The main objective of the convective incompressible fluid flow placed in a magnetic field, with vertical motion through an isothermally heated porous channel. The Super-hydrophobic the slip was applied on one wall along with temperature jump, while there is no slip on another wall. The analytical results are discussed qualitatively for the parameters which were on the mathematical formulation on the basis of the model equations designed for the linear momentum and energy balance. Decreasing the value of the slip parameter is noticed due to decreasing in temperature. The effects of heat source and porous medium on the micro channel flow is analysized in detail. Coparesion of current results is made with the earlier work. The effect of Dray parameter is to increase the fluid velocity in the channel.

In this analysis the impact of the thickness of the permeable material on the parallel plate channel stream of Ree- Eyring liquid when the walls are furnished with non-erodible permeable lining is contemplated. The governing partial momentum equation is changed to ordinary differential equation by utilizing non-dimensional quantities and comprehended it analytically. The effects of governing parameters on the liquid velocity are appeared in graphically.We researched the stream in the free stream area and permeable stream districts by utilizing Darcy law and Ree-Eyring liquid model respectively.