Non-stationary temperature fields in a cylindrical-elliptic space, a half-space and a layer made of two materials (Q2753504)
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scientific article; zbMATH DE number 1670314
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non-stationary temperature fields in a cylindrical-elliptic space, a half-space and a layer made of two materials |
scientific article; zbMATH DE number 1670314 |
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11 November 2001
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heat conduction
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coordinates of elliptic cylinder
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explicit solution
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Matthew functions
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0.9012754
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0.9005349
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Non-stationary temperature fields in a cylindrical-elliptic space, a half-space and a layer made of two materials (English)
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Problems of heat conduction for a space, a half-space and a layer with interface between two different materials having the shape of an elliptic cylinder are considered. Conditions of non-ideal thermal contact at the interface are assumed. For separation of the \(z\) variable, Fourier transform is used in space and half-space, and a finite Fourier transform is used for the layer. In the plane perpendicular to the \(z\) axis, an integral transform containing non-periodic and periodic Matthew functions is applied. Explicit solutions in integral form are obtained.
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