Steady flow of a viscous fluid through a saturated porous medium of a finite thickness, the bottom of which is impermeable and thermally insulated while the other side is stress free, kept at a constant temperature

2014 ◽  
Vol 10 (3) ◽  
pp. 22-31
Author(s):  
Danish Nadim ◽  
Keyword(s):  
Porous Medium ◽  
Viscous Fluid ◽  
Steady Flow ◽  
Constant Temperature ◽  
Saturated Porous Medium ◽  
Finite Thickness ◽  
The Other

scholarly journals Steady Flow over a Rotating Disk in Porous Medium with Heat Transfer

2009 ◽  
Vol 14 (1) ◽  
pp. 21-26 ◽  
Author(s):  
H. A. Attia
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Energy Transfer ◽  
Viscous Fluid ◽  
Steady Flow ◽  
Numerical Solutions ◽  
Rotating Disk ◽  
Incompressible Viscous Fluid ◽  
Governing Equations ◽  
Temperature Distributions

The steady flow of an incompressible viscous fluid above an infinite rotating disk in a porous medium is studied with heat transfer. Numerical solutions of the nonlinear governing equations which govern the hydrodynamics and energy transfer are obtained. The effect of the porosity of the medium on the velocity and temperature distributions is considered.

THE FLOW OF HEAT THROUGH PLATES

1932 ◽  
Vol 6 (6) ◽  
pp. 577-583 ◽  
Author(s):  
R. Ruedy
Keyword(s):  
Steady State ◽  
Steady Flow ◽  
Finite Thickness ◽  
Theta Functions ◽  
Boundary Plane ◽  
Constant Level ◽  
The Other ◽  
Half Cycle ◽  
Uniform Temperature ◽  
Higher Temperature

The speed is calculated with which the steady flow of heat is established in a slab of uniform temperature after one boundary plane has been suddenly brought to a higher temperature, or when the temperature of both planes is changed. In both cases the flow of heat may be expressed by means of simple theta functions, and the law of approach to the steady state may be used for determining the diffusivity of the material. When one boundary plane undergoes sinusoidal variations in temperature while the other is maintained at a constant level, a finite thickness is found for which, in the steady state, the heat flowing in or out during one half-cycle reaches its highest value.

Analysis of Linear Encroachment in Two-Immiscible Fluid Systems in a Porous Medium

1994 ◽  
Vol 116 (1) ◽  
pp. 135-139 ◽  
Author(s):  
Vijayaraghavan Srinivasan ◽  
Kambiz Vafai
Keyword(s):  
Porous Medium ◽  
Theoretical Study ◽  
Saturated Porous Medium ◽  
Immiscible Fluids ◽  
The Other ◽  
Immiscible Fluid ◽  
Fluid System ◽  
Inertia Effects ◽  
Fluid Systems ◽  
First Time

The flow of two immiscible fluids in a porous medium was analyzed accounting for boundary and inertia effects. This problem was first solved by Muskat using Darcy’s equation for fluid flow in a saturated porous medium. In the present analysis the boundary and inertia effects have been included to predict the movement of the interfacial front that is formed as one fluid displaces the other. In the present work a theoretical study that accounts for the boundary and inertia effects in predicting the movement of the interface for linear encroachment in two immiscible fluid system in a porous material is presented for the first time. The results of the present study when compared with the Muskat’s model show that consideration of the boundary and inertia effects becomes important for low values of mobility ratio (ε<1.0) and higher values of permeability (K>1.0 × 1.0−10 m2).

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