Study the Effect the Slip Boundary on q-Homotopy Analysis for Unsteady Magneto Hydrodynamics Squeezing Flow Problem

Résumé

In this paper, the compressibility of the plates which makes the flow in a state of creation with presence porosity parameter and magneto hydrodynamics parameter for squeezing flow between two plates is analyzed. Similarity variables are an important factor in converting  the modeling of partial differential equation into ordinary differential equation for various flow parameters. The improvement of analytical solutions under consideration  by hybridizing the method of q-homotopy analysis by Laplace transform(q-LTHAM) and Padé Approximate(q-PAHAM). The results obtained from these hybridizations demonstrate the efficiency  of this method with the imposed transform and approximate by obtaining better accuracy when compared with the scheme of Bvp4c. Finally, by representing solutions graphically shows  that these solutions of slip condition at boundaries  are opposite phenomenon  no slip condition.