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

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

• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 201 KB
• Volume: 53
• Category: Article
• ISSN: 0017-9310
• DOI: 10.1016/j.ijheatmasstransfer.2010.02.042

✦ Synopsis

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 .