Analysis of fluid flow and heat transfer over an unsteady stretching surface

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Abstract

This article considers two situations involving unsteady laminar boundary layer flow due to a stretching surface in a quiescent viscous incompressible fluid. In one configuration, the surface is impermeable with prescribed heat flux, in the other, the surface is permeable with prescribed temperature. The boundary value problems governing a similarity reduction for each of these situations are investigated and the existence of a solution is proved for all relevant values of physical parameters. The uniqueness of the solution is also proved for some (but not all) values of the parameters. Finally, a priori bounds are obtained for the skin friction coefficient and local Nusselt number.

Original languageEnglish (US)
Pages (from-to)4079-4089
Number of pages11
JournalNonlinear Analysis, Theory, Methods and Applications
Volume75
Issue number10
DOIs
StatePublished - Jun 1 2012

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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