VARIATION OF PARAMETERS METHOD FOR MICRO-POLAR FLUID THROUGH A CBM POROUS MEDIA

Gao Dapeng, Guo Zhidong, Wang Tianjiao, Liu Yuewu, Hou Shaoji

ABSTRACT:In this article, we adopt the variation of parameters method (VPM) to get the approximate solution of micro-polar fluid through a porous channel which is a rectangular domain with infinite length and bounded by two moving porous walls. To investigate characteristic parameter Reynolds number, the non-dimensional wall expansion rate how to influence of the stream wise velocity and micro-rotation. An approximate analytical solution can be obtained by VPM that the solution may be for some parameter values, which results are effortless to calculate. The proposed method is different from any discretization, transformation and restrictive assumptions, which is supported by numerical results and show excellent agreement. It illustrates VPM is a powerful computational mathematics development tool by which finding the approximate analytical solutions for a system of nonlinear differential equation.

Keywords:Micro-polar fluid, Approximate analytical methods, VPM, Porous channel.