Natural convection in a confined fluid overlying a porous layer - a comparison study of different models
type: Item
instance of: scholarly article
title: Natural convection in a confined fluid overlying a porous layer - a comparison study of different models
zbMATH Open document ID: 0817.76083
author: G. R. Thorpe
author: Ashok K. Singh
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1995-04-04T00:00:00Z
review text: This paper discribes a comparative study of the Darcy, Brinkman-extended Darcy and Brinkman-Forchheimer-extended Darcy models of free convection in a cavity containing a fluid layer overlying a porous layer saturated with the same fluid. The two-dimensional enclosure is heated on one vertical side and cooled on the opposite side, whilst the top and bottom sides are adiabatic. By solving the equations governing the system by an ADI method it was found that all three models yield very similar results for Darcy numbers up to about \(10^{-4}\). At higher Darcy numbers the Brinkman-Forchheimer-extended Darcy model is preferred as it accounts for the effects of inertia.
Mathematics Subject Classification ID: 76R10
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 740387
zbMATH Keywords: Brinkman-extended Darcy model
zbMATH Keywords: Darcy model
zbMATH Keywords: ADI method
zbMATH Keywords: Brinkman- Forchheimer-extended Darcy model
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 740387