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Year 2001, Volume 3 / Issue 4

Pages: 192

Article price - $35.00

ONE-DIMENSIONAL APPROXIMATE ANALYTICAL SOLUTIONS OF HEAT CONDUCTION IN SEMI-INFINITE SOLIDS WITH TEMPERATURE-DEPENDENT PROPERTIES

Gaetano Barbaro
DETEC, Università di Napoli Federico II, P.le Tecchio 80, 80125 Napoli, Italy

Nicola Bianco
DETEC, Università di Napoli Federico II, P.le Tecchio 80, 80125 Napoli, Italy

Oronzio Manca
Seconda Universita' degli Studi di Napoli

A new method to obtain approximate one-dimensional transient analytical solution of the nonlinear heat conduction equation with temperature-dependent thermal properties is proposed. In this method the Kirchhoff transform and the enthalpy formulation of the heat conduction equation are used, and approximate solutions are obtained by minimizing the estimated error in the temperature range of interest. The method is compared with other techniques, and it shows an improved agreement with numerical solutions of one-dimensional transient nonlinear conductive problems. The method is applied to one-dimensional problems, and two solutions for continuous and on-off heat laser sources are calculated. The estimated error formulas give a criterion of the reliability of the method. The accuracy of the calculated approximate solutions is determined by comparison with the corresponding numerical ones and is found to be satisfactory.

pages 36

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