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

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.

2010 ◽  
Vol 2010 ◽  
pp. 1-14 ◽  
Author(s):  
Kai-Long Hsiao

A magnetic hydrodynamic (MHD) of an incompressible viscoelastic fluid over a stretching sheet with electric and magnetic dissipation and nonuniform heat source/sink has been studied. The buoyant effect and the electric numberE1couple with magnetic parameterMto represent the dominance of the electric and magnetic effects, and adding the specific item of nonuniform heat source/sink is presented in governing equations which are the main contribution of this study. The similarity transformation, the finite-difference method, Newton method, and Gauss elimination method have been used to analyze the present problem. The numerical solutions of the flow velocity distributions, temperature profiles, and the important wall unknown values off''(0)andθ'(0)have been carried out. The parameter Pr,E1, orEccan increase the heat transfer effects, but the parameterMorA*may decrease the heat transfer effects.


2012 ◽  
Vol 2012 ◽  
pp. 1-23 ◽  
Author(s):  
E. Abo-Eldahab ◽  
E. Barakat ◽  
Kh. Nowar

The influences of Hall currents and heat transfer on peristaltic transport of a Newtonian fluid in a vertical asymmetric channel through a porous medium are investigated theoretically and graphically under assumptions of low Reynolds number and long wavelength. The flow is investigated in a wave frame of reference moving with the velocity of the wave. Analytical solutions have been obtained for temperature, axial velocity, stream function, pressure gradient, and shear stresses. The trapping phenomenon is discussed. Graphical results are sketched for various embedded parameters and interpreted.


1993 ◽  
Vol 132 (1-2) ◽  
pp. 261-279 ◽  
Author(s):  
Simon Brandon ◽  
Jeffrey J. Derby ◽  
L.Jeffrey Atherton ◽  
David H. Roberts ◽  
Russel L. Vital

2010 ◽  
Vol 6 (1) ◽  
pp. 41-51 ◽  
Author(s):  
S. S. Das

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 


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