Non-Fourier heat conduction by axisymmetric thermal waves in an infinite solid medium |
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| Authors: | B Pulvirenti E Rossi di Schio |
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| Institution: | (1) Dipartimento di Ingegneria Energetica Nucleare e del Controllo Ambientale (DIENCA), Università di Bologna, Viale Risorgimento, 2, I-40136 Bologna, Italy, IT |
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| Abstract: | The non-stationary heat conduction in an infinite solid medium internally bounded by an infinitely long cylindrical surface
is considered. A uniform and time- dependent temperature is prescribed on the boundary surface. An analytical solution of
the hyperbolic heat conduction equation is obtained. The solution describes the wave nature of the temperature field in the
geometry under consideration. A detailed analysis of the cases in which the temperature imposed on the boundary surface behaves
as a square pulse or as an exponentially decaying pulse is provided. The evolution of the temperature field in the case of
hyperbolic heat conduction is compared with that obtained by solving Fourier's equation.
Received on 28 January 1998 |
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