ANALYSIS OF CASSON FLUID FLOW BETWEEN TWO POROUS DISKS WITH STRETCHING MOTION AND MASS TRANSPIRATION

In the present study, a semi-analytical solution is obtained for the Casson fluid flow between two porous stretchable disks with mass transpiration. The governing equations are reduced to a non-linear ordinary differential equation using suitable similarity transformations. The solution is obtained using a semi-analytical technique (Homotopy Perturbation Method). The effects of Reynolds number (R), Casson parameter (γ), and mass transpiration (λ) for the flow problems are investigated in detail. The radial and vertical velocity profiles were found for moderately large Reynolds numbers. It is observed that the increase in the values of the Casson parameter suppresses the velocity field. As the Reynolds number increases, a boundary layer behaviour is observed near the wall with constant velocity core flow in the centreline region between two disks for mass suction or lower mass injection. The effects of mass transpiration on the flow are quite different and interesting. The present scheme developed admits a remarkable accuracy and has an analytical structure solution, which helps to compute various physical quantities. The results are obtained through an efficient algorithm for HPM using MATHEMATICA. The results are shown in the form of graphs and tables.