Abstract
According to the wave model of heat conduction and relaxation, the heat flux equilibrates to the imposed temperature gradient by a relaxation phenomenon of lattice vibrations. The diffusion term dampens the wave propagation. The relaxation time may also be viewed as a weighted effect of the two. For zero relaxation times, the Fourier model remains and at infinite relaxation times the governing equation reverts to the wave equation. The origins of a damped wave non–Fourier heat conduction and relaxation equation have been traced back to the phenomenological relations between forces and flows, and the Onsager reciprocal relations. There is room for an accumulation of energy term in the definition of heat flux as the energy of molecules leaving the surface excluding the energy of molecules entering the surface. The chapter outlines the nature of the partial differential equations (PDE) such as hyperbolic, parabolic, and elliptic.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call