Periodic heat conduction with relaxation time in cylindrical geometry |
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Authors: | E Zanchini B Pulvirenti |
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Institution: | (1) Dipartimento di Ingegneria Energetica, Nucleare e del Controllo Ambientale (DIENCA) Universitá di Bologna Viale Risorgimento 29 I-40136 Bologna, Italy, IT |
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Abstract: | Steady-periodic heat conduction with relaxation time in an infinitely long hollow cylinder is considered. Four boundary value
problems, with boundary conditions of the first and of the second kind, are solved analytically. The solution for a solid
cylinder with a sinusoidally varying surface temperature is obtained as a special case of a solution found for the hollow
cylinder. The effects of the relaxation time on the steady-periodic temperature field are analysed, in details, for a solid
cylinder with a sinusoidally varying surface temperature and for a hollow cylinder with a sinusoidally varying heat flux at
the inner surface and with a constant temperature at the outer surface. The results show that thermal resonances may occur
and suggest that accurate measurements of the relaxation time could be obtained by means of experiments on steady-periodic
heat conduction in cylindrical geometry.
Received on 15 April 1997 |
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