M Waleed Ahmad Khan1, M Ijaz Khan2, T Hayat3, A Alsaedi4. 1. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan. 2. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan. Electronic address: ijazfmg_khan@yahoo.com. 3. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan; Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80257, Jeddah 21589, Saudi Arabia. 4. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80257, Jeddah 21589, Saudi Arabia.
Abstract
BACKGROUND: The application of entropy optimization has consistently incorporated in traditional and industrial fields. The system is permanently sustainable, usually a final ideal structure may not exist in general, as common evolution shows trends in a long time. The measurement of the entropy generation related to heat transport can be proportional to temperature difference. The minimization of entropy generation through various parameters is our main purpose in this research article. Therefore, here we have discussed 2D flow of non-Newtonian liquid over a stretched surface with entropy optimization. Convective boundary conditions of temperature are implemented in the current flow phenomenon. Furthermore, viscous dissipation has been taken into account. METHOD: The involved nonlinear differential system has been tackled through ND solve numerical technique (Shooting method). RESULTS: The key observations are summarized as follows: (i) Velocity grows for larger estimations of power law index of fluid. (ii) Temperature θ˜(ξ) increases for Ec. (iii) Surface drag enhances for higher values of Ha. (iv) The temperature gradient NuxRe-1n+1 is inversely proportional to Ec and Ha. (v) Entropy NG(ξ) is larger for higher Ec and Ha while the opposite impact is examined for M. (vi) Bejan number Be decreases with Prand M, while it upsurges with Ha and Ec.
BACKGROUND: The application of entropy optimization has consistently incorporated in traditional and industrial fields. The system is permanently sustainable, usually a final ideal structure may not exist in general, as common evolution shows trends in a long time. The measurement of the entropy generation related to heat transport can be proportional to temperature difference. The minimization of entropy generation through various parameters is our main purpose in this research article. Therefore, here we have discussed 2D flow of non-Newtonian liquid over a stretched surface with entropy optimization. Convective boundary conditions of temperature are implemented in the current flow phenomenon. Furthermore, viscous dissipation has been taken into account. METHOD: The involved nonlinear differential system has been tackled through ND solve numerical technique (Shooting method). RESULTS: The key observations are summarized as follows: (i) Velocity grows for larger estimations of power law index of fluid. (ii) Temperature θ˜(ξ) increases for Ec. (iii) Surface drag enhances for higher values of Ha. (iv) The temperature gradient NuxRe-1n+1 is inversely proportional to Ec and Ha. (v) Entropy NG(ξ) is larger for higher Ec and Ha while the opposite impact is examined for M. (vi) Bejan number Be decreases with Prand M, while it upsurges with Ha and Ec.
Authors: Ebrahem A Algehyne; Amal F Alharbi; Anwar Saeed; Abdullah Dawar; Poom Kumam; Ahmed M Galal Journal: Sci Rep Date: 2022-09-23 Impact factor: 4.996