Convective plume paths from a line source

D A S Rees, L Storesletten

Research output: Contribution to journalArticle

Abstract

We consider the flow induced by a line source placed at the intersection of two semi-infinite plane surfaces, and our main aim is to determine the influence of these bounding surfaces on the direction the plume takes. To this end a two-term boundary layer theory is presented from which it is deduced that the plume is, in general, orientated away from the vertical. A careful analysis of the boundary-layer solutions is undertaken to provide, subject to the determination of a constant for each Prandtl number, an analytical expression for the plume angle in terms of the orientations of the bounding surfaces. It is found that the plume is affected very strongly by the presence of the surfaces.
Original languageEnglish
Pages (from-to)443-455
Number of pages13
JournalQuarterly Journal of Mechanics and Applied Mathematics
Volume55
Issue number3
DOIs
Publication statusPublished - 2002

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plumes
Path
Line
Boundary Layer
boundary layers
Boundary layers
Prandtl number
intersections
Intersection
Vertical
Angle
Term

Keywords

  • Surface properties
  • Thermal plumes
  • Heat convection
  • Thermal diffusion
  • Boundary layer flow
  • Prandtl number
  • Approximation theory

Cite this

Convective plume paths from a line source. / Rees, D A S; Storesletten, L.

In: Quarterly Journal of Mechanics and Applied Mathematics, Vol. 55, No. 3, 2002, p. 443-455.

Research output: Contribution to journalArticle

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AB - We consider the flow induced by a line source placed at the intersection of two semi-infinite plane surfaces, and our main aim is to determine the influence of these bounding surfaces on the direction the plume takes. To this end a two-term boundary layer theory is presented from which it is deduced that the plume is, in general, orientated away from the vertical. A careful analysis of the boundary-layer solutions is undertaken to provide, subject to the determination of a constant for each Prandtl number, an analytical expression for the plume angle in terms of the orientations of the bounding surfaces. It is found that the plume is affected very strongly by the presence of the surfaces.

KW - Surface properties

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KW - Heat convection

KW - Thermal diffusion

KW - Boundary layer flow

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KW - Approximation theory

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