ANALYTICAL INVESTIGATION OF HEAT TRANSFER IN AN ANISOTROPIC BAND WITH HEAT FLUXES ASSIGNED AT THE BOUNDARIES

An analytical solution of a nonstationary problem of the theory of heat conduction in an anisotropic band under heat transfer conditions at the boundaries has been obtained for the fi rst time by applying the Fourier transformation with respect to the longitudinal variable and the Laplace transformation for time. The problem is formulated and solved in regions with anisotropy of general form when the principal axes of the heat conduction tensor are set at an angle
that orients these axes relative to the Cartesian coordinate system.
An analytical solution of a nonstationary problem of the theory of heat conduction in an anisotropic band under heat transfer conditions at the boundaries has been obtained for the fi rst time by applying the Fourier transformation with respect to the longitudinal variable and the Laplace transformation for time. The problem is formulated and solved in regions with anisotropy of general form when the principal axes of the heat conduction tensor are set at an angle
that orients these axes relative to the Cartesian coordinate system.
Author:  V. F. Formalev and S. A. Kolesnik
Keywords:  heat conduction, anisotropy, thermal conductivity tensor, direct and inverse integral transformations, analytical solution, heat transfer, nonstationary temperature fields
Page:  975