Heat transfer and entropy generation on mixed convection hydromagnetic slip-flow in a channel filled with porous medium: Adomian decomposition approach

Abstract

This study analyses the heat transfer and entropy generation on mixed convection hydromagnetic fluid flow in a permeable parallel wall vertical channel; filled with an optically thick and electrically conducting liquid permeated by a uniform transverse magnetic field. The study considers the nonlinearity in thermal radiation, the irregular thermal heat produced/consumed, and the slipperiness and mass flux at the walls. The nonlinear coupled governing partial differential equations are reduced to ordinary dimensionless types. The Adomian Decomposition Method (ADM) is applied to solve the emerging boundary value problem. Comparisons are made for some basic emergent scientific parameters using the evaluated values of the velocity and temperature profiles for ADM and numerical algorithm (RKF 4-5) in the Maple, and the results are impressive. Entropy generation numbers are computed through the Bejan formulation. The results are presented for the velocity, temperature and entropy generation profiles and discussed quantitatively. Amongst others, it is perceived that velocity increases with heat generation and suction-based parameters while entropy generation surges consequentially to the improved Grashof and Darcy numbers in the entirety of the flow regime. This study finds applications in modern engineering systems for energy loss control, frequently encountered in the manufacturing, nuclear energy and processing industries.