scholarly journals Acceleration Waves in Rational Extended Thermodynamics of Rarefied Monatomic Gases

Fluids ◽  
2020 ◽  
Vol 5 (3) ◽  
pp. 139
Author(s):  
Francesca Brini ◽  
Leonardo Seccia

Rational Extended Thermodynamics theories with different number of moments are usually introduced to study non-equilibrium phenomena in rarefied gases. Here, we use them to describe one-dimensional acceleration waves in a rarefied monatomic gas. In particular, we focus on the degeneracy of the acceleration wave to a shock wave, in order to test the validity of the models and the role played by an increasing number of moments. As a byproduct, some peculiarities of the characteristic velocities at equilibrium are analyzed as well.

1973 ◽  
Vol 40 (4) ◽  
pp. 1055-1060 ◽  
Author(s):  
P. J. Chen ◽  
M. E. Gurtin

In this paper we study one-dimensional wave propagation in (nonlinear) elastic and viscoelastic composites. We derive an expression for the amplitude of an acceleration wave; when confined to the junction points of the cells, this expression has exactly the same form as that for a single nonlinear viscoelastic material. We use this fact to derive effective moduli for composites.


2010 ◽  
Vol 7 ◽  
pp. 90-97
Author(s):  
M.N. Galimzianov ◽  
I.A. Chiglintsev ◽  
U.O. Agisheva ◽  
V.A. Buzina

Formation of gas hydrates under shock wave impact on bubble media (two-dimensional case) The dynamics of plane one-dimensional shock waves applied to the available experimental data for the water–freon media is studied on the base of the theoretical model of the bubble liquid improved with taking into account possible hydrate formation. The scheme of accounting of the bubble crushing in a shock wave that is one of the main factors in the hydrate formation intensification with increasing shock wave amplitude is proposed.


1971 ◽  
Vol 26 (1) ◽  
pp. 10-17 ◽  
Author(s):  
A. R. Allnatt

AbstractA kinetic equation is derived for the singlet distribution function for a heavy impurity in a lattice of lighter atoms in a temperature gradient. In the one dimensional case the equation can be solved to find formal expressions for the jump probability and hence the heat of transport, q*. for a single vacancy jump of the impurity, q* is the sum of the enthalpy of activation, a term involving only averaging in an equilibrium ensemble, and two non-equilibrium terms in­volving time correlation functions. The most important non-equilibrium term concerns the cor­relation between the force on the impurity and a microscopic heat flux. A plausible extension to three dimensions is suggested and the relation to earlier isothermal and non-isothermal theories is indicated


2021 ◽  
Vol 3 (1) ◽  
Author(s):  
Romain Dubessy ◽  
Juan Polo ◽  
Hélène Perrin ◽  
Anna Minguzzi ◽  
Maxim Olshanii

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