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Computational simulations of hydromagnetic dissipative heat transfer of variable electric conductivity of micropolar fluid flow and non-uniform heat absorption or generation with joule heating have been studied in this work. The flow past an inclined surface with an unvarying heat flux. The transformed dimensionless equations of the governing model are solved by Runge-Kutta algorithm coupled with shooting scheme to depict the dimensionless temperature, microrotation and velocity distributions at the border layer. The substantial bodily quantities of the flow are conferred. The results depict that the significance of the coefficient of the skin friction and the Nusselt number increases for uneven electric conductivity and non- homogeneous heat sink or source at the plate.