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Physically correct boundary conditions on vapor-liquid interfaces
are essential in order to make an analysis of flows of a liquid
including bubbles or of a gas including droplets. Suitable boundary
conditions do not exist at the present time. This book is concerned
with the kinetic boundary condition for both the plane and curved
vapor-liquid interfaces, and the fluid dynamics boundary condition
for Navier-Stokes(fluid dynamics) equations. The kinetic boundary
condition is formulated on the basis of molecular dynamics
simulations and the fluid dynamics boundary condition is derived by
a perturbation analysis of Gaussian-BGK Boltzmann equation
applicable to polyatomic gases. The fluid dynamics boundary
condition is applied to actual flow problems of bubbles in a liquid
and droplets in a gas.
Physically correct boundary conditions on vapor-liquid interfaces
are essential in order to make an analysis of flows of a liquid
including bubbles or of a gas including droplets. Suitable boundary
conditions do not exist at the present time. This book is concerned
with the kinetic boundary condition for both the plane and curved
vapor-liquid interfaces, and the fluid dynamics boundary condition
for Navier-Stokes(fluid dynamics) equations. The kinetic boundary
condition is formulated on the basis of molecular dynamics
simulations and the fluid dynamics boundary condition is derived by
a perturbation analysis of Gaussian-BGK Boltzmann equation
applicable to polyatomic gases. The fluid dynamics boundary
condition is applied to actual flow problems of bubbles in a liquid
and droplets in a gas.
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