Lie group analysis of unsteady flow and heat transfer over a porous surface for a viscous fluid
type: Item
instance of: scholarly article
title: Lie group analysis of unsteady flow and heat transfer over a porous surface for a viscous fluid
zbMATH Open document ID: 1264.76101
DOI: 10.1155/2012/675287
author: M. B. Akgül
author: G. Sari
author: Mehmet Pakdemirli
published in: Journal of Applied Mathematics
publication date: 2013-06-03T00:00:00Z
review text: Summary: The problem of a two-dimensional, unsteady flow and a heat transfer of a viscous fluid past a surface in the presence of variable suction/injection is analyzed. The unsteadiness is due to the time dependent free stream flow. The governing equations are derived with the usual boundary layer approximation. Using Lie group theory, a group classification of the equations with respect to the variable free stream flow and suction/injection velocity is performed. Restrictions imposed by the boundary conditions on the symmetries are discussed. Adopting the obtained symmetry groups, governing partial differential equations are converted into ordinary differential equations and then solved numerically. Effects of the dimensionless problem parameters on the velocity and temperature profiles are outlined in the figures.
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 6169955
Wikidata QID: Q58206619
describes a project that uses: bvp4c
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/675287
OpenAlex ID: W2116928635
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DBLP publication ID: journals/jam/AkgulSP12
description: scientific article; zbMATH DE number 6169955