This investigation examines the impact read more of temperature-dependent variable viscosity on hydromagnetic couple stress with internal heat generation through porous substances over convective cooling walls.The governing equations are formulated, derived and solved with the use of the collocation weighted residual method to provide solutions.The features of the solution as a function of the physical parameters of the problem are presented with the help of graphs.Notably, the impact of the temperature-dependent variable viscosity and heat read more source showed a remarkable impact on fluid velocity and temperature distributions along with the entropy generation rate.