Jump and boundary conditions at interfaces
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| - | ===Mass | + | [[Image:Govern_(1).png|thumb|400 px|alt=Shape of the liquid-vapor interface near a vertical wall|<center>'''Shape of the liquid-vapor interface near a vertical wall.'''</center>]] |
| + | 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 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 figure), 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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| + | ==Mass== | ||
''See Main Article'' [[Conservation of mass at interface|Mass]] | ''See Main Article'' [[Conservation of mass at interface|Mass]] | ||
| - | + | ==Momentum== | |
''See Main Article'' [[Conservation of momentum at interface|Momentum]] | ''See Main Article'' [[Conservation of momentum at interface|Momentum]] | ||
| - | + | ==Energy== | |
''See Main Article'' [[Conservation of energy at interface|Energy]] | ''See Main Article'' [[Conservation of energy at interface|Energy]] | ||
| - | + | ==Mass Species== | |
''See Main Article'' [[Conservation of mass species at interface|Mass Species]] | ''See Main Article'' [[Conservation of mass species at interface|Mass Species]] | ||
| - | + | ==Supplementary Conditions== | |
''See Main Article'' [[Supplementary conditions at interfaces|Supplementary Conditions]] | ''See Main Article'' [[Supplementary conditions at interfaces|Supplementary Conditions]] | ||
Revision as of 09:42, 28 June 2010
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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 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 figure), as well as species balance in solid-liquid-vapor interfaces. For solid-liquid or solid-vapor interfaces, these jump conditions can be significantly simplified.
Contents |
Mass
See Main Article Mass
Momentum
See Main Article Momentum
Energy
See Main Article Energy
Mass Species
See Main Article Mass Species
Supplementary Conditions
See Main Article Supplementary Conditions