Computer Modeling of Two-Dimensional Non-Stationary Heat Conduction Problems Considering Point Heat Sources Using the FEM

Abstract

The process of heat exchange in mechanical systems is discussed in the article. The solution to two-dimensional non-stationary heat conduction problems in the presence of point heat sources is studied based on the finite element method. To solve a plane heat conduction problem, a triangular finite element with rectilinear sides is used. The basic relations for linear triangular finite elements are presented, taking into account the influence of point heat sources. A source set at a specific point on the plane describes a heater in the form of a string. This point on the plane is the trace of the string and is set by the heat generation power per unit length. Based on the developed computational algorithm and software, a numerical solution to a specific problem is given and the influence of point heat sources on the distribution of the temperature field of the structure is studied.