Axisymmetric non-fourier temperatures in cylindrically bounded domains |
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| Authors: | MH Sadd |
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| Institution: | University of Rhode Island, Department of Mechanical Engineering and Applied Mechanics, Kingston, RI 02881, U.S.A.;Mississippi State University, Department of Mechanical Engineering, Mississippi State, MS 39762, U.S.A. |
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| Abstract: | Heat conduction solutions are presented for the case where the material obeys a non-Fourier conduction law. In contrast to the Fourier law which predicts an infinite speed of heat propagation, the non-Fourier theory implies that the speed of thermal signals are finite. Axisymmetric problems for regions interior and exterior to a circular cylinder are investigated by using methods of Laplace transformation and asymptotic analysis. Comparisons of the temperature profiles are made with Fourier theory for the case of step function temperature boundary conditions. |
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