Solutions to heat-conduction problems by a mixed method

Rao, MNB (1980) Solutions to heat-conduction problems by a mixed method. International Journal of Heat and Mass Transfer, 23. pp. 443-450. ISSN 0017-9310

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A mixed formulation for the three-dimensional analysis of steady heat-conduction problems is presented. The method developed permits prescription of the boundary conditions in terms of either the temperature or the heat flux, or a combination of both. The general expressions for the temperature and the heat fluxes are derived in the form of a series in powers of the linear partial differential operators which operate on a set of initial functions to be determined by the prescribed boundary conditions. One of the important features of this method is its ability in providing approximate solutions in closed form. In order to illustrate the procedure some representative example problems with respect to thick plates have been solved, the corresponding solutions leading to results of engineering accuracy

Item Type: Article
Additional Information: Copyright for this article belongs to Elsevier Science Ltd.
Uncontrolled Keywords: Boundary value problems;Conductive heat transfer;Heat flux; Steady state;Three dimensional flow;Boundary conditions; Error analysis;Operators (mathematics);Partial differential equations;Solids;Temperature distribution
Subjects: ENGINEERING > Fluid Mechanics and Thermodynamics
Depositing User: Ms. Alphones Mary
Date Deposited: 11 Feb 2010
Last Modified: 03 May 2012 04:51

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