Three dimensional couette flow and heat transfer through a porous medium with variable permeability

2003 ◽  
Vol 4 (2) ◽  
pp. 181-185 ◽  
Author(s):  
R. C. Chaudhary ◽  
Pawan Kumar Sharma
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Couette Flow ◽  
Three Dimensional ◽  
Variable Permeability ◽  
Flow And Heat Transfer

scholarly journals Effect of constant suction and injection on MHD three dimensional couette flow and heat transfer through a porous medium

2010 ◽  
Vol 6 (1) ◽  
pp. 41-51 ◽  
Author(s):  
S. S. Das
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Nusselt Number ◽  
Temperature Field ◽  
Skin Friction ◽  
Couette Flow ◽  
Three Dimensional ◽  
Injection Parameter ◽  
Constant Suction ◽  
Permeability Parameter

The objective of this paper is to analyzethe effect of constant suction and sinusoidal injection on three dimensional couette flow of a viscous incompressible electrically conducting fluid through a porous medium between two infinite horizontal parallel porous flat plates in presence of a transverse magnetic field. The stationary plate and the plate in uniform motion are, respectively, subjected to a transverse sinusoidal injection and uniform suction of the fluid .The flow becomes three dimensional due to this type of injection velocity distribution. The governing equations of the flow field are solved by using series expansion method and the expressions for the velocity field, the temperature field, skin friction and the rate of heat transfer in terms of Nusselt number are obtained. The effects of the flow parameters on the velocity field, temperature field, skin friction and the Nusselt number have been studied and analyzed with the help of figures and tables. It is observed that a growing magnetic parameter (M) retards the main velocity (u) and accelerates the cross flow velocity (w1) of the flow field and a growing permeability parameter (Kp) or suction / injection parameter (Re) reverses the effect. Both Prandtl number (Pr) and the suction / injection parameter have retarding effect on the temperature field. Further, a growing suction / injection parameter diminishes both the components of skin friction at the wall while the permeability parameter enhances the x-component and reduces the z-component of the skin friction at the wall. The effect of increasing permeability parameter is to enhance the magnitude of rate of heat transfer at the wall while a growing Prandtl number (Pr) reverses the effect.Keywords: MHD; couette flow; heat transfer; suction; sinusoidal injection; porous mediumDOI: 10.3329/jname.v5i2.2570Journal of Naval Architecture and Marine Engineering 6(1)(2009) 41-51 

scholarly journals Heat transfer effects in a Couette flow through a composite channel partly filled by a porous medium with a transverse sinusoidal injection velocity and heat source

2011 ◽  
Vol 15 (suppl. 2) ◽  
pp. 175-186 ◽  
Author(s):  
Singh Chauhan ◽  
Vikas Kumar
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Heat Source ◽  
Couette Flow ◽  
Three Dimensional ◽  
Injection Velocity ◽  
Transfer Effects ◽  
Composite Channel ◽  
Flow Through ◽  
Heat Transfer Effects

This study theoretically analyzes the heat transfer effects in a three dimensional Couette flow through a composite parallel porous plate channel partly filled by a porous medium. The flow is three dimensional in the channel because of the application of a transverse sinusoidal injection velocity of a particular form at the lower stationary plate. The governing equations are solved using a perturbation series expansion method. The effects of various flow parameters such as, Prandtl number (Pr), suction/injection parameter (?), permeability of the porous medium (K), heat source parameter (S), and viscosity ratio parameter (?1), are investigated on temperature distribution in the composite channel and rate of heat transfer at the upper moving plate and at the fluid-porous medium interface, and discussed graphically.

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