Interstitial Working and a Nonclassical Continuum Thermodynamics

1986 ◽  
pp. 187-222 ◽  
Author(s):  
J. E. Dunn
Keyword(s):  
Continuum Thermodynamics ◽  
Interstitial Working

Variational Formulation of the First Principle of Continuum Thermodynamics

2009 ◽  
Vol 22 (3) ◽  
pp. 177-187 ◽  
Author(s):  
Giovanni Romano ◽  
Marina Diaco ◽  
Raffaele Barretta
Keyword(s):  
Variational Formulation ◽  
First Principle ◽  
Continuum Thermodynamics

Dense Suspension Flows: a Mathematical Model Consistent with Thermodynamics

2021 ◽  
Author(s):  
Vladimir Shelukhin ◽  
Vladimir Neverov
Keyword(s):  
Mass Concentration ◽  
Mass Force ◽  
Continuum Thermodynamics ◽  
Flux Vector ◽  
Virtual Mass ◽  
Suspension Flows ◽  
Dense Suspension ◽  
Dense Suspensions ◽  
Archimedes Force ◽  
Particle Mass Concentration

Abstract We address the flows of dense suspensions of particles within the framework of two-velocity continuum. Thermodynamics of such a continuum is developed by the method suggested in the papers of L. D. Landau and I. M. Khalatnikov. As an application, we consider the convective settling problem. We capture the Boycott effect and prove that the enhanced sedimentation occurs in a 10 tilted vessel due to vortices. We do not call on additional interphase forces like the Stokes drag, the virtual mass force, the Archimedes force, the Basset-Boussinesq force and etc. Instead, we apply a generalized Fick's law for the particle mass concentration flux vector.

Geometric measure theory and the axioms of continuum thermodynamics

1986 ◽  
Vol 92 (1) ◽  
pp. 1-22 ◽  
Author(s):  
Morton E. Gurtin ◽  
William O. Williams ◽  
William P. Ziemer
Keyword(s):  
Measure Theory ◽  
Geometric Measure Theory ◽  
Continuum Thermodynamics ◽  
Geometric Measure
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