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Applied Physics and Mathematics

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TEMPERATURE FIELD OF A HOMOGENEOUS STRIP WITH A LINEAR INCREASE IN THICKNESS UNDER BOUNDARY CONDITIONS OF THE FIRST KIND
YU.YU. GROMOV, A.V. RYAZHSKIKH, A.A. KHVOSTOV, E.A. SOBOLEVA

The temperature field is identified analytically as a result of solving the initial-boundary problem of a non-stationary onedimensional heat equation with boundary conditions of the first kind for an infinite strip with one of the boundaries moving at a known constant velocity along the normal to the other, increasing the strip thickness. A comparative analysis with a computational experiment showed that the dynamics of the velocity field describe the process physically correctly.
Keywords: analytical solution, strip, parabolic equation, moving boundary, boundary conditions of the first kind.


DOI: 10.25791/pfim.01.2023.1250

Pp. 24-28.

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