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Forced convection in cellular porous materials: Effect of temperature-dependent conductivity arising from radiative transfer

✍ Scribed by D.A. Nield; A.V. Kuznetsov


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
307 KB
Volume
53
Category
Article
ISSN
0017-9310

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✦ Synopsis


Forced convection in a channel occupied by a saturated cellular porous medium 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. Special cases in which radiative conductivity is modeled as a power function of temperature as well as the Stefan-Boltzmann case are investigated. Analytical and numerical solutions are obtained; Darcy and clear fluid limits are also studied.


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The Cheng–Minkowycz problem for cellular
✍ A.V. Kuznetsov; D.A. Nield 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 201 KB

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 t