Numerical Solution to the MHD Flow of Micropolar Fluid Between Parallel Porous Plates

2008 ◽  
Vol 35 (4) ◽  
pp. 365-373 ◽  
Author(s):  
D. Srinivasacharya ◽  
Mekonnen Shiferaw
2014 ◽  
Vol 10 (4) ◽  
pp. 106-121 ◽  
Author(s):  
K. Surya Narayana Reddy ◽  
◽  
M. Sreedhar Babu ◽  
S. Vijaya Kumar Varma ◽  
N. Bhaskar Reddy

Author(s):  
S. C. Shiralashetti ◽  
M. H. Kantli ◽  
A. B. Deshi

Recently, wavelet theory has become a well recognized promising tool in science and engineering field; especially, wavelets are successfully used in fast algorithms for easy execution. In this paper, we developed wavelet lifting scheme using orthogonal and biorthogonal wavelets for the numerical solution of dynamic Reynolds equation for micropolar fluid lubrication. The numerical results gained through proposed scheme are compared with the exact solution to expose the accuracy with speed of convergence in lesser computational time as compared with the existing methods. The examples are given to demonstrate the applicability and attractiveness of proposed method.


2017 ◽  
Vol 2017 ◽  
pp. 1-20 ◽  
Author(s):  
Nadeem Ahmad Sheikh ◽  
Farhad Ali ◽  
Ilyas Khan ◽  
Muhammad Saqib ◽  
Arshad Khan

The present analysis represents the MHD flow of micropolar fluid past an oscillating infinite vertical plate embedded in porous media. At the plate, free convections are caused due to the differences in temperature and concentration. Therefore, the combined effect of radiative heat and mass transfer is taken into account. Partial differential equations are used in the mathematical formulation of a micropolar fluid. The system of dimensional governing equations is reduced to dimensionless form by means of dimensional analysis. The Laplace transform technique is applied to obtain the exact solutions for velocity, temperature, and concentration. In order to highlight the flow behavior, numerical computation and graphical illustration are carried out. Furthermore, the corresponding skin friction and wall couple stress are calculated.


2011 ◽  
Vol 8 (1) ◽  
pp. 25-36 ◽  
Author(s):  
Ali J. Chamkha ◽  
M. F. Al-Amin ◽  
Abdelraheem Aly

This work is focused on the numerical solution of unsteady double-diffusive free convective flow along a vertical isothermal cylinder in the presence of a transverse magnetic field, first-order homogeneous chemical reaction, thermal radiation and Soret and Dufour effects. The Rosseland approximation is used to describe the radiative heat flux in the energy equation. The governing equations are formulated and a numerical solution is obtained by using an explicit finite-difference scheme. The solutions at each time step have been found to reach the steady state solution properly. Representative results for the fluid velocity, temperature and solute concentration profiles as well as the local heat and mass transfer rates for various values of the physical parameters are displayed in both graphical and tabular forms. DOI: http://dx.doi.org/10.3329/jname.v8i1.7250


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