Determination of three-dimensional temperature fields in multiply connected orthotropic bodies under heating with heat sources and flows

We present an algorithm for calculating temperature fields in orthotropic bodies of complex shape, which is based on the method of integral equations. To develop the algorithm, the heat conduction boundary-value problem for orthotropic bodies is preliminarily reduced to the corresponding heat conduction problems for isotropic bodies with modified boundary conditions and heat sources. An investigation of the influence of anisotropy on temperature fields in a bounded and an infinite body with a cavity that are heated by heat sources and flows is performed.