A NEW TAU HOMOTOPY ANALYSIS METHOD FOR MHD SQUEEZING FLOW OF SECOND-GRADE FLUID BETWEEN TWO PARALLEL DISKS

摘要

In this paper a novel approach based on homotopy analysis method (HAM) is presented to investigate the unsteady two-dimensional flow of a second-grade fluid between parallel disks in the presence of an applied magnetic field. The continuity and momentum equations governing the unsteady two-dimensional flow of a second-grade fluid are reduced to a single differential equation via similarity transformations. In addition, by using Taylor operational matrices of derivative and products the problem converts to the algebraic equations to obtain the solution iteratively. The influence of various flow parameters for both suction and blowing cases is discussed. Additionally, the convergence of the obtained series solutions is explicitly studied and a proper discussion is given for the obtained results. The applicability, accuracy and efficiency of this new Tau modification of the HAM is demonstrated via the accomplished comparison.