Classification of boundary conditions

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The conservation equations introduced above can be applied within each phase and up to an interface. However, they are not valid across the interface, where sharp changes in various properties occur. Appropriate boundary conditions at the interface must be specified in order to solve the governing equations for heat, mass, and momentum transfer in the two adjoining phases. The interface conditions will serve as boundary conditions for the transport equations

Insert Image Figure 1 Shape of the liquid-vapor interface near a vertical wall.

in the adjacent phases. Jump conditions at the interface can be obtained by applying the basic laws (conservation of mass, momentum, energy, and the second law of thermodynamics) at the interface. It is the objective of this subsection to specify mass, momentum, and energy balance at a non-flat liquid-vapor interface (see Fig. 1), as well as species balance in solid-liquid-vapor interfaces. For solid-liquid or solid-vapor interfaces, these jump conditions can be significantly simplified.


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