Temperature field of anisotropic half-space with movable boundary at local thermal impact in conditions of heat exchange with outer ambient

Аuthors

Attetkov A. V.^*, Volkov I. K.

Bauman Moscow State Technical University, MSTU, 5, bldg. 1, 2-nd Baumanskaya str., Moscow, 105005, Russia

*e-mail: fn2@bmstu.ru

Abstract

Proposed is а mathematical model of the process of formation of а temperature field in an anisotropic half-space, which boundary moves parallel to itself at а constant rate and it is subjected to local thermal action under conditions of heat exchange with the external environment. It is shown that in the moving coordinate system the temperature field of the research object can be represented as the sum of two independent additive components. The first of the components is due to influence of the external environment, heat exchange with it is realized according to Newton law. Using the composition of Fourier’s two-dimensional exponential integral transformation and Laplace’s integral transformation in analytically closed form second additive component of the temperature field is found under the most general assumptions about the operation mode and structure of the external heat flow. The obtained results confirm the previously observed “drift” effect of the temperature field in an anisotropic material with anisotropy of the properties of the general form.

Keywords:

anisotropic separation wall, local thermal action, temperature field, integral transformation

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