Analysis of flow and heat transfer at the interface region of a porous medium
type: Item
instance of: scholarly article
title: Analysis of flow and heat transfer at the interface region of a porous medium
zbMATH Open document ID: 0628.76098
DOI: 10.1016/0017-9310(87)90171-2
author: R. Thiyagaraja
author: K. Vafai
published in: International Journal of Heat and Mass Transfer
publication date: 1987-01-01T00:00:00Z
review text: Fluid flow and heat transfer at the interface region are analyzed in depth for three general and fundamental classes of problems in porous media. These are the interface region between two different porous media, the interface region between a fluid region and a porous medium, and the interface region between an impermeable medium and a porous medium. These three types of interface zones constitute a complete investigation of the interface interactions in a saturated porous medium. Detailed analytical solutions, for both the velocity and temperature distributions are derived for all these interface conditions. The analytical temperature distributions are found in terms of confluent hypergeometric functions for two different regimes, which are found to cover almost the entire range of real fluids. The numerical and analytical results are found to be in excellent agreement. The numerical and analytical results are also checked against an empirically based hypothesis for one of the interface conditions, namely the interface between a fluid region and a porous medium, and are found to be in excellent agreement with that experimental hypothesis.
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76T99
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 4022931
zbMATH Keywords: heat transfer
zbMATH Keywords: interface region
zbMATH Keywords: saturated porous medium
zbMATH Keywords: temperature distributions
zbMATH Keywords: confluent hypergeometric functions
MaRDI profile type: Publication
full work available at URL: 0017-9310(87)90171-2
OpenAlex ID: W2047795940
description: scientific article; zbMATH DE number 4022931