On the definition and derivatives of macroscale energy for the description of multiphase systems

[1]  William G. Gray,et al.  General conservation equations for multi-phase systems: 1. Averaging procedure , 1979 .

[2]  William G. Gray,et al.  Closure Conditions for Two-Fluid Flow in Porous Media , 2002 .

[3]  William G. Gray,et al.  General conservation equations for multi-phase systems: 2. Mass, momenta, energy, and entropy equations , 1979 .

[4]  R. Callen,et al.  Thermodynamics and an Introduction to Thermostatistics, 2nd Edition , 1985 .

[5]  William G. Gray,et al.  General conservation equations for multi-phase systems: 3. Constitutive theory for porous media flow. , 1980 .

[6]  William G. Gray,et al.  Averaging theorems and averaged equations for transport of interface properties in multiphase systems , 1989 .

[7]  I. Oppenheim A survey of thermodynamics , 1996 .

[8]  Stephen Whitaker,et al.  ADVANCES IN THEORY OF FLUID MOTION IN POROUS MEDIA , 1969 .

[9]  A. Neumann,et al.  THE GENERALIZED THEORY OF CAPILLARITY , 1996 .

[10]  G. Vojta,et al.  Statistical Mechanics of Nonequilibrium Processes , 1998 .

[11]  H. J. Sauer,et al.  Engineering thermodynamics, 2nd Ed , 1985 .

[12]  William G. Gray,et al.  Macroscale continuum mechanics for multiphase porous-media flow including phases, interfaces, common lines and common points , 1998 .

[13]  S. Whitaker Diffusion and dispersion in porous media , 1967 .

[14]  W. G. Gray Response to the comments of T. N. Narasimhan , 1980 .

[15]  H. Callen Thermodynamics and an Introduction to Thermostatistics , 1988 .

[16]  G. Vojta,et al.  Extended Irreversible Thermodynamics , 1998 .

[17]  William G. Gray,et al.  Macroscale equilibrium conditions for two-phase flow in porous media , 2000 .

[18]  K. Denbigh,et al.  The Principles of Chemical Equilibrium , 1956 .

[19]  Jacob Bear,et al.  Macroscopic modelling of transport phenomena in porous media. 1: The continuum approach , 1986 .

[20]  L. Bennethum Multiscale, hybrid mixture theory for swelling systems with interfaces , 1994 .

[21]  T. Narasimhan On ‘General conservation equations for multiphase systems: 1. Averaging procedure’ by M. Hassanizadeh and W. G. Gray , 1980 .

[22]  V. Morozov,et al.  Basic concepts, kinetic theory , 1996 .

[23]  Charles-Michel Marle,et al.  On macroscopic equations governing multiphase flow with diffusion and chemical reactions in porous media , 1982 .

[24]  A. W. Neumann,et al.  Generalization of the classical theory of capillarity , 1977 .