Summary The behaviour of unsaturated porous materials is described according to the procedure of FICK'S mixture theory. Hysteresis is included by use of the VOLTERRA'S integral form or by an approximative method using experimental results. Several mathematical models corresponding to physically significant situations are derived from the theory.

Milieux poreux non saturés et théorie des mixtures

https://www.tandfonline.com/doi/pdf/10.1080/02626666909493717

The theory of transport processes in gases—such as diffusion, heat conduction, and viscosity—is developed on the basis of the assumption that the molecules behave like point-centres of force. The method of investigation consists in calculating mean values of various functions of the velocity of all the molecules of a given kind within an element of volume, and the variations of these mean values due, first, to the encounters of the molecules with others of the same or a different kind; second, to the action of external forces such as gravity; and third, to the passage of molecules through the boundary of the element of volume.

Milieux poreux non saturés et théorie des mixtures

References

On the Dynamical Theory of Gases

Thermodynamics of materials with memory

A thermodynamic theory of mixtures of fluids

A Dynamical theory of interacting continua

On the entropy inequality