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Approximate method for determining the maximum temperature during quasistationary heating of a piecewise-homogeneous half-space

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Abstract

A method is proposed to calculate the maximum temperature of the surface of a piecewise-homogeneous half-space heated by a uniformly moving, locally distributed heat flow. Analytical solutions of the corresponding quasistationary heat-conduction problems are obtained for small and large values of the Peclet number. These solutions are used to derive formulas for calculating the maximum temperature in the case of intermediate (moderate) values of the Peclet number.

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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 46, No. 3, pp. 85–97, May–June, 2005.

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Evtushenko, A.A., Ivanik, E.G. & Evtushenko, E.A. Approximate method for determining the maximum temperature during quasistationary heating of a piecewise-homogeneous half-space. J Appl Mech Tech Phys 46, 375–385 (2005). https://doi.org/10.1007/s10808-005-0087-4

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  • DOI: https://doi.org/10.1007/s10808-005-0087-4

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