On the derivation of thermodynamically consistent boundary conditions for Korteweg type fluids

by · Sep 25, 2014 · 1 132 views ·

Ondřej Souček, Charles University in Prague, Faculty of Mathematics and Physics, Prague, Czech Republic Joint work with Martin Heida, Josef Málek We present derivation of thermodynamically consistent boundary conditions for a fluid model of Korteweg type. The derivation benefits from exploiting the local form of balance laws at singular surfaces which naturally provides coupling of surface terms with the corresponding bulk fluxes. By establishing a suitable constitutive ansatz for surface free energy, the local form of the second law of thermodynamics then allows a thermodynamically consistent closure of the remaining constitutive functionals.

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