Термопружна взаємодія тіл з урахуванням термоопору та тиску ідеального газу в міжконтактному зазорі

• Дата: 2019
• Автори: Чумак, Костянтин, Слободян, Богдан, Маланчук, Наталія
• Формат: Стаття
• Мова: Українська
• Опубліковано: Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України 2019
• Теми: термопружний контакт; ідеальний газ; міжконтактний зазор; контактний термоопір; термічна ректифікація
• Онлайн доступ: https://www.fmmit.lviv.ua/index.php/fmmit/article/view/86
• Назва журналу: Physico-mathematical modeling and informational technologies

The thermoelastic contact of two semi-infinite bodies of heterogeneous materials in the presenceof gas in a gap, which is caused by a groove of a small height on the surface of one of the bodies,is investigated. The gas exerts a pressure on the gap surfaces and causes an additional thermalresistance dependent on the gap height. As a mathematical model of the gas, the ideal gas is chosen,which state is described by the Clapeyron-Mendeleev equation. The effect of the gas pressure,the mechanical and thermal load on the gap deforming is taken into account. The contact problemformulated is reduced to a system of two nonlinear singular integrodifferential equations for thegap height and the temperature jump between the gap surfaces. Its solution is constructed usingthe method of successive approximations. To find the gas pressure, the Clapeyron-Mendeleevequation, in which the dependence of the gas temperature on the temperatures of the gap surfacesis taken into account, is used. Numerical calculations are carried out for the pair of materials ofstainless AISI 304 steel — A380 aluminum alloy in the presence of air, argon, krypton or helium inthe gap. The influence of the gas mass, the heat flow density, and the external pressure intensity onthe gap width, the gas temperature, the thermal contact resistance between the bodies as well asthe level of thermal rectification is analyzed.