Semi analytical solution of MHD asymmetric flow between two porous disks
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@Article{JICS-15-003,
author = {Vishwanath B. Awati and Manjunath Jyoti},
title = {Semi analytical solution of MHD asymmetric flow between two porous disks},
journal = {Journal of Information and Computing Science},
year = {2024},
volume = {15},
number = {1},
pages = {003--015},
abstract = { 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 uniform transverse magnetic field. The governing nonlinear momentum equations in cylindrical co-
ordinates together with relevant boundary conditions are reduced to nonlinear ordinary differential equation
(NODE) using similarity transformations. The resulting NODE is solved by Computer Extended Series
Solution (CESS) and Homotopy Analysis Method (HAM). The analytical solutions are explicitly expressed
by recurrence relation for determining the universal coefficients. The nearest singularity is obtained at
R=4.2981 with help of Domb-Sykes plot which restricts the convergence of the series, using Euler
transformation the singularity is mapped to infinity. The obtained solutions are valid for all values of the
Reynolds number, magnetic parameter and permeability parameter are presented through graphs and tabular
forms to discuss the important features of the flow. The resulting solutions are compared with the 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.
},
issn = {1746-7659},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jics/22392.html}
}
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 - 2024
DA - 2024/01
SN - 15
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22392.html
KW - MHD
KW - asymmetric flow
KW - CESS
KW - Domb-Sykes plot
KW - Euler transformation
KW - HAM and Pade'
approximants.1
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 uniform transverse magnetic field. The governing nonlinear momentum equations in cylindrical co-
ordinates together with relevant boundary conditions are reduced to nonlinear ordinary differential equation
(NODE) using similarity transformations. The resulting NODE is solved by Computer Extended Series
Solution (CESS) and Homotopy Analysis Method (HAM). The analytical solutions are explicitly expressed
by recurrence relation for determining the universal coefficients. The nearest singularity is obtained at
R=4.2981 with help of Domb-Sykes plot which restricts the convergence of the series, using Euler
transformation the singularity is mapped to infinity. The obtained solutions are valid for all values of the
Reynolds number, magnetic parameter and permeability parameter are presented through graphs and tabular
forms to discuss the important features of the flow. The resulting solutions are compared with the 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.
Vishwanath B. Awati and Manjunath Jyoti. (2024). Semi analytical solution of MHD asymmetric flow between two porous disks.
Journal of Information and Computing Science. 15 (1).
003-015.
doi:
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