In a previous paper [1], numerical solutions to initial-boundary value problems for a semi-empirical model of heat conduction were compared with available experimental results. In the present paper we modify the model by introducing more realistic approximations of constitutive functions, based on measured heat conductivity and second sound speeds for NaF at low temperatures (10...20 K). We acieve good accordance between measured second sound pulses and numerical solutions in the temperature range covered by the experiments, and reasonablebehaviour even beyond this interval. Especially, a passage to the diffusive regime of the classical Fourier law is possible.

Determination of material functions through second sound measurements in a hyperbolic heat conduction theory

CIMMELLI, Vito Antonio;
1996-01-01

Abstract

In a previous paper [1], numerical solutions to initial-boundary value problems for a semi-empirical model of heat conduction were compared with available experimental results. In the present paper we modify the model by introducing more realistic approximations of constitutive functions, based on measured heat conductivity and second sound speeds for NaF at low temperatures (10...20 K). We acieve good accordance between measured second sound pulses and numerical solutions in the temperature range covered by the experiments, and reasonablebehaviour even beyond this interval. Especially, a passage to the diffusive regime of the classical Fourier law is possible.
1996
File in questo prodotto:
File Dimensione Formato  
cimmelli-frischmuth determination of material functions Math Comp. Mod 1996.pdf

non disponibili

Tipologia: Documento in Post-print
Licenza: DRM non definito
Dimensione 479.74 kB
Formato Adobe PDF
479.74 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11563/3381
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? 17
social impact