Displaying similar documents to “The relationship between the local temperature and the local heat flux within a one-dimensional semi-infinite domain of heat wave propagation.”

Hyperbolic heat conduction in two semi-infinite bodies in contact

J. A. López Molina, Macarena Trujillo Guillén (2005)

Applications of Mathematics

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We find, under the viewpoint of the hyperbolic model of heat conduction, the exact analytical solution for the temperature distribution in all points of two semi-infinite homogeneous isotropic bodies that initially are at uniform temperatures T 0 1 and T 0 2 , respectively, suddenly placed together at time t = 0 and assuming that the contact between the bodies is perfect. We make graphics of the obtained temperature profiles of two bodies at different times and points. And finally, we compare the...

Mathematical and physical aspects of the initial value problem for a nonlocal model of heat propagation with finite speed

Jerzy A. Gawinecki, Agnieszka Gawinecka, Jarosław Łazuka, J. Rafa (2013)

Applicationes Mathematicae

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Theories of heat predicting a finite speed of propagation of thermal signals have come into existence during the last 50 years. It is worth emphasizing that in contrast to the classical heat theory, these nonclassical theories involve a hyperbolic type heat equation and are based on experiments exhibiting the actual occurrence of wave-type heat transport (so called second sound). This paper presents a new system of equations describing a nonlocal model of heat propagation with finite...