Effect of Temperature Dependent Viscosity in Convective Heat Transfer of Newtonian Fluids Through Vertical Permeable Parallel Plates With Uniform Suction/Injection Considering Internal Heat Generation

Magnetohydrodynamic convective heat transfer in a Newtonian fluid through vertical, permeable parallel plates with uniform injection/suction is considered. The effects of temperature-dependent viscosity and internal heat generation are included. Walls are considered to be maintained at uniform but different temperatures. The novelty of the work lies in considering temperature-dependent viscosity which results in coupled momentum and energy conservation equations. Further, properly implementing the Least Square Method (LSM) for solving coupled differential equations is demonstrated. LSM generates semi-analytical solutions for velocity and temperature in the Symbolic computation platform of MATLAB. Effects of Reynolds viscosity parameter, cross-flow Reynolds number, Peclet number, heat generation/absorption parameter, buoyancy parameter, Hartmann number and Brinkman number on velocity, temperature, entropy generation and Bejan number are examined in detail. When the temperature coefficient of the viscosity parameter increases from 0.02 to 0.8, (causing a decrease in viscosity) velocity increases from 0.25 to nearly 0.50. The peak temperature attains a value of 1.1 for cross-flow Reynolds number 0.1. Effect of temperature gradient on total entropy generation in marginal as it is less compared to velocity gradient. Bejan number reaches peak value in the region where velocity is more. The results of the present study can be useful for the design of fluid and thermal systems in the filtration process, and chemical engineering.