Entropy-optimized dissipative flow of Carreau–Yasuda fluid with radiative heat flux and chemical reaction
Department of Mathematics, Riphah International University, Faisalabad Campus, 38000, Faisalabad, Pakistan
2 Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P.O. Box 80203, 21589, Jeddah, Saudi Arabia
Accepted: 12 June 2020
Published online: 22 June 2020
The main propose of this research communication is to explore the collective influence of Ohmic heating, radiative heat flux, and viscous dissipation on the entropy-optimized reactive flow of non-Newtonian fluid toward a stretched surface. The fluid flow is electrically conducted in the presence of applied magnetic field and generated by stretching phenomenon. The effects of heat generation/absorption, radiative heat flux, dissipation, and Ohmic heating are utilized in the mathematical modeling of energy expression. Furthermore, the chemical reaction is considered. The total entropy rate of the Carreau–Yasuda fluid is discussed versus four irreversibilities, i.e., heat transfer irreversibility, fluid friction irreversibility, magnetic or Ohmic heating irreversibility, and chemical reaction irreversibility and is calculated through implementation of the second law of thermodynamics. Series solutions are calculated for the desired flow expressions via homotopy analysis method. Behaviors of sundry flow parameters on the velocity, temperature, concentration, entropy rate, and Bejan number are physically discussed and the results are plotted graphically. The skin friction coefficient (drag force) and Nusselt number (heat transfer rate) are calculated numerically and discussed with the help of magnetic parameter, Weissenberg number, Prandtl number, radiation parameter and Eckert number. The obtained results reveal that entropy enhances for higher values of radiation parameter and Brinkman number.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020