Kinetic derivation of diffuse-interface fluid models
Vincent Giovangigli∥
Abstract
We present a full derivation of capillary fluid equations from the kinetic theory of dense gases. These equations involve van der Waals' gradient energy, Korteweg's tensor, and Dunn and Serrin's heat flux as well as viscous and heat dissipative fluxes. Starting from macroscopic equations obtained from the kinetic theory of dense gases, we use a second-order expansion of the pair distribution function in order to derive the diffuse interface model. The capillary extra terms and the capillarity coefficient are then associated with intermolecular forces and the pair interaction potential.
Topics & Concepts
Dissipative systemKinetic energyvan der Waals forceTensor (intrinsic definition)Capillary actionKinetic theoryPhysicsIntermolecular forceHeat fluxClassical mechanicsDistribution functionMechanicsThermodynamicsHeat transferMathematicsGeometryQuantum mechanicsMoleculeGas Dynamics and Kinetic TheoryFluid Dynamics and Turbulent FlowsPhase Equilibria and Thermodynamics