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This work unveils the impact of third-grade fluid flowing in microchannel placed vertically and packed by porous media. Walls facilitate injection/suction of concerned fluid. Slip and convective situations are employed. Active action of non-linear radiation and heat source are contemplated. Pressure gradient is the aspect that’s responsible for the flow. The equations modelled consider the contribution of buoyancy forces on geometry with viscous dissipation. The outcomes of the customised equations for the above-narrated flow are assessed by the tactic of reducing the dimensions of equations to one. Owing to the flow and heat transport, entropy and Bejan number are effectually learned with the aid of the Runge Kutta Fehlberg method using graphical manifestation. The consequence of this scrutiny upholds that the rise of third-grade fluid parameter depletes the flow profile. Radiation parameter plummets temperature and entropy produced. The heat source parameter effect is reflected on thermal profile by boosting temperature.

Third grade fluid flow in a microchannel crammed with permeable media liable to non-linear thermal radiation