Viscous flow and non-linear phenomena in non-equilibrium thermodynamics of membrane transport Part 2 — The phenomenological equations

Phenomenological equations are deduced which give the flows of matter, volume, charge and heat for a discontinuous system in which inertial terms in the viscous equations of motion are not negligible. It is found that the equations contain terms in the powers of the first-order affinities, with corresponding phenomenological coefficients. These coefficients can all be derived from first-order coefficients, however, and thus refer to a system which is close to equilibrium. The theory agrees with well-documented specific hydrodynamic calculations, but generalizes these in the framework of now equilibrium thermodynamics.