Literature DB >> 25906319

Correction: Modeling and Analysis of Unsteady Axisymmetric Squeezing Fluid Flow through Porous Medium Channel with Slip Boundary.

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Abstract

Year:  2015        PMID: 25906319      PMCID: PMC4408140          DOI: 10.1371/journal.pone.0125328

Source DB:  PubMed          Journal:  PLoS One        ISSN: 1932-6203            Impact factor:   3.240


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There is an error in Fig 5(b). The authors have provided a corrected version here.
Fig 5

Velocity profiles for various values of M = 1,3,6,0 keeping R = 1 and γ = 1 fixed.

The effect of permeability constant M on the Normal velocity profiles is shown in (a) while the effect on the longitudinal velocity profiles is shown in (b).

Velocity profiles for various values of M = 1,3,6,0 keeping R = 1 and γ = 1 fixed.

The effect of permeability constant M on the Normal velocity profiles is shown in (a) while the effect on the longitudinal velocity profiles is shown in (b). There are errors in the legends for Table 1, Table 3, Table 4, and S2 Table. The publisher apologizes for the errors.
Table 1

HPM solutions along with absolute residuals for various R when γ = 1 and M = 3.

ξ R = 0.7 R = 0.9 R = 1.0
SolutionResidualSolutionResidualSolutionResidual
0.00.0.0.0.0.0.
0.10.07790567.94082×10-7 0.07583761.07178×10-9 0.07466342025321×10-9
0.20.1571021.2091×10-6 0.1531321.88369×10-9 0.1508782.65694×10-9
0.30.238899.05355×10-7 0.233342.10531×10-9 0.2301929.23882×10-10
0.40.324593.44432×10-7 0.3179231.41494×10-9 0.3141461.56557×10-9
0.50.4155522.53517×10-6 0.4083462.23822×10-10 0.4042683.09459×10-9
0.60.5131645.28935×10-6 0.506082.26552×10-9 0.5020762.99595×10-9
0.70.6188697.77624×10-6 0.6126063.67602×10-9 0.6090711.86451×10-9
0.80.7341728.81226×10-6 0.7294213.68216×10-9 0.7267427.09482×10-10
0.90.8606577.25419×10-6 0.8580382.57384×10-9 0.8565641.02005×10-10
1.01.2.67891×10-6 1.1.04787×10-9 1.8.59397×10-21
Table 3

HPM solutions along with absolute residuals for various γ when M = 1 and R = 0.3.

ξ γ = 0.5 γ = 0.7 γ = 1.0
SolutionResidualSolutionResidualSolutionResidual
0.00.0.0.0.0.0.
0.1-0.001041574.04403×10-8 0.05513443.82927×10-12 0.07544761.49494×10-12
0.20.004087326.45840×10-8 0.112997.82407×10-12 0.1523812.63267×10-12
0.30.02154486.60535×10-8 0.1762871.09622×10-11 0.2322852.95503×10-12
0.40.05746575.05202×10-8 0.2477441.10414×10-11 0.3166472.01172×10-12
0.50.1179532.95181×10-8 0.3300786.50968×10-12 0.4069552.54463×10-13
0.60.2090711.22993×10-8 0.4260041.10312×10-12 0.50473.09242×10-12
0.70.3368492.02592×10-9 0.5382387.30838×10-12 0.6113755.06706×10-12
0.80.5072812.84278×10-9 0.6694988.72680×10-12 0.7284785.09570×10-12
0.90.7263416.33995×10-9 0.8225066.65201×10-12 0.8575153.56648×10-12
1.01.1.38222×10-8 1.3.95861×10-12 1.1.43396×10-12
Table 4

RK4 solutions along with absolute residuals for various R when γ = 1 and M = 3.

ξ R = 0.7 R = 0.9 R = 1.0
SolutionResidualSolutionResidualSolutionResidual
0.00.9.50912×10-5 0.6.14718×10-5 0.3.53857×10-5
0.10.07790565.47777×10-6 0.07583763.44574×10-6 0.07466341.76807×10-6
0.20.1571021.35127×10-6 0.1531328.4865×10-7 0.1508784032163×10-7
0.30.238893.7631×10-7 0.233342.35587×10-7 0.2301921.18306×10-7
0.40.324591.08892×10-7 0.3179236.83416×10-8 0.3141463.48009×10-8
0.50.4155519.31167×10-9 0.4083464.7683×10-9 0.4042681.37043×10-10
0.60.5131641.37754×10-7 0.506088.29938×10-8 0.5020763.42575×10-8
0.70.6188694.58691×10-7 0.6126062.76956×10-7 0.6090711.16329×10-7
0.80.7341721.67895×10-6 0.72942110.1238×10-6 0.7267424.23736×10-7
0.90.8606576.88124×10-6 0.8580384.14347×10-6 0.8565641.727×10-6
1.01.1.43274×10-4 1.8.5963×10-5 1.3.5341×10-5
In the Table 1 legend, “M = 0.3” should read “M = 3.” Please see the correct Table 1 legend here. A gamma is missing from the legend of Table 3. Please see the correct Table 3 legend here. In the legend of Table 4, “R = 0.3” should read “M = 3.” Please see the correct Table 4 legend here. In the legend of S2 Table, “R = 03” should read “R = 0.3.” Please see the correct S2 Table legend below.

Comparison of HPM and RK4 solutions for various M when γ = 1 and R = 0.3.

(DOCX) Click here for additional data file.
  1 in total

1.  Modeling and analysis of unsteady axisymmetric squeezing fluid flow through porous medium channel with slip boundary.

Authors:  Mubashir Qayyum; Hamid Khan; M Tariq Rahim; Inayat Ullah
Journal:  PLoS One       Date:  2015-03-04       Impact factor: 3.240

  1 in total

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