# Jump and boundary conditions at interfaces

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 Revision as of 20:59, 9 November 2009 (view source) (Created page with '===Mass=== ''See Main Article'' Mass ===Momentum=== ''See Main Article'' Momentum ===Energy=== '…')← Older edit Revision as of 09:42, 28 June 2010 (view source)Newer edit → Line 1: Line 1: - ===Mass=== + [[Image:Govern_(1).png|thumb|400 px|alt=Shape of the liquid-vapor interface near a vertical wall|
'''Shape of the liquid-vapor interface near a vertical wall.'''
]] + 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. + + ==Mass== ''See Main Article'' [[Conservation of mass at interface|Mass]] ''See Main Article'' [[Conservation of mass at interface|Mass]] - ===Momentum=== + ==Momentum== ''See Main Article'' [[Conservation of momentum at interface|Momentum]] ''See Main Article'' [[Conservation of momentum at interface|Momentum]] - ===Energy=== + ==Energy== ''See Main Article'' [[Conservation of energy at interface|Energy]] ''See Main Article'' [[Conservation of energy at interface|Energy]] - ===Mass Species=== + ==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=== + ==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

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.

## 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