The effect of wall conductance on heat diffusion in duct flow

E. M. Lungu, H. K. Moffatt

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36 Citations (Scopus)


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
Issue number2
Publication statusPublished - May 1982

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • General Engineering


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