Equilibrium thermodynamic theory for the evaluation of temperature distributions in overdriven steady-plane wave fronts

2001 ◽  
Vol 90 (8) ◽  
pp. 3754-3761 ◽  
Author(s):  
Tomokazu Sano ◽  
Yukio Sano
2009 ◽  
Vol 50 (2) ◽  
pp. 236-244
Author(s):  
Kenichiro Suetsugu ◽  
Atsushi Yamaguchi ◽  
Kazumi Matsushige ◽  
Toshihisa Horiuchi

Author(s):  
Yukio Sano ◽  
Akihisa Abe ◽  
Akira Yamasaki

Abstract The temperature distributions in overdriven steady wave fronts in 2024 Al shocked up to 80 GPa were predicted using the thermoelastic theory (Wallace theory), where the viscous stress is neglected, and the thermoviscous theory (Sano-Abe theory). The Wallace theory was improved by applying a more exact equation to the bulk modulus. As shock loading was increased, the difference between the temperature distributions predicted using each theory was greater. This tendency of the difference was similar for shocks up to 250 GPa in Pt. Thus, temperature distributions in overdriven steady wave fronts cannot be effectively evaluated using thermoelastic theory.


Soft Matter ◽  
2020 ◽  
Vol 16 (24) ◽  
pp. 5740-5749
Author(s):  
Yu Zhou ◽  
Lihua Jin

A non-equilibrium thermodynamic theory is developed to predict hydrolysis-induced large swelling of polyacrylamide hydrogels.


1986 ◽  
Vol 103 (1-2) ◽  
pp. 161-177 ◽  
Author(s):  
José M. Fraile ◽  
José Sabina

SynopsisThis paper deals with the existence of bounded plane wave fronts of reaction-diffusion systems. The main result ensures the partial invariance of a certain region, under kinetic conditions commonly used in the literature. This allows us to construct bounded plane wave fronts taking their values in that domain. We also give an estimate of the minimum permissible value of the propagation velocity of those plane wave fronts. Some examples are given.


2015 ◽  
Vol 481 (1) ◽  
pp. 166-188 ◽  
Author(s):  
Shu-Tao Ai ◽  
Hui-Ping Bo ◽  
Shao-Yin Zhang ◽  
Yuan-Zhen Cai

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