Homotopy analysis method for fully developed MHD micropolar fluid flow between vertical porous plates

2009 ◽  
Vol 78 (7) ◽  
pp. 817-827 ◽  
Author(s):  
O. Abdulaziz ◽  
N. F. M. Noor ◽  
I. Hashim
Keyword(s):  
Fluid Flow ◽  
Homotopy Analysis Method ◽  
Micropolar Fluid ◽  
Analysis Method ◽  
Micropolar Fluid Flow ◽  
Homotopy Analysis

Flow of Magnetohydrodynamic Micropolar Fluid Induced by Radially Stretching Sheets

2011 ◽  
Vol 66 (1-2) ◽  
pp. 53-60 ◽  
Author(s):  
Tasawar Hayat ◽  
Muhammad Nawaz ◽  
Awatif A. Hendi
Keyword(s):  
Reynolds Number ◽  
Shear Stress ◽  
Skin Friction ◽  
Nonlinear Problem ◽  
Homotopy Analysis Method ◽  
Micropolar Fluid ◽  
Analysis Method ◽  
Fluid Parameter ◽  
Homotopy Analysis ◽  
Radial Stretching

We investigate the flow of a micropolar fluid between radial stretching sheets. The magnetohydrodynamic (MHD) nonlinear problem is treated using the homotopy analysis method (HAM) and the velocity profiles are predicted for the pertinent parameters. The values of skin friction and couple shear stress coefficients are obtained for various values of Reynolds number, Hartman number, and micropolar fluid parameter.

The flow of a micropolar fluid through a porous channel with expanding or contracting walls

Open Physics ◽  
2011 ◽  
Vol 9 (3) ◽  
Author(s):  
Xinhui Si ◽  
Liancun Zheng ◽  
Xinxin Zhang ◽  
Ying Chao
Keyword(s):  
Dynamic Characteristics ◽  
Homotopy Analysis Method ◽  
Micropolar Fluid ◽  
Expansion Ratio ◽  
Velocity Fields ◽  
Porous Channel ◽  
Analysis Method ◽  
Governing Equations ◽  
Homotopy Analysis ◽  
Expanding Or Contracting Walls

AbstractThe flow of a micropolar fluid in a porous channel with expanding or contracting walls is investigated. The governing equations are reduced to ordinary ones by using similar transformations. Homotopy analysis method (HAM) is employed to obtain the expressions for the velocity fields and microrotation fields. Graphs are sketched for the effects of some values of parameters, especially the expansion ratio, on the velocity and microrotation fields and associated dynamic characteristics are analyzed in detail.

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