This analysis examines a non-uniform heat source or sink, the flow of a power-law fluid induced by vertical parallel plates, and heat transfer using variable viscosity and thermal conductivity. Temperature likely exponentially changes viscosity and thermal conductivity. The implicit finite difference approach solves governing partial differential equations. Power-law index, Prandtl number, variable viscosity, and thermal conductivity are analysed. Skin friction, Nusselt number, and Sherwood number are graphically depicted to analyse channel fluid behaviour.