Analysis of MHD squeezing fluid flow in a porous medium with slip and no slip boundaries

Abstract

Analytic solutions and behavior of squeezing flow of Newtonian fluid under the influence of magnetic field in porous medium channel squeezed between two infinite parallel plates are studied. Slip and no-slip effects at the boundariesaretakenintoaccount. VariousanalytictechniqueslikeOptimalHomotopy Asymptotic Method (OHAM), Daftardar Jaffari Method (DJM), Homotopy Perturbation Method (HPM) and Homotopy Analysis Method (HAM) are used to derive velocity profile of fluid flow. Using the idea of residual and absolute residual, efficiency of each scheme is established. Comparative studyoftheseschemesshowsthatHAMisconsistentthroughoutthedomain under consideration. The effect of various parameters on fluid flow, like Reynolds and Hartmann numbers, imposed magnetic effect inside the fluid, electrical conductivity, slip parameter, distance between the plates and velocity of the plates, is also studied in this thesis. It is observed that by decreasing Hartmann and Reynolds numbers together, the velocity of fluid decreases for fixed value of slip parameter γ. By increasing Reynold and Hartmann numbers and decreasing the slip paramenter γ, velocity of fluid decreases. In the absence of slip parameter, velocity of fluid decreases with the increase of m, R and the distance between plates L. The influence of imposed magnetic field Bo and electric conductivityσ are inversely proportional to velocity of fluid.