An analytical study of second-sound phenomena, specifically, temperature-rate and traveling waves, in nonlinear rigid solids described by a special case of the Maxwell-Catteneo flux law is presented. The distinguishing feature of this class of conductors is the temperature-dependent nature of the thermal relaxation time coefficient. Here, the governing, quasilinear, hyperbolic system is studied and interesting features are revealed; in particular, finite-time amplitude blow- up and a link between temperature-rate waves and traveling waves are highlighted.
Second-sound in nonlinear Graffi-Franchi-Straughan type one dimensional heat conductors / Carillo, Sandra; Jordan, Pedro M.. - STAMPA. - unico:(2016), pp. 35-38. (Intervento presentato al convegno 1th International Congress on Thermal Stresses 2016 tenutosi a SALERNO, ITALY nel June 5–9, 2016).
Second-sound in nonlinear Graffi-Franchi-Straughan type one dimensional heat conductors
CARILLO, Sandra;
2016
Abstract
An analytical study of second-sound phenomena, specifically, temperature-rate and traveling waves, in nonlinear rigid solids described by a special case of the Maxwell-Catteneo flux law is presented. The distinguishing feature of this class of conductors is the temperature-dependent nature of the thermal relaxation time coefficient. Here, the governing, quasilinear, hyperbolic system is studied and interesting features are revealed; in particular, finite-time amplitude blow- up and a link between temperature-rate waves and traveling waves are highlighted.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
