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Heat Transfer Research
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ISSN Imprimir: 1064-2285
ISSN En Línea: 2162-6561

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Heat Transfer Research

DOI: 10.1615/HeatTransRes.2018026342
pages 865-882

OPTIMIZATION OF THERMAL AND SOLUTAL STRATIFICATION IN SIMULATION OF WILLIAMSON FLUID WITH ENTROPY GENERATION AND ACTIVATION ENERGY

Muhammad Ijaz Khan
Department of Mathematics, Quaid-I-Azam University, Islamabad 44000, Pakistan
Sumaira Qayyum
Department of Mathematics, Quaid-I-Azam University, Islamabad 44000, Pakistan
Tufail A. Khan
Department of Basic Sciences, University of Engineering & Technology, Peshawar, Pakistan
M. Imran Khan
Heriot Watt University, Edinburgh Campus, Edinburgh EH14 4AS, United Kingdom
Tasawar Hayat
Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan; Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, P.O. Box 80257, Jeddah 21589, Saudi Arabia
Ikram Ullah
Department of Mathematics, Quaid-I-Azam University, Islamabad 44000, Pakistan
Ahmed Alsaedi
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

SINOPSIS

A numerical study is accomplished to examine the irreversibility (entropy generation optimization) of the behavior of Williamson fluid flow with Arrhenius activation energy. Viscous dissipation, thermal and solutal stratification, nonlinear mixed convection, activation energy, and thermal radiation are considered in mathematical modeling. The main attention here is paid to computing the total entropy generation rate. It is observed that influential variable parameters like the Brinkman number, temperature difference parameter, concentration difference parameter, and diffusion parameter have a major impact on entropy generation and Bejan number. Nondimensional irreversibility is defined to fully assess the comprehensive impacts of heat flux and mass flow rate. The obtained result shows that the entropy generation rate strongly depends on the mass flow rate and heat flux. Furthermore, the velocity and temperature gradients are numerically computed and discussed.

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