State space approach to unsteady free convection flow of micropolar fluid

2000 ◽  
Vol 140 (1-2) ◽  
pp. 41-56 ◽  
Author(s):  
K. A. Helmy
1999 ◽  
Vol 26 (2) ◽  
pp. 219-227 ◽  
Author(s):  
M. Abd El-Hakiem ◽  
A.A. Mohammadein ◽  
S.M.M. El-Kabeir ◽  
Rama Subba Reddy Gorla

2002 ◽  
Vol 80 (12) ◽  
pp. 1661-1673 ◽  
Author(s):  
K A Helmy ◽  
H F Idriss ◽  
S E Kassem

The present work is concerned with the unsteady flow of an incompressible, viscous, conducting micropolar fluid, through a porous medium, over an infinite plate that is started into motion in its own plane by an impulse. A uniform magnetic field acts in a direction perpendicular to the plate. The governing equations are solved using a state space approach and the inversion of the Laplace transform is carried out, using a numerical approach. The technique is applied to a heated-plate problem and to a problem pertaining to a plate under uniform heating. Numerical results concerning temperature (for both problems), velocity, and microrotation are given and are illustrated graphically. PACS Nos.: 47.00, 65.00, 47.50, 76.00


2016 ◽  
Vol 55 (3) ◽  
pp. 2967-2973 ◽  
Author(s):  
P.K. Rout ◽  
S.N. Sahoo ◽  
G.C. Dash ◽  
S.R. Mishra

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