Mixed Convective Flow of Sisko Nanofluids Over a Curved Surface with Entropy Generation and Joule Heating

This article addresses the problem of entropy generation optimization of Sisko nanofluid over a curved stretching sheet under the combined effects of mixed convection, Joule heating, and Lorentz force. The Brownian motion (Nb) and thermophoretic diffusion (Nt) effects are also studied. The mass and heat transportation are formulated by convective conditions, Joule heating effects and Lorentz forces. The mathematical formulation of this problem results in a system of nonlinear PDE's and along with the curvilinear coordinate system. These partial differential equations are transformed into ordinary differential equations by utilizing suitable geometry based similarity transformations. The resulting ordinary differential equations are solved numerically by using BVP4C. The effects of all physical parameters on the velocity, temperature, and concentration are discussed for different values of the involved parameters through graphs. It can be seen that an increase in the values of magnetic parameters leads to the decline of the velocity field. The temperature and concentration profile increase with the increase in Biot number. The irreversibility rate and Bejan number showed declining behavior for increasing values of the Brinkman number. Additionally, the local skin-friction coefficient, local Nusselt and Sherwood numbers are tabulated to discuss the physical phenomenon. The novelty of this work is that the Sisko fluid flow through curved surface along with above mentioned effects is studied first time. This study is extremely beneficial in continuous casting, drawing of annealing wires, paper product, glass fiber, and polymer sheet extrusion from dye and many other real-world processes that involve stretching velocities.