Asymptotic solutions for nonlinear thermal convection in porous media
type: Item
instance of: scholarly article
title: Asymptotic solutions for nonlinear thermal convection in porous media
zbMATH Open document ID: 0555.76075
DOI: 10.1016/0017-9310(84)90150-9
author: B. Kochhar
author: B. C. Chandrasekhara
published in: International Journal of Heat and Mass Transfer
publication date: 1984-01-01T00:00:00Z
review text: Nonlinear thermal convection in a saturated porous medium is studied under different approximations. Asymptotic solutions for free boundaries are obtained for two limiting cases: Ra large, \(\sigma_ 1=O(1)\) and O(Ra) using the method of matched asymptotic expansions. The analytical approximation method is also used to study the convection problem over a wide range of Ra and \(\sigma_ 1\). The results of the analysis show that the heat transfer rate varies as \(Ra^{1/3}\) for a given \(\sigma_ 1\).
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76R10
zbMATH DE Number: 3885554
zbMATH Keywords: Nonlinear thermal convection
zbMATH Keywords: saturated porous medium
zbMATH Keywords: Asymptotic solutions for free boundaries
zbMATH Keywords: matched asymptotic expansions
zbMATH Keywords: analytical approximation method
zbMATH Keywords: heat transfer rate
MaRDI profile type: Publication
full work available at URL: 0017-9310(84)90150-9
OpenAlex ID: W2012840371
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description: scientific article; zbMATH DE number 3885554