Solution of nonstationary heat-conduction problems for thermosensitive bodies under convective heat exchange

1998 ◽  
Vol 90 (2) ◽  
pp. 2037-2041 ◽  
Author(s):  
V. S. Popovich ◽  
G. Yu. Garmatii
Author(s):  
V.S. Zarubin ◽  
V.V. Leonov ◽  
V.S. Jr. Zarubin

The paper focuses on the process of steady heat conduction in a spherical layer of a heat-shielding coating made of anisotropic material. The inner surface of the layer is ideally heat-insulated but its outer surface is exposed to heating by convective heat exchange with the environment, the temperature of which varies along this surface. Based on the obtained solution of the linear heat conduction problem, we quantitatively assessed the influence of the degree of anisotropy of the coating material, its relative thickness, intensity of convective heat transfer, and uneven distribution of ambient temperature on the equalization of temperature distribution in the spherical layer. The results obtained can be used to select the characteristics of an anisotropic coating material in order to reduce the temperature of the outer surface of the spherical layer in the zone of the most intense heating.


2006 ◽  
Vol 129 (3) ◽  
pp. 335-341 ◽  
Author(s):  
Alexander N. Shupikov ◽  
Natalia V. Smetankina ◽  
Yevgeny V. Svet

Based on the immersion method, an analytical solution has been obtained for the problem of nonstationary heat conduction in laminated plates of complex plan shape when they are heated with interlayer film heat sources. The temperature distribution over the thickness of each layer is represented in the form of an expansion in a system of the orthonormal Legendre polynomials and, in the plate plane, it is represented as trigonometric series expansions. Temperature fields were investigated in a five-layer plate for conditions of convective heat exchange with the environment. The method suggested can be applied for designing heating systems and determining temperature stresses in laminated glazing for different vehicles


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