Effect of Crossflow on Oscillatory Flow in a Porous Medium Between Two Parallel Plates in Relative Motion

1991 ◽  
Vol 113 (1) ◽  
pp. 151-154
Author(s):  
V. Kumaran ◽  
G. Ramanaiah

This paper deals with the incompressible flow through a porous medium bounded by two parallel permeable plates, one of which is stationary and the other slides and oscillates in its own plane. Also uniform crossflow is superimposed through the plates. Analytical solutions for flow parameters are obtained. The effect of crossflow, permeability, and the frequency of the moving plate on the velocity, skin friction has been investigated. It is shown that skin friction can be reduced considerably by injection at the lower plate.

1992 ◽  
Vol 114 (3) ◽  
pp. 675-680
Author(s):  
T. Banerjee ◽  
C. Chang ◽  
W. Wu ◽  
U. Narusawa

A steady throughflow in a porous medium is studied in the presence of a solidified layer due to cooling of the walls. Under the assumption of a moderately sloped melt-solid interface, analytical solutions are obtained for both a flow between parallel plates and a circular pipe. Differences and similarities are examined between the Darcian and the Brinkman porous media, as well as the effects of various parameters, such as the Peclet number, the ratio of diffusivities in the longitudinal and the lateral directions, and a parameter indicating the degree of wall cooling and flow heating, on thermofluid structure of a flow in porous media accompanied by solidification.


2006 ◽  
Vol 129 (12) ◽  
pp. 1742-1747 ◽  
Author(s):  
Asterios Pantokratoras

In this paper, we study the steady laminar flow in a fluid-saturated porous medium channel bounded by two parallel plates with constant but unequal temperatures. One plate is moving with constant velocity while the other is stationary. For the porous medium, the Brinkman–Darcy–Forchheimer model is used. The investigation concerns engine oil, water, and air, taking into account the variation of their physical properties with temperature. The results are obtained with the direct numerical solution of the governing equations and cover large temperature differences. It is found that dynamic viscosity plays an important role on the results, which depart significantly from those of a fluid with constant properties when the temperature difference between the plates is large. Except that there are cases where the flow is restricted near the moving plate while at the lower part of the channel, the fluid is motionless.


2003 ◽  
Vol 81 (5) ◽  
pp. 789-795 ◽  
Author(s):  
H A Attia

In this paper, the unsteady flow of a dusty viscous incompressible electrically conducting non-Newtonian power-law fluid through a circular pipe is investigated. A constant pressure gradient in the axial direction and a uniform magnetic field directed perpendicular to the flow direction are applied. The particle phase is assumed to behave as a viscous fluid. A numerical solution is obtained for the governing nonlinear momentum equations using finite differences. The effects of the magnetic-field parameter Ha, the non-Newtonian fluid characteristics (the flow index n), and the particle-phase viscosity β on the transient behavior of the velocity, volumetric flow rates, and skin friction coefficients of both fluid and particle phases are studied. It is found that all the flow parameters for both phases decrease as the magnetic field increases or the flow index decreases. On the other hand, increasing the particle-phase viscosity increases the skin friction of the particle phase, but decreases the other flow parameters. PACS No.: 47.50.+d


1991 ◽  
Vol 180 (2) ◽  
pp. 287-292 ◽  
Author(s):  
A. Gholizadeh

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