The effect of wall conductance on heat diffusion in duct flow

E. M. Lungu, H. K. Moffatt

    Research output: Contribution to journalArticle

    32 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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    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.",
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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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