Solutions for axial and transverse boundary layers in the case of steady laminar flow past a horizontal plate embedded in a saturated porous medium

1986 ◽  
Vol 20 (2) ◽  
pp. 105-110 ◽  
Author(s):  
B. C. Chandrasekhara
Keyword(s):  
Porous Medium ◽  
Laminar Flow ◽  
Boundary Layers ◽  
Saturated Porous Medium ◽  
Horizontal Plate ◽  
Flow Past ◽  
Steady Laminar ◽  
Transverse Boundary

Mixed Convective Heat Transfer From a Heated Horizontal Plate in a Porous Medium Near an Impermeable Surface

1988 ◽  
Vol 110 (2) ◽  
pp. 390-394 ◽  
Author(s):  
P. H. Oosthuizen
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Heat Transfer Rate ◽  
Transfer Rate ◽  
Saturated Porous Medium ◽  
Forced Flow ◽  
Horizontal Plate ◽  
Flowing Fluid ◽  
Buoyancy Forces ◽  
Two Dimensional Flow

Two-dimensional flow over a horizontal plate in a saturated porous medium mounted near an impervious adiabatic horizontal surface and subjected to a horizontal forced flow has been numerically investigated. The plate is heated to a uniform temperature that is higher than the temperature of the flowing fluid. The conditions considered are such that the buoyancy forces have an effect on the flow and, therefore, on the heat transfer rate from the plate. The full governing equations, written in dimensionless form, have been solved for a range of values of the governing parameters using the finite element method. The heat transfer rate from the plate is influenced both by the dimensionless depth of the plate below the surface and the importance of the buoyancy forces, the latter having been characterized by a parameter which is equal to the ratio of the Darcy–Rayleigh number to Peclet number. The conditions under which these parameters have a negligible effect on the heat transfer rate are discussed.

Fully Developed Couette Flow of Three Fluids With Variable Thermophysical Properties Flowing Through a Porous Medium Channel Heated Asymmetrically With Large Temperature Differences

2006 ◽  
Vol 129 (12) ◽  
pp. 1742-1747 ◽  
Author(s):  
Asterios Pantokratoras
Keyword(s):  
Porous Medium ◽  
Saturated Porous Medium ◽  
Engine Oil ◽  
Large Temperature ◽  
Parallel Plates ◽  
Moving Plate ◽  
Direct Numerical Solution ◽  
Oil Water ◽  
Fluid Saturated Porous Medium ◽  
Steady Laminar

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.

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