Numerical Study on Heat Transfer in Multilayered Structures of Main Geometric Forms Made of Different Materials

Abstract

The article proposed a general research scheme of heat transfer process in multilayer constructions for three basic geometric forms in order to simulate fire distribution. The scheme is based on linear differential equations, the Fourier method and the modified method of Eigen functions. The work considers five different layers' design and does not take into account internal heat sources. In this regard, a one-parameter family of boundary problems were solved. The authors simulated heat transfer for the Cartesian, cylindrical and spherical coordinates. Structures comprised several materials each having thermal properties varying with temperature.

Analysis of the effects of alloying with Si and Cr on the properties of manganese austenite based on AB INITIO modelling

“…In this case, it is especially important to assess the influence of dissolved alloying elements in manganese austenite on its stability and the physical-mechanical characteristics. In addition, when applying coatings from manganese steels, it is important to assess the effect of alloying on the thermophysical characteristics, which emerge in different procedures for calculating temperature fields [4,5]. Among these elements, it is important to assess the effects of silicon, which is part of almost all high manganese steels and coatings based on them.…”

Direct method of studying heat exchange in multilayered bodies of basic geometric forms with imperfect heat contact

“…It has already been realized in the works of Eliseev V. N. and Tovstonoga V. A. for the case of stationary thermal conductivity [10] and nonstationary [11]. This ap proach was independently used by the authors and implement ed to find the solution of the differential equation of thermal conductivity under conditions of ideal thermal contact in [12].…”

“…Numerous methods are becoming increasingly popular due to the advancement of computer technology. From a practical point of view, analytical solutions can be quite cumbersome and complex, but they have a number of advantages over numerical ones: they give more accurate results; lead to a better under standing of the research process through its mathematical form; moreover, they can be used to verify numerical codes [12].…”

“…Reduction method. Following, for example, [12,17] we will look for a solution to the problem (1-4) in the form of the sum of two interconnected functions…”

“…with conjugation conditions (12) and the initial condition takes the form v l (r, 0) = f l (r) ≡ j 1 (r) -u l (r, 0).…”