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

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.

2005 ◽  
Vol 128 (4) ◽  
pp. 405-408 ◽  
Author(s):  
Asterios Pantokratoras

The steady laminar fully developed flow between two isothermal parallel plates is studied in this paper. The investigation concerns air, engine oil, and water taking into account the variation of all physical properties (μ, k, and ρ) with temperature. The results are obtained with the direct numerical solution of the governing equations and cover large temperature differences not treated until now. The largest differences of volume flow rate and vertical heat flux from the corresponding constant properties values reach 1568% and 2120% in air, 139% and 247% in oil, and 62% and 55% in water.


1996 ◽  
Vol 322 ◽  
pp. 201-214 ◽  
Author(s):  
D. A. Nield ◽  
S. L. M. Junqueira ◽  
J. L. Lage

We present a fresh theoretical analysis of fully developed forced convection in a fluid-saturated porous-medium channel bounded by parallel plates, with imposed uniform heat flux or isothermal condition at the plates. As a preliminary step, we obtain an ‘exact’ solution of the Brinkman-Forchheimer extension of Darcy's momentum equation for flow in the channel. This uniformly valid solution permits a unified treatment of forced convection heat transfer, provides the means for a deeper explanation of the physical phenomena, and also leads to results which are valid for highly porous materials of current practical importance.


Author(s):  
Irina Markova ◽  
Mikhail Markov ◽  
Jetzabeth Ramírez Sabag ◽  
Gerardo Ronquillo Jarillo

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