In a previous paper [5], numerical solutions of initial-boundary value problems for the semi-empirical model of heat conduction were compared with available experimental results. In [6] the model was modified by introducing more realistic approximations of constitutive functions, basing on measured specific heat, heat conductivity and second sound speeds for NaF at low temperatures (10...20 K). In the present paper we suggest a method to choose the free parameters entering the constitutive functions by minimizing an error functional, measuring the differences between the theoretical and experimental heat pulses.
On hyperbolic heat conduction
CIMMELLI, Vito Antonio
1997-01-01
Abstract
In a previous paper [5], numerical solutions of initial-boundary value problems for the semi-empirical model of heat conduction were compared with available experimental results. In [6] the model was modified by introducing more realistic approximations of constitutive functions, basing on measured specific heat, heat conductivity and second sound speeds for NaF at low temperatures (10...20 K). In the present paper we suggest a method to choose the free parameters entering the constitutive functions by minimizing an error functional, measuring the differences between the theoretical and experimental heat pulses.File in questo prodotto:
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Frischmuth & Cimmelli, hyperboli heat conduction Arch Mech 49 (1997), 285-291.pdf
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