The Cheng-Minkowycz problem for cellular porous materials: Effect of temperature-dependent conductivity arising from radiative transfer

被引：18

作者：

Kuznetsov, A. V. ^{[1
]}

Nield, D. A. ^{[2
]}

机构：

[1] N Carolina State Univ, Dept Mech & Aerosp Engn, Raleigh, NC 27695 USA

[2] Univ Auckland, Dept Engn Sci, Auckland 1142, New Zealand

来源：

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | 2010年 / 53卷 / 13-14期

关键词：

Cheng-Minkowycz problem; Cellular porous medium; Radiative heat transfer; Temperature-dependent conductivity; Boundary layer;

D O I：

10.1016/j.ijheatmasstransfer.2010.02.042

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

The Cheng-Minkowycz problem involving natural convection boundary layer flow adjacent to a vertical wall in a saturated cellular porous medium subject to Darcy's law is investigated. The problem is formulated as a combined conductive-convective-radiative problem in which radiative heat transfer is treated as a diffusion process. The problem is relevant to cellular foams formed from plastics, ceramics, and metals. The situation in which radiative conductivity is modeled utilizing the Stefan-Boltzmann law is investigated. If the temperature variation parameter, T(r), is equal to zero, the classical Cheng-Minkowycz solution is recovered. For a non-zero value of T(r) the results show that the reduced Rayleigh number is a decreasing function of T(r). (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：2676 / 2679

页数：4

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