Publication de 6 numéros par an
ISSN Imprimer: 1940-2503
ISSN En ligne: 1940-2554
Indexed in
INVERSE SOLUTION TO STEADY TWO-DIMENSIONAL HEAT CONDUCTION IN PLANE WALLS
RÉSUMÉ
An analytical technique is developed for solving the inverse problem of steady heat conduction in a two-dimensional flat plate. In the problem, the temperature and heat flux on one of the plate boundaries are known functions of the space variable. Explicit closed-form expressions are derived for calculating the two-dimensional distributions of temperature and heat flux in the solid plate for arbitrary over-specified boundary temperature and heat flux profiles. The solution does not require knowledge of the thermal conditions on the other plate boundaries. The effect of uniform heat generation inside the plate is exactly modeled in the general solution. Test problems of known exact solutions are used to examine the validity of the proposed analytical technique.
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