Flow and heat transfer of couple stress fluid in a porous channel with expanding and contracting walls

Author(s):  
D. Srinivasacharya ◽  
N. Srinivasacharyulu ◽  
O. Odelu
2005 ◽  
Vol 83 (7) ◽  
pp. 705-720 ◽  
Author(s):  
J C Umavathi ◽  
A J Chamkha ◽  
M H Manjula ◽  
A Al-Mudhaf

The problem of steady laminar fully developed flow and heat transfer in a horizontal channel consisting of a couple-stress fluid sandwiched between two clear viscous fluids is analyzed analytically. The fluids in all regions are assumed to be incompressible, immiscible, and the transport properties of the fluids in all regions are assumed to be constant. Under these assumptions, the resulting governing equations constitute a set of coupled linear ordinary differential equations that is solved analytically. The closed form solutions obtained for the velocity and temperature fields in the channel are evaluated numerically for various parametric conditions. These results are illustrated graphically to illustrate the effects of the physical parameters governing the flow such as the viscosity ratio, conductivity ratio, couple-stress parameter, Eckert number, and the Prandtl number on the velocity and temperature profiles. In addition, results for the rate of heat transfer are computed for different values of the physical parameters and presented in tabular form. It is found that the effect of the couple stress parameter is to promote the motion of the fluid.PACS Nos.: 44.15.+a


2016 ◽  
Vol 24 (1) ◽  
pp. 125-129 ◽  
Author(s):  
Najeeb Alam Khan ◽  
Hassam Khan ◽  
Syed Anwar Ali

2017 ◽  
Vol 22 (2) ◽  
pp. 403-414 ◽  
Author(s):  
G.C. Sankad ◽  
P.S. Nagathan

AbstractAn attempt has been made to examine the effects of magnetohydrodynamic couple stress fluid in peristaltic flow with porous medium under the impact of slip, heat transfer and wall properties. The expressions are obtained for temperature, coefficient of heat transfer and velocity. Influences of different parameters, the Hartmann number, Brinkman number and adaptability parameters on the temperature and warmth trade coefficient are discussed through outlines.


2018 ◽  
Vol 41 (4) ◽  
pp. 449-467 ◽  
Author(s):  
Shirley Abelman ◽  
Amir Basiri Parsa ◽  
Habib-Olah Sayehvand

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