Inverse Analysis of Steady Heat Conduction with Heat Generation for a Hollow Cylinder.

Document Type : Research Studies

Author

Mechanical Engineering Department., Faculty of Engineering., El-Mansoura University., Mansoura., Egypt.35516

Abstract

 This work is concerned with the inverse analysis of estimating two dimensional steady state temperature distribution in a hollow cylinder wall involving uniform internal heat generation by utilizing the axial distribution of temperature and that of heat flux at the outside surface of the cylinder; both are functions of the axial coordinate. Different version of the solution has also been found by utilizing the corresponding two boundary conditions specified at the inner surface or the hollow cylinder. Exactness and validity of the present solution have been checked up by comparison with exact solutions. The general solution is capable to accommodate boundary conditions data of sharp axial variation. The method may also be of a considerable practical interest, however, for some steady heat transfer investigations using a circular test tube.

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