Mixed convection boundary-layer on a vertical cylinder embedded in a saturated porous medium
type: Item
instance of: scholarly article
title: Mixed convection boundary-layer on a vertical cylinder embedded in a saturated porous medium
zbMATH Open document ID: 0608.76071
DOI: 10.1007/BF01184297
published in: Acta Mechanica
publication date: 1987-01-01T00:00:00Z
review text: The mixed convection boundary layer on a vertical circular cylinder embedded in a saturated porous medium is considered. It is found that the flow depends on the parameter \(\epsilon =R_ a/P_ e\) where \(R_ a\) and \(P_ e\) are the Rayleigh number and Peclet number respectively. \(\epsilon\) gives the ratio of the velocity scale for free convection to that for the forced convection. The finite-difference scheme is unable to give a satisfactory solution at very large distances from the leading edge, and to overcome this difficulty a simple approximate solution is developed. This solution shows that at large distances along the cylinder, forced convection eventually becomes the dominant mechanism for heat transfer. This is also confirmed by an asymptotic solution of the full boundary- layer problem.
Mathematics Subject Classification ID: 76Rxx
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 3984844
zbMATH Keywords: mixed convection boundary layer
zbMATH Keywords: vertical circular cylinder
zbMATH Keywords: saturated porous medium
zbMATH Keywords: free convection
zbMATH Keywords: forced convection
zbMATH Keywords: finite-difference scheme
zbMATH Keywords: leading edge
zbMATH Keywords: approximate solution
zbMATH Keywords: heat transfer
zbMATH Keywords: asymptotic solution
zbMATH Keywords: boundary-layer problem
author: J. H. Merkin
author: Ioan Pop
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3984844