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.
This book presents an analysis of our current knowledge on the origin of the Earth’s continental crust. There are two aspects to consider: tectonic and igneous processes. Tectonic aspects include sedimentary accretion, terrane accretion, and continental collision at continental margins, in association with plate subduction. These processes result in the formation of large mountain belts, the building up of which literally grows the continents. However, these tectonic aspects are concerned with material recycling within the crust, and hence do not contribute to volumetric growth of continental crust. Igneous processes concern separation of continental crust from the mantle and result in the volumetric growth of continental crust. Therefore, the main focus of this book is to systematically examine why and how the Earth’s continental crust forms, by evaluating magmatic processes at island arcs where new continental crust forms.
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