Abstract
In this paper, the fully developed natural convection of MHD micropolar fluid flow between two vertical porous plates is considered. The coupled system of non-linear differential equations governing the flow is solved analytically by the homotopy analysis method (HAM). The HAM contains an auxiliary parameter h, which provides us with a simple way to adjust and control the convergence region and rate of convergence of the series solution. Velocity, microrotation and temperature profiles are presented for several values of the Hartmann number and the micropolar parameter.
| Original language | English |
|---|---|
| Pages (from-to) | 817-827 |
| Number of pages | 11 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 78 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 14 May 2009 |
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Keywords
- Homotopy analysis method
- Magnetohydrodynamics
- Micropolar
- Porous
ASJC Scopus subject areas
- Engineering(all)
- Applied Mathematics
- Numerical Analysis
Cite this
Homotopy analysis method for fully developed MHD micropolar fluid flow between vertical porous plates. / Abdulaziz, O.; Noor, N. F M; Hashim, Ishak.
In: International Journal for Numerical Methods in Engineering, Vol. 78, No. 7, 14.05.2009, p. 817-827.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Homotopy analysis method for fully developed MHD micropolar fluid flow between vertical porous plates
AU - Abdulaziz, O.
AU - Noor, N. F M
AU - Hashim, Ishak
PY - 2009/5/14
Y1 - 2009/5/14
N2 - In this paper, the fully developed natural convection of MHD micropolar fluid flow between two vertical porous plates is considered. The coupled system of non-linear differential equations governing the flow is solved analytically by the homotopy analysis method (HAM). The HAM contains an auxiliary parameter h, which provides us with a simple way to adjust and control the convergence region and rate of convergence of the series solution. Velocity, microrotation and temperature profiles are presented for several values of the Hartmann number and the micropolar parameter.
AB - In this paper, the fully developed natural convection of MHD micropolar fluid flow between two vertical porous plates is considered. The coupled system of non-linear differential equations governing the flow is solved analytically by the homotopy analysis method (HAM). The HAM contains an auxiliary parameter h, which provides us with a simple way to adjust and control the convergence region and rate of convergence of the series solution. Velocity, microrotation and temperature profiles are presented for several values of the Hartmann number and the micropolar parameter.
KW - Homotopy analysis method
KW - Magnetohydrodynamics
KW - Micropolar
KW - Porous
UR - http://www.scopus.com/inward/record.url?scp=65449155983&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=65449155983&partnerID=8YFLogxK
U2 - 10.1002/nme.2509
DO - 10.1002/nme.2509
M3 - Article
AN - SCOPUS:65449155983
VL - 78
SP - 817
EP - 827
JO - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
SN - 0029-5981
IS - 7
ER -