Abstract
This paper describes a mathematical model and the method for determining the thermal stress fields in a cylindrical wall element of a pressure vessel with a built-in heating element and a layer of heat insulating material. The method presented is based on the calculation of contact pressures.
Highlights
IntroductionMost pressure vessel (autoclave) designs have an internal heater. Their common disadvantage is the position of the heating elements in the reaction chamber
Most pressure vessel designs have an internal heater
The various circumferential layers with different properties of a solid propellant rocket motor are described here [1] to obtain an analytical solution for the general case of a multilayered thick cylindrical shell for internal pressure and thermal loads
Summary
Most pressure vessel (autoclave) designs have an internal heater. Their common disadvantage is the position of the heating elements in the reaction chamber. Assuming that all layers of the wall (figure 1) have the same modulus of elasticity (modulus of elasticity of the first kind), we obtain a system of equations for determining contact pressures P1, P2, P3, P4, taking into account the geometric characteristics of the wall structure and without using the modulus of elasticity of the layers. The actual values of the contact pressures that occurs in the structure (figure 1) loaded by the internal pressure P0 are determined It has been demonstrated experimentally [14] that the maximum heating temperature in the wall takes place on the inner surface of the layer (figure 1, No 3) behind the heating elements.
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