing their actual
density. As the surface superheat increases with increasing heat flux,
it follows from eq that
smaller microcavities will gradually be activated and start producing
bubbles. Moreover, it is evident from eq that an increased surface superheat will broaden the
size-range of potentially active microcavities, activating smaller
cavities since the largest available will have already been activated
at the onset of nucleate boiling. Finally, smaller cavities are more
likely to entrap vapor and thus be activated by bubble growth from
the already active neighboring sites, ensuring a higher overall number
of active nucleation sites on the surface.[54] The same trends are observable on the superhydrophilic microcavity
surfaces (HPI VS and HPI ES).Figure c,d shows that nucleation begins at an extremely
low superheat on microcavity surfaces and that the number of active
nucleation sites is upwards of 25 sites/cm2, even at only
0.2 K of superheat. Both the surface and water were thoroughly degassed
prior to the boiling measurements through vigorous boiling for 60
min to minimize the amount of noncondensable gas entrapment. While
some air could inevitably have stayed on the surface and contributed
to early nucleation, the surfaces were further degassed during the
boiling experiments where the leftover vapor replaces the entrapped
air. Additionally, during the CHF incipience at the end of each experimental
run, the entire surface became covered by a vapor film, further promoting
displacement of air and replacement by vapor. Afterward, the surface
was cooled together with the surrounding water to below 90 °C,
ensuring the collapse of vapor nuclei before proceeding with the next
experimental run. Since the pressure inside the cavities is slightly
higher due to the curved interface, temperature higher than the saturation
temperature at atmospheric pressure is necessary to ensure the existence
of entrapped vapor and prevent its collapse, meaning that cooling
the surface and water below saturation temperature will effectively
collapse the existing vapor nuclei.Figure a shows the results of subsequent experimental
runs on several microcavity surfaces. It is evident that the differences
between the boiling curves of individual experimental runs are relatively
small and in the similar order of magnitude as the measurement uncertainty,
which supports the assumption of the negligible effect of possibly
entrapped air on an early onset of nucleate boiling.
Figure 5
(a) Evaluation of boiling
performance stability on HTMS-coated surfaces HPO VS 1 and HPO ES
1. (b) Evaluation of the surface functionalization process repeatability.
(a) Evaluation of boiling
performance stability on HTMS-coated surfaces HPO VS 1 and HPO ES
1. (b) Evaluation of the surface functionalization process repeatability.
Surface Stability and Functionalization
Repeatability
The stability of superhydrophobic microcavity
surfaces was evaluated through multiple experimental runs with an
emphasis on recording possible degradation of boiling performance
due to the hydrophobic coating degradation or due to the reduction
of the amount of entrapped air. Results in Figure a suggest that the degradation of boiling
performance is very small and most likely the results of a slight
degradation of hydrophobic properties of the HTMS coating, which shifts
the boiling curve to the right toward higher superheats and closer
to the hydrophilic microcavity surfaces. A further comparison of the
boiling curves recorded during repeated boiling runs is shown in Figure S23. Degradation after the first onset
of CHF is minimal compared to the degradation experienced by copper
surfaces where a modification of surface chemistry and morphology
occurs due to the transition between copper oxide forms.[30] Aluminum has the ability to quickly form a stable
passive layer, protecting it against further oxidation.[55,56] Overall, the stability is favorable from the applicative standpoint,
although evaluation of the long-term stability is still necessary.Repeatability of the superhydrophobic microcavity surface fabrication
process was evaluated by creating two additional HPO VS surfaces (HPO
VS 2 and HPO VS 3) and one additional HPO ES surface (HPO ES 2). Boiling
performance evaluation of additional surfaces in the form of boiling
curves is compared to the performance of the original surfaces in Figure b. The boiling curves
of each surface type lie closely together (well within the measurement
uncertainty), and both the CHF and heat transfer coefficient values
are extremely similar, indicating excellent repeatability of the surface
functionalization using laser texturing in combination with a superhydrophobic
coating application.
Mechanism of Boiling Performance
Enhancement
While both the superhydrophilic fully textured
surface (HPI FT) and the superhydrophilic microcavity surfaces (HPI
VS and HPI ES) enhanced the critical heat flux, the corresponding
superheat was approximately 50% lower on the microcavity surfaces
(see Section S8 and the comparison of all
boiling curves in Figure S22). This clearly
shows that boiling performance enhancement arises due to microcavities.
Moreover, it indicates that a fully textured surface without specifically
engineered features (i.e., microcavities) does not enhance the boiling
performance by much, despite its superhydrophilicity. According to
our previous study,[28] the nucleation site
density is 20–40 times higher on surfaces partially covered
by microcavities compared to an untreated surface and the nucleation
frequency is increased 2-fold. Furthermore, the bubble contact and
departure diameters are much smaller on the microcavity surface. Considering
the findings by Preckshot and Denny,[57] who
report that the diameters of detached bubbles decrease with increasing
nucleation site density, this explains the reduced horizontal bubble
coalescence and thus delayed dryout due to vapor blanketing. Based
on the established understanding of the effect that superhydrophilic
surfaces have on the boiling performance, the superheats on the HPI
VS and HPI ES surfaces would be much higher if the microcavities did
not serve as preferential nucleation sites circumventing the disadvantageous
high energy barrier for nucleation on “plain” superhydrophilic
surfaces.Similar differences can be observed when comparing
the performance of the superhydrophobic surfaces, which exhibit nearly
identical dynamic contact angles with a low contact angle hysteresis
and are, therefore, not parahydrophobic.[11] Since boiling is initiated from the Wenzel wetting regime, the HPO
FT surface exhibits favorable boiling performance with the heat transfer
coefficient reaching 80 kW m–2 K–1, although its performance is significantly lower than that of hydrophobized
microcavity surfaces. This happens since microcavities are able to
initiate boiling at an even lower superheat and provide an abundance
of (potentially) active nucleation sites that enhance the boiling
performance at low and medium heat fluxes and increase the CHF. The
final definitive evidence showing that the microcavities are responsible
for different boiling performance of HPO FT/VS/ES surfaces despite
the same wetting behavior comes from different microcavity sizes and
size distributions on HPO ES and VS surfaces (Figure ). The ES surface contains larger microcavities
from which nucleation starts at lower superheats. However, while the
microcavity size distribution is limited on the HPO ES surfaces, HPO
VS surfaces exhibit superior behavior at higher heat fluxes where
smaller microcavities are activated. The fabrication and comparison
of three VS and two ES superhydrophobic surfaces (Figure b) proves that this trend is
not just a one-time anomaly.To summarize, a comparison of both
superhydrophilic and superhydrophobic microcavity surfaces with corresponding
fully treated surfaces shows that microcavity surfaces always exhibit
superior performance when the wettability of the surfaces is similar.
Differences in boiling performance of ES and VS surfaces due to different
microcavity size distributions further prove that an abundance of
microcavities serving as active nucleation sites is the answer to
enhanced boiling performance. The superhydrophobic coating helps initiate
nucleation at lower surface superheats and reduce the value of the
latter parameter throughout the nucleate boiling range due to favorable
vapor entrapment behavior.While both HPI and HPO microcavity
surfaces shown in Figure b offer improved heat transfer performance and a similar increase
of the CHF, the heat transfer coefficient enhancement is much greater
with hydrophobic surfaces, which enable the onset of nucleate boiling
to occur at a lower surface superheat.[58,59] A comparison
of the heat transfer coefficients is shown in absolute terms in Figure a and relative to
the reference surface at four distinct heat fluxes in Figure b. The highest heat transfer
coefficient on a superhydrophilic microcavity surfaces was recorded
at CHF on surface HPI VS (83.1 kW m–2 K–1), which marks a 146% enhancement over the reference surface. The
superhydrophobic microcavity surface with a variable scanning separation
HPO VS 1, on the other hand, exhibits 2.4× higher heat transfer
coefficient (201.4 kW m–2 K–1),
which represents a 496% enhancement over the reference surface at
their respective CHF point. While most enhanced surfaces found in
the literature including our HPI surfaces offer heat transfer enhancement
especially at high heat fluxes, HPO microcavity surfaces offer enhancements
of up to 519% even at a low heat flux of 100 kW m–2 (7% of the CHF on the respective surface).
Figure 6
(a) Boiling performance
of best-performing surfaces displayed as the heat transfer coefficients
versus the heat flux and (b) as a comparison of the heat transfer
coefficient enhancement relative to the reference surface.
(a) Boiling performance
of best-performing surfaces displayed as the heat transfer coefficients
versus the heat flux and (b) as a comparison of the heat transfer
coefficient enhancement relative to the reference surface.The extreme boiling performance enhancement offered by the
superhydrophobic microcavity surfaces is further graphically explained
in Figure where superhydrophobic
and superhydrophilic microcavity surfaces (HPO μC and HPI μC,
respectively) are compared with an untreated reference surface (REF)
at three distinct heat fluxes. An idealized cross section of each
surface is shown together with a temperature scale on the left. The
actual temperatures are arbitrary, and the departed bubbles are not
drawn to scale. At a very low heat flux, the superhydrophobic microcavity
surface will already have entered the nucleate boiling regime due
to the lower energy barrier for the formation of the vaporous phase
on surfaces with a low wettability.[60] At
the same heat flux, the superhydrophilic microcavity and the untreated
surfaces have not yet formed an entrapped vapor nucleus and the entire
heat flux is removed only by natural convection. Since the heat transfer
coefficient of nucleate boiling is much higher than that of the natural
convection, an enhancement of up to 330% is present on the superhydrophobic
microcavity surface. At the slightly higher heat flux, both microcavity
surfaces will have entered the nucleate boiling regime associated
with high heat removal rates, while the reference surface still has
not formed a vapor nucleus and transitioned into nucleate boiling.
The latter is mostly due to the absence of cavities with suitable
dimensions for nucleation at the given surface superheat. In general,
only steep and poorly wetted cavities have been shown to entrap gas.[61] Similarly, Qi et al.[62] observed that only deep cavities are suitable for trapping vapor,
and while such cavities are unlikely to form during sanding/polishing,
they are clearly present on the microcavity surfaces. Interconnected
cavities, which form using laser texturing, further increase the possibility
of vapor entrapment.[23] At such a heat flux
level, an enhancement upwards of 70 and 600% is possible with superhydrophilic
and superhydrophobic microcavity surfaces, respectively. Finally,
all three surfaces are in the nucleate boiling regime at the third
and highest heat flux where the relative heat transfer coefficient
enhancement is not as extreme as before since the same mechanism of
heat removal is present on all three compared surfaces.
Figure 7
Schematic depiction
of the nucleation process enhancement with microcavities (μC)
and superhydrophobic HTMS coating at three distinct heat fluxes. Microcavities
and bubbles are not drawn to scale.
Schematic depiction
of the nucleation process enhancement with microcavities (μC)
and superhydrophobic HTMS coating at three distinct heat fluxes. Microcavities
and bubbles are not drawn to scale.The results demonstrate that, while the establishment of the Wenzel
regime will increase the heat transfer coefficient, CHF will not be
increased significantly. The superhydrophobic HPO FT surface without
suitable microscopic topographical features for boiling enhancement
notably increases the heat transfer coefficient, but the CHF is comparable
to that of the reference surface. A significant CHF increase is achieved
only when the Wenzel regime is combined with a suitable microstructure,
which enables effective nucleation throughout the nucleate boiling
regime. This is clearly demonstrated on superhydrophobic microcavity
surfaces (HPO VS and HPO ES).The presented results confirm
the findings of Allred et al.,[18] who showed
that efficient boiling heat transfer is possible on superhydrophobic
surfaces if the initial Wenzel wetting regime is achieved. However,
the latter authors recorded a CHF similar to that of the reference
surface. Using superhydrophobic microcavity surfaces, we not only
doubled the heat transfer coefficient achieved by Allred et al. but
also enhanced the CHF by a significant margin. Microcavities in the
appropriate size range for the nucleation under given boiling conditions
provide an abundance of nucleation sites enabling efficient bubble
formation, whereas the superhydrophobic coating reduces the activation
temperature for bubble formation and growth. Furthermore, the Wenzel
wetting regime limits the spreading of the vapor film along the surface
and limits horizontal coalescence, thus preventing local dryouts and
hotspots. Our findings allude to the fact that superhydrophobicity
as such does not exist under present boiling conditions on surfaces
where the low surface energy coating is coupled with surface microstructuring,
and the heat transfer enhancement in light of a low superheat nucleate
boiling onset can be explained by a lowered energy barrier for nucleation
because of the coating’s low surface energy and not because
of air entrapment, which otherwise lowers surface superheat at the
nucleate boiling onset and significantly changes the nucleation and
bubble dynamics.[61,63]
Enhancement
Magnitude Evaluation
The performance of newly developed hydrophobized
laser-textured aluminum surfaces is compared to the previously reported
pool boiling enhancements achieved using laser-textured surfaces in Table . Most research studies
were performed on copper and stainless steel, while no references
dealing with boiling heat transfer on laser-textured aluminum could
be found. All studies shown in Table were conducted using water. Authors of the reviewed
publications utilized either nanosecond (ns), picosecond (ps), or
femtosecond (fs) laser pulses for surface texturing. As the highest
achieved critical heat flux (CHF) and the highest heat transfer coefficient
(h) were often not recorded on the same enhanced
surface, highest reported values were used regardless of the surface
(e.g., in the present study, the highest CHF was achieved on the surface
HPO ES 2 and the highest heat transfer coefficient was achieved on
the surface HPO VS 1). Furthermore, CHF was not recorded during some
of the experiments due to the limitations of the experimental setup
or if the measurements were performed on thin foils where the CHF
was either (i) not recorded to avoid heater burnout or (ii) the burnout
heat flux was recorded, but due to the low thermal effusivity of the
heater, the realistic CHF could be higher.
Table 2
Comparison
of Pool Boiling Performance of Previously Reported Laser-Textured
Surfaces against Superhydrophobic Microcavity Surfaces Presented in
this Study
authors
material
laser pulses
CHF (kW m–2)
ΔCHF (%)
h (kW m–2 K–1)
Δh (%)
Kruse et al.[26]
stainless steel
fs
1420
+56
67.4
+193
Kruse et al.[64]
copper
fs
1300a
–22
70.3a
+1
Kruse et al.[65]
copper
fs
1430
–15
87.0
+24
Nirgude and Sahu[27]
copper
ns
N/Ab
N/A
41.5b
+80
Zupančič et al.[28]
stainless
steel
ns
N/Ab
N/A
35.4b
+177
Voglar et al.[29]
stainless steel
ns
1200c
+269
48.2c
+166
Može et al.[30]
copper
ns
1580
+89
76.1
+129
Mani et al.[66]
copper
ps
2260
+103
97.5
+153
this study
aluminum
ns
1539
+41
201.4
+496
Only surfaces without
microchannels are considered.
CHF not measured, HTC at the highest heat flux measured on an individual
surface.
Thin heater burnout.
Only surfaces without
microchannels are considered.CHF not measured, HTC at the highest heat flux measured on an individual
surface.Thin heater burnout.The results in Table clearly show that the highest
heat transfer coefficients recorded during this study are at least
2 times higher than the next highest reported value. Furthermore,
the heat transfer enhancement of almost 500% on hydrophobized microcavity
surfaces clearly outmatches all other laser-textured surfaces for
which the highest enhancement does not exceed 200%. Additionally,
the heat transfer coefficient enhancement is often achieved either
only at high heat fluxes and/or high surface superheats. This diminishes
the practical value of such enhanced surfaces as most applications
in (micro)electronics require low superheats of the cooling (boiling)
surface. While both the absolute CHF value and the CHF enhancement
are not the highest reported, their values are still respectable,
especially considering (i) the extreme value of the heat transfer
coefficient achieved at the same time and (ii) that the possibility
of efficient boiling on superhydrophobic surfaces is a new concept
in boiling heat transfer enhancement.The surfaces presented
in this paper are capable of achieving a heat transfer coefficient
of 201 kW m–2 K–1 at a superheat
of only 7.1 K, making them very suitable for sensitive cooling applications
where the low temperature of the cooled component is required together
with a high heat removal rate. For example, if the developed surfaces
were used to cool an electronic component dissipating a heat flux
of 100 kW m–2 (approximate surface-averaged heat
flux on the most powerful modern consumer desktop central processor
units), then the HPO ES 1 surface would be able to provide a surface
superheat of just 2.3 K in comparison with a superheat of 14.3 K for
the untreated reference surface due to the much higher heat transfer
coefficient at a low heat flux (44 kW m–2 K–1 versus 7 kW m–2 K–1, respectively). Another important advantage of the proposed fabrication
method is the straightforward and scalable approach with reasonably
low costs and provisions for rapid production.
Conclusions
In summary, we demonstrate extreme boiling performance
of superhydrophobic microcavity surfaces fabricated by combining direct
laser texturing and chemical vapor deposition of a hydrophobic silane.
Both superhydrophilic and superhydrophobic surfaces with laser-engineered
microcavities exhibit significantly enhanced boiling heat transfer
with favorable repeatability of the surface functionalization technique.
The highest achieved heat transfer coefficients exceed 200 kW m–2 K–1 on a superhydrophobic microcavity
surface, marking a five-time enhancement at a low superheat of 7.1
K. The superhydrophobic nature of the functionalized surfaces does
not necessarily cause adverse boiling performance, confirming that
the Wenzel wetting regime is possible during boiling on apparently
superhydrophobic surfaces. By combining laser-induced microcavities
with a superhydrophobic coating, we demonstrate a significantly increased
CHF, proving that enhanced boiling heat transfer is possible on superhydrophobic
surfaces with an appropriate microstructure where the establishment
of the Wenzel wetting regime is achieved. With this, we also demonstrate
that both the wettability of the surface and its topography are important
factors influencing the boiling performance in a complementary manner.
The fabrication process has great potential for the development of
a new generation of heat transfer surfaces for enhanced phase change
as it can be used to quickly and repeatably produce low-cost, high-performance
phase-change heat transfer surfaces.
Experimental Section
Nanosecond
Laser Surface Texturing
Samples were laser-textured using
a nanosecond fiber laser (SPI Lasers, G4, SP-020PA-HS-S-A-Y) with
a wavelength of λ = 1060 nm, a beam quality of M2 = 1.3, and a pulse duration of 45 ns at full width at half-maximum
(FWHM). The laser beam was guided across the surface of the sample
using an F-Theta lens (focal distance L = 163 mm) and a scanning head (Raylase,
SS-IIE-10) with an angular resolution of 12 μrad (which equals
to 2 μm at L = 163 mm). The beam spot diameter equaled to 38 μm and the
samples were textured in the focal plane. Surfaces with cavities (VS
and ES) were treated using an average power of laser pulses of 17.8
W, a peak pulse fluence of 17.3 J cm–2, a pulse
repetition rate of 180 kHz, and a scanning velocity of 400 mm s–1. Fully textured (FT) surfaces were treated with an
average power of 7.4 W, a peak pulse fluence of 14.4 J cm–2, a pulse repetition rate of 90 kHz, and a scanning velocity of 300
mm s–1. The threshold fluence for laser ablation
of the used material (Fth) was evaluated
by drilling linear microchannels using different peak fluences (average
laser powers), as previously described by Gregorčič
et al.[32] In this way, a value of Fth ≈ 3 J cm–2 was determined
for a 6082 aluminum alloy with the same surface finish as used during
the laser functionalization of boiling surfaces. The samples were
textured with parallel laser beam passes (0° texturing). A constant
scanning line separation of Δy = 65 μm
was used for surfaces with microcavities produced by an equidistant
separation value (ES), while fully textured surfaces (FT) were obtained
at Δy = 30 μm. Surfaces with microcavities
and a variable separation (VS) were textured using a variable separation
of Δy = {55, 60, and 65 μm} to increase
the size range of the produced cavities (see Section S4 for the concept of variable separation). All samples were
textured in air atmosphere with no forced air movement. All surfaces
exhibited superhydrophilicity immediately after laser texturing; they
were in a saturated Wenzel regime with a contact angle of 0°.[24] If no subsequent treatment was applied to the
surface, then it was denoted as a hydrophilic surface (HPI). An untreated,
finely sanded aluminum surface was used as a reference to compare
all results to and denoted as REF.
HTMS
Coating Fabrication
Selected surfaces were hydrophobized
using the chemical vapor deposition (CVD) process.[34,43] The coating mixture was prepared by mixing 0.05 mL of (heptadecafluoro-1,1,2,2-tetrahydrodecyl)trimethoxysilane
(abbreviated to HTMS; Gelest Inc.) with 0.95 mL of toluene (≥99.7%,
Honeywell International Inc.) in a glass vial at room temperature.
The vial was then placed in a 1000 mL plastic container together with
the samples and covered by aluminum foil. The plastic container was
placed in a preheated oven at 85 °C for 90 min at atmospheric
pressure for the coating to form. After 90 min, the oven was turned
off and the plastic container was allowed to cool down in the oven
before it was taken out and the samples were removed. Having undergone
the HTMS treatment, the surfaces were denoted as hydrophobic surfaces
(HPO).
Surface Morphology Analysis
The morphology
of samples was analyzed using a scanning electron microscope (JEOL
JSM-6500F) at an accelerating voltage of 15 kV utilizing a secondary
electron detector. SEM images were used to analyze the diameters of
cavities on laser-textured surfaces. Since most cavities are elliptical,
the semimajor (rma) and semiminor (rmi) axes were measured and the mean radius (rμ) was calculated to be (2rma + rmi)/3. The surface density
of cavities was calculated by manually counting all recognizable cavities
on SEM images and dividing their count by the surface area depicted
in the given SEM image. Cross sections were fabricated by focused
ion beam (FIB) milling (Zeiss CrossBeam 550 FIB/SEM dual beam microscope),
and their SEM images were taken at a sample tilt angle of 54°.
Prior to FIB milling, the surfaces were protected by deposition of
a 0.5 μm thick layer of Pt. The 2D mapping of elemental composition
of the cross sections was performed by the Octane Elite EDS system
(produced by EDAX) using the TEAM software.
Contact
Angle Measurement
The apparent contact angle (CA) was measured
at room temperature and atmospheric pressure using twice-distilled
water and a custom contact angle goniometer utilizing an IDS UI-3060CP
high-speed camera with a macro lens. On every surface, five measurements
were conducted by depositing 15–20 μL of droplets onto
different parts of the surface and the captured images were processed
using a custom MathWorks MATLAB script to obtain the average value
of the contact angle. Measurements were performed both before and
after the boiling performance measurements. While some authors[67] denounce the importance of (static) CA as it
can take any value between the advancing and receding CA, we believe
that calculating the apparent CA as the arithmetic mean of multiple
(static) CA measurements provides grounds for comparison of surfaces
and correlation of their wetting properties with boiling behavior.
The advancing and receding contact angles were measured using the
same goniometer and the droplet inflation/deflation method. A recorded
high-speed footage was analyzed to obtain relevant images of the triple
contact line movement and the values of the dynamic contact angles.
Pool Boiling Performance Measurement
Pool
boiling performance was evaluated using a custom experimental setup
previously described in ref.[30] and shown
schematically in Section S10. Circular
6082 aluminum alloy samples (AlCu d.o.o.) with a thickness of 4 mm
and diameter of 18 mm were utilized for boiling experiments. A 9 mm
long, 1 mm diameter hole was drilled into the middle of the side of
the sample into which a thin type K thermocouple (Class 1 wire, 5TC
series; Omega Engineering Inc.) was embedded. Samples were mounted
into a low thermal conductivity polymer (PEEK) holder using a silicone
O-ring, and the gap was sealed with flexible epoxy resin (Duralco
4538; Cotronics Corp.). The boiling chamber was constructed from a
glass cylinder (internal diameter of 100 mm) between two stainless
steel flanges and was filled with approximately 500 mL of coolant
during the measurements. The holder with the sample was attached to
the bottom flange so that the boiling process took place only on top
of the sample’s flat horizontal surface. Heat was supplied
to the sample using a copper heating block and three 400 W, AC-powered
cartridge heaters, whose power was regulated with a variable transformer.
Thermal paste (MX-4; Arctic GmbH) was used between the sample and
the heating block to ensure a low thermal resistance of less than
0.15 K W–1. The spatial temperature gradient along
the axis of the heating block was measured by four type K thermocouples,
5 mm apart from one another. Twice-distilled water (3478.2; Carl Roth
GmbH) at atmospheric pressure and in a saturated state was used as
the coolant and was degassed though vigorous boiling using an immersion
heater for 60 min prior to any measurements. The vapor was condensed
in a glass reflux condenser and returned to the boiling chamber. A
detailed depiction of the experimental setup is shown in Figures S24 to S26. Measurements were repeated
multiple times on every surface to evaluate their stability. During
each measurement, the power of cartridge heaters was slowly increased
so that the heat transfer performance of the tested surface was measured
from zero to the incipience of the CHF. The heat flux was increased
by a rate of less than 2 kW m–2 s–1 (see Section S11 where the dynamic measurement
approach is validated). Data was collected at a rate of 1 Hz using
a data logger (34970A; Keysight Technologies) and a 16-channel multiplexer
module (34902A; Keysight Technologies). A moving average filter was
used to reduce the effect of thermocouple noise in data processing.
Data Reduction and Measurement Uncertainty
Heat flux was calculated using Fourier’s law of steady-state
heat conduction based on the temperature measurements along the heater
block and the temperature-dependent value of the copper block’s
thermal conductivity.[68] The calculated
heat flux value was used together with the temperature inside the
sample and the temperature-dependent thermal conductivity of aluminum
to extrapolate the temperature of the surface. Superheat of the surface
was calculated from the temperature of the surface and the average
temperature of the water, measured by two submerged type K thermocouples.
Finally, the heat transfer coefficient was calculated by dividing
the heat flux and the corresponding surface superheat. A detailed
description of data reduction including relevant equations can be
found in Section S13. The heat flux measurement
uncertainties were 10.5 and 53 kW m–2 at 100 kW
m–2 and 1 MW m–2, respectively.
The surface superheat measurement uncertainties were 0.38 and 1.07
K at 100 kW m–2 and 1 MW m–2,
respectively. The uncertainty of the heat transfer coefficient depends
heavily on the value of both heat flux and surface superheat and therefore
varies between surfaces; a worst-case value at a heat flux of 500
kW m–2 is 12.0 kW m–2 K–1.
Authors: Sameh Tawfick; Michael De Volder; Davor Copic; Sei Jin Park; C Ryan Oliver; Erik S Polsen; Megan J Roberts; A John Hart Journal: Adv Mater Date: 2012-03-06 Impact factor: 30.849