Nonstationary heat conduction in a half-space with an infinite number of cylindrical heat sources

1976 ◽  
Vol 15 (4) ◽  
pp. 572-575
Author(s):  
I. A. Ioffe
Keyword(s):  
Heat Conduction ◽  
Half Space ◽  
Infinite Number ◽  
Nonstationary Heat ◽  
Heat Sources ◽  
Nonstationary Heat Conduction

Nonstationary Heat Conduction in Complex-Shape Laminated Plates

2006 ◽  
Vol 129 (3) ◽  
pp. 335-341 ◽  
Author(s):  
Alexander N. Shupikov ◽  
Natalia V. Smetankina ◽  
Yevgeny V. Svet
Keyword(s):  
Heat Conduction ◽  
Convective Heat Exchange ◽  
Laminated Plates ◽  
Temperature Fields ◽  
Nonstationary Heat ◽  
Heat Sources ◽  
Nonstationary Heat Conduction ◽  
Immersion Method ◽  
Heating Systems ◽  
Plate Plane

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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