The problem of heat transfer from a constant-wall-temperature pipe buried in a semi-infinite solid medium with a plane surface exposed to a fluid flow is solved semi-analytically. Using a conformal mapping, the original semi-infinite physical domain is transformed into a finite rectangular domain. A singular Fredholm integral equation of the second kind is derived and solved numerically to find the temperature distribution for the solid. The total heat flux Q from the exposed surface is expressed by modifying the conventional expression Q=kS Delta T to Q= eta kS Delta T, where S is the conduction shape factor, k is the thermal conductivity of the solid, and Delta T represents the temperature difference between the pipe wall and the surrounding fluid. The panel efficiency eta and maximum surface temperature are presented in terms of the Biot number and a geometric parameter, L/D.


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    Title :

    Semi-analytical solution for heat transfer from a buried pipe with convection on the exposed surface


    Contributors:
    Mo Chung (author) / Jung, Pyung-Suk (author) / Rangel, R.H. (author)

    Published in:

    Publication date :

    1999


    Size :

    16 Seiten, 14 Quellen




    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English





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