The effect of wall conductance on heat diffusion in duct flow

E. M. Lungu, H. K. Moffatt

Research output: Contribution to journalArticle

33 Citations (Scopus)

Abstract

The axial diffusion of a passive scalar field (e.g. temperature) in Poiseuille flow through a duct is considered, taking account of leakage of heat through the duct boundary. The cases of the two-dimensional channel and the pipe of circular cross-section are considered in detail, and it is shown that (i) the centroid of the scalar field moves (asymptotically) with a velocity intermediate between the mean and the maximum flow rates and increases with increasing wall conductance, and (ii) the effective diffusivity in the flow direction is a decreasing function of wall conductance. The temperature field downstream of a maintained heat source is determined as a function of wall conductance.

Original languageEnglish
Pages (from-to)121-136
Number of pages16
JournalJournal of Engineering Mathematics
Volume16
Issue number2
DOIs
Publication statusPublished - May 1982

Fingerprint

Heat Diffusion
Conductance
Ducts
Temperature distribution
Scalar Field
Passive Scalar
Maximum Flow
Poiseuille Flow
Pipe
Flow rate
Heat Source
Diffusivity
Centroid
Temperature Field
Leakage
Flow Rate
Cross section
Heat
Hot Temperature

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Engineering(all)

Cite this

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The effect of wall conductance on heat diffusion in duct flow. / Lungu, E. M.; Moffatt, H. K.

In: Journal of Engineering Mathematics, Vol. 16, No. 2, 05.1982, p. 121-136.

Research output: Contribution to journalArticle

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