TY - JOUR
T1 - Semi analytical solution of MHD asymmetric flow between two porous disks
AU - Vishwanath B. Awati and Manjunath Jyoti
JO - Journal of Information and Computing Science
VL - 1
SP - 003
EP - 015
PY - 2020
DA - 2020/01
SN - 15
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22392.html
KW - 
AB -  In this paper, we study MHD asymmetric steady incompressible viscous flow of an electrically 
conducting fluid between two large stationary coaxial porous disks of different permeability in the presence 
of &nbsp;uniform &nbsp;transverse &nbsp;magnetic &nbsp;field. &nbsp;The &nbsp;governing &nbsp;nonlinear &nbsp;momentum &nbsp;equations &nbsp;in &nbsp;cylindrical &nbsp;co-
ordinates together with relevant boundary conditions are reduced to nonlinear ordinary differential equation 
(NODE) &nbsp;using &nbsp;similarity &nbsp;transformations. &nbsp;The &nbsp;resulting &nbsp;NODE &nbsp;is &nbsp;solved &nbsp;by &nbsp;Computer &nbsp;Extended &nbsp;Series 
Solution (CESS) and Homotopy Analysis Method (HAM). The analytical solutions are explicitly expressed 
by &nbsp;recurrence &nbsp;relation &nbsp;for &nbsp;determining &nbsp;the &nbsp;universal &nbsp;coefficients. &nbsp;The &nbsp;nearest &nbsp;singularity &nbsp;is &nbsp;obtained &nbsp;at 
R=4.2981 &nbsp;with &nbsp;help &nbsp;of &nbsp;Domb-Sykes &nbsp;plot &nbsp;which &nbsp;restricts &nbsp;the &nbsp;convergence &nbsp;of &nbsp;the &nbsp;series, &nbsp;using &nbsp;Euler 
transformation &nbsp;the &nbsp;singularity &nbsp;is &nbsp;mapped &nbsp;to &nbsp;infinity. &nbsp;The &nbsp;obtained &nbsp;solutions &nbsp;are &nbsp;valid &nbsp;for &nbsp;all &nbsp;values &nbsp;of &nbsp;the 
Reynolds number, magnetic parameter and permeability parameter are presented through graphs and tabular 
forms &nbsp;to &nbsp;discuss &nbsp;the &nbsp;important &nbsp;features &nbsp;of &nbsp;the &nbsp;flow. &nbsp;The &nbsp;resulting &nbsp;solutions &nbsp;are &nbsp;compared &nbsp;with &nbsp;the &nbsp;earlier 
literatures which are found to be in good agreement. Further, the region of validity of the series is extended 
for much larger values of R up to infinity by Pade’ approximants. &nbsp;