TY - JOUR
T1 - Mixed convection heat transfer in porous media in the non‐darcy regime
AU - Islam, Rafiqul M.
AU - Nandakumar, K.
N1 - Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.
PY - 1988/2
Y1 - 1988/2
N2 - In this study mixed convection heat transfer in a homogeneous porous duct of square cross section in a horizontal orientation is examined. Results from a generalized Forchheimer model are compared with that from the Darcy model. The heat transfer rate and the flow behavior depend on the following parameters: Grashof number, Gr = Q'gβKa/kv2, an axial flow pressure drop parameter, ζ = (aK/vμ)dp'/dz', an inertial parameter ξ = mK/a, appearing in the Forccheimer model and the Prandtl number, Pr = Cpμ/k. In the Darcy limit, ξ → 0, the role of the axial flow parameter, λ is reduced to a mere scale factor and the flow behavior is determined by a single parameter, λ = Gr · Pr. Both the Darcy and the Forchheimer models exhibit dual solutions and a hysteresis behavior over a certain range of Gr. Such parametric dependence can be used as an additional tool along with carefully designed experiments to determine the importance of inertial and Prandtl number effects on convective heat transfer in porous media.
AB - In this study mixed convection heat transfer in a homogeneous porous duct of square cross section in a horizontal orientation is examined. Results from a generalized Forchheimer model are compared with that from the Darcy model. The heat transfer rate and the flow behavior depend on the following parameters: Grashof number, Gr = Q'gβKa/kv2, an axial flow pressure drop parameter, ζ = (aK/vμ)dp'/dz', an inertial parameter ξ = mK/a, appearing in the Forccheimer model and the Prandtl number, Pr = Cpμ/k. In the Darcy limit, ξ → 0, the role of the axial flow parameter, λ is reduced to a mere scale factor and the flow behavior is determined by a single parameter, λ = Gr · Pr. Both the Darcy and the Forchheimer models exhibit dual solutions and a hysteresis behavior over a certain range of Gr. Such parametric dependence can be used as an additional tool along with carefully designed experiments to determine the importance of inertial and Prandtl number effects on convective heat transfer in porous media.
KW - convective heat transfer
KW - mixed convection
KW - non‐Darcy flow
KW - porous media heat transfer
UR - http://www.scopus.com/inward/record.url?scp=0023960723&partnerID=8YFLogxK
U2 - 10.1002/cjce.5450660110
DO - 10.1002/cjce.5450660110
M3 - 文章
AN - SCOPUS:0023960723
VL - 66
SP - 68
EP - 74
JO - Canadian Journal of Chemical Engineering
JF - Canadian Journal of Chemical Engineering
SN - 0008-4034
IS - 1
ER -