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Extra info for Entropy, Absolute Temperature and Coldness in Thermodynamics: Boundary Conditions in Porous Materials

Example text

D' o (oc = 1,2) or + T that do not lie on the singular surface, while for points on the singular surface they are equivalent to the jump conditions The fields equations 39 (ex. =1,2) [ o ~"t'lt:""- u,. ] Toe. I " " " - [t~ e·] t" " = o (ex,= 1, 2) ' under rather general conditions. ei. ~. • X; and lt . What is needed are consti- tutive equations that relate t~, m~, S and qi. to the field of densities, motions and porosity in a materially dependent ner. , X-n m~ and at time t X~ and 1C in the whole body.

T .. a~~ )" "+ q...... · Co e {t'. = d' o (oc = 1,2) or + T that do not lie on the singular surface, while for points on the singular surface they are equivalent to the jump conditions The fields equations 39 (ex. =1,2) [ o ~"t'lt:""- u,. ] Toe. I " " " - [t~ e·] t" " = o (ex,= 1, 2) ' under rather general conditions. ei. ~. • X; and lt . What is needed are consti- tutive equations that relate t~, m~, S and qi. to the field of densities, motions and porosity in a materially dependent ner. , X-n m~ and at time t X~ and 1C in the whole body.

And we are on the safe side if we assillne that 90/, and JC en~er as independent variables. 6. Interface Boundary Conditions. Hydrologists and soil engineers are quite often interes~ed in what happens when a fluid between ~wo differen~ ~raverses the boundary porous materials I and II, and since there is some confusion as to the right boundary conditions, I proceed ~o derive these. So as not to complicate the argument with boundary conditions on little sugp_;estive quantiti'es like the flux of in- Part III - Porous materials 48 ternal energy, I choose to consider the special case that both solids have a constant but different porosity.

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