By means of a dynamical non-equilibrium temperature we derive a generalized heat-conduction equa- tion which accounts for non-local, non-linear,and relaxation effects.The dynamical temperature is also capable to reproduce several enhanced heat equations recently proposed in literature.The heat flux is supposed to be proportional to the gradient of the dynamical temperature, and the material functions are allowed to depend on temperature. It is also pointed out that the heat flux cannot assume arbitrary values, but it is limited from above by a maximum value which ensures that the thermal conductivity remains positive.

Dynamical temperature and generalized heat-conduction equation

CIMMELLI, Vito Antonio
2016-01-01

Abstract

By means of a dynamical non-equilibrium temperature we derive a generalized heat-conduction equa- tion which accounts for non-local, non-linear,and relaxation effects.The dynamical temperature is also capable to reproduce several enhanced heat equations recently proposed in literature.The heat flux is supposed to be proportional to the gradient of the dynamical temperature, and the material functions are allowed to depend on temperature. It is also pointed out that the heat flux cannot assume arbitrary values, but it is limited from above by a maximum value which ensures that the thermal conductivity remains positive.
2016
File in questo prodotto:
File Dimensione Formato  
Carlomagno Sellitto Cimmelli_IJNLM_2016.pdf

solo utenti autorizzati

Descrizione: Bozza finale post referaggio (Article in Press)
Tipologia: Documento in Post-print
Licenza: DRM non definito
Dimensione 477.08 kB
Formato Adobe PDF
477.08 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/11563/116197
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 5
  • ???jsp.display-item.citation.isi??? 5
social impact