Entropy Generation Analysis for an MHD Slip Nano-Fluid Flow over a Stretching Permeable Surface

Abstract

The main propose of the present article is to study the second law of thermodynamics over a stretching permeable surface in the presence of the uniform vertical magnetic field in the slip nano-fluid regime. In this study, four types of nanoparticles i.e. Copper , Copper oxide , Aluminum oxide , and Titanium dioxide and also water as the base fluid are considered. Entropy generation equations, for the first time in this problem, are derived as a function of velocity and temperature gradients. Velocity profile as well as temperature distribution and averaged entropy generation are obtained using Homotopy Analysis Method (HAM). An excellent agreement exists between the present result and the other researchers’ result. The obtained result of present study presents that by decreasing magnetic parameter, nanoparticle volume fraction parameter, suction parameter, Reynolds number, Brinkman number, and Hartmann number as well as increasing the slip velocity parameter, the generated entropy reduces.

Keywords

• second law of thermodynamics
• slip flow
• magneto-hydrodynamics flow
• nano-fluid
• homotopy analysis method