Significance of heat generation in MHD channel flow of a maxwell fluid with heat suction and blowing effects

Abstract

This investigation aims to provide numerical analyses for a complex problem involving magnetohydrodynamics (MHD), radiation and heat generation of a Maxwell fluid within a porous medium on the channel. The governing equations for momentum, concentration, and energy are converted from nonlinear partial differential equations (NLPDEs) into nonlinear ordinary differential equations (NLODEs) for concentrated analysis using a similarity transformation. Dimensionless velocity, temperature and concentration fields corresponding to steady motions of Maxwell fluid over a channel are numerically recognized using the bvp4c scheme in MATLAB. We verified our findings by comparing them with existing work, achieving an outstanding agreement. The impact of physical parameters on fluid motion is plotted and debated. The results indicate that as the Deborah number increases, the temperature profile decreases, but the velocity and concentration contours increase for the suction effect. However, the opposite trend is detected for the injection parameter. Heat generation amplifies the temperature contour for suction and injection effects.