Abstract
A method for calculating stationary temperature fields in a complex-shape multilayer plate when it is heated with film heat sources is proposed. Convective heat exchange takes place on the outer surfaces of the plate. The solution of the stationary heat conduction problem is obtained for a three-dimensional formulation based on the immersion method. A comparative analysis of the temperature distribution along the thickness of a square plate with the results obtained by finite element method has been carried out. As an example, the problem of stationary thermal conductivity for a five-layer glazing element of a vehicle when heated with a film heat source has been solved.
Highlights
Analysis of the literature shows that the problem of thermal conductivity of multilayer plates on the outer surfaces of which convective heat exchange takes place have been fully studied for the plates of a standard shape in the plane [1, 2]
In publications [5,6,7] similar problems were solved on the basis of a two-dimensional theory
This paper proposes an approach based on a three-dimensional theory
Summary
Analysis of the literature shows that the problem of thermal conductivity of multilayer plates on the outer surfaces of which convective heat exchange takes place have been fully studied for the plates of a standard shape in the plane [1, 2]. The development of methods for calculating temperature fields in multilayer plates having an arbitrary shape, with convective heat transfer on the outer surfaces and the presence of distributed interlayer film heat sources is an urgent problem. Where T 1 and T I are environment temperatures at the boundary between the first and I-th layer, H1 and HI are coefficients of convective heat transfer on the outer and inner surface of the plate respectively. Conditions for the equality of heat fluxes and temperatures at contact boundaries of layers, taking into account thermal loads on surfaces of the layers, are written as:.
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