Thermal Interaction between Two Forced-Convection Boundary Layers across a Conductive Solid Wall

2016 ◽  
Vol 45 (3) ◽  
pp. 299-312 ◽  
Author(s):  
Mohamed El-sayed Mosaad
2001 ◽  
Author(s):  
A. V. Kuznetsov

Abstract This paper presents a new analytical solution of a problem of forced convection in a heterogeneous channel filled with two different layers of isotropic porous media. The Brinkman-Forchheimer-extended Darcy equation is utilized to describe the fluid flow in the porous layers, and the effect of transverse thermal dispersion is accounted for in the energy equations. Three momentum boundary layers are identified in the channel: a boundary layer at the solid wall and two boundary layers at the interface between the porous media. The dependence of the Nusselt number on the Darcy numbers, Forchheimer coefficients, and particle Reynolds numbers in different parts of the channel is investigated. This study demonstrates that thermal dispersion has a strong effect on the Nusselt number in the channel for large particle Reynolds numbers.


1984 ◽  
Vol 106 (2) ◽  
pp. 284-289 ◽  
Author(s):  
K. Chen ◽  
M. M. Chen

Thermal instability of forced convection boundary layers with nonzero streamwise pressure gradient is examined for moderate to high Prandtl numbers. The analysis is carried out for the family of Falkner-Skan flows, here viewed as the lowest order local similarity approximation of general forced convection boundary layers. Calculated critical Rayleigh numbers and wave numbers are found to be independent of the streamwise pressure gradient in the limiting case of infinite Prandtl number, and only weakly dependent on the streamwise pressure gradient for finite Prandtl number cases when the conduction thickness is employed as the reference length scale.


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