Generalized heat equation and transitions between different heat-transport regimes in narrow stripes
- Resource Type
- Authors
- Michele Sciacca; Antonio Sellitto; Ada Amendola
- Source
- Mechanics Research Communications. 98:22-30
- Subject
- diffusive regime
generalized heat equation
05.70.Ln
46.05.+b
02 engineering and technology
ballistic regime
01 natural sciences
Stability (probability)
010305 fluids & plasmas
phonon-hydrodynamic regime
0203 mechanical engineering
0103 physical sciences
General Materials Science
Special case
Civil and Structural Engineering
Physics
Mechanical Engineering
Ballistic regime
Condensed Matter Physics
Nonlinear system
020303 mechanical engineering & transports
Classical mechanics
66.70.-f
Mechanics of Materials
Fourier law
Heat equation
- Language
- ISSN
- 0093-6413
In the framework of weakly nonlocal thermodynamic theory, in this paper we derive a nonlocal and nonlinear heat-transport equation beyond the Fourier law by means of thermodynamic considerations in agreement with the second law. The obtained equation describes the transitions among different heat-transport regimes. The stability of the solution of that equation is also analyzed in a special case.