| Abstract: |
| A simplified mathematical model based on Cattaneo-Christov heat flux model is presented to study entropy generation in Powell-Eyring nanofluid. Nanofluid occupies the space over a porous horizontal surface in a Darcy type porous medium and the flow is induced by the non-uniform stretching of the surface. Slip conditions are assumed at the boundary and effect of thermal radiations are also considered in the present work. The mathematical formulations are carried out under the assumptions that viscosity effects are confined to a narrow region adjacent to the stretching surface. Keller Box finite difference scheme is employed to solve the transformed system of ordinary differential equations appeared after using the suitable similarity transformations. The numerical computations are carried out to study variations in velocity, temperature and entropy generation profiles of $Cu$-water and $TiO_2$-water nanofluids to study effect of governing parameters. The analysis is presented considering spherical, hexahedron, tetrahedron, cylindrical and lamina shaped nanoparticles. |
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