92 citations · 305 across the 8 of their papers we have counts for
7 papers · 1 filter
Open mathematical aspects of continuum thermodynamics: hyperbolicity, boundaries and nonlinearities
Mátyás Szücs, Róbert Kovács, Srboljub Simić
Thermodynamics is continuously spreading in the engineering practice, which is especially true for non-equilibrium models in continuum problems. Although there are concepts and app…
Emergence of non-Fourier hierarchies
Tamás Fülöp, Róbert Kovács, Ádám Lovas +5
The non-Fourier heat conduction phenomenon on room temperature is analyzed from various aspects. The first one shows its experimental side, in what form it occurs and how we treate…
On the rarefied gas experiments
Róbert Kovács
There are limits of validity of classical constitutive laws such as Fourier and Navier-Stokes equations, phenomena beyond those limits have been experimentally found many decades a…
Analytic solution of Guyer-Krumhansl equation for laser flash experiments
Róbert Kovács
The existence of non-Fourier heat conduction is known for a long time in small and low temperature systems. The deviation from Fourier's law has been found at room temperature in h…
Thermodynamical consistency of the Dual Phase Lag heat conduction equation
Róbert Kovács, Péter Ván
Dual phase lag equation for heat conduction is analyzed from the point of view of non-equilibrium thermodynamics. Its first order Taylor series expansion is consistent with the sec…
Generalized heat-transport equations: Parabolic and hyperbolic models
Patrizia Rogolino, Róbert Kovács, Péter Ván +1
We derive two different generalized heat-transport equations: The most general one, of the first order in time and second order in space, encompasses some well known heat equations…
Deviation from the Fourier law in room-temperature heat pulse experiments
S. Both, B. Czél, T. Fülöp +5
We report heat pulse experiments at room temperature that cannot be described by Fourier's law. The experimental data is modelled properly by the Guyer--Krumhansl equation, in its…