Von Smoluchowski Slip Model Reference

The von Smoluchowski Slip model allows you to model a temperature slip at the wall. It is applied in conjunction with the Maxwell Slip model.

Theory See Theory Guide—Wall: Partial-Slip Wall.
Provided by [physics continuum] > Models > Optional Models
Example Node Path Continua > Physics 1 > Models > von Smoluchowski Slip
Requires
  • Material: Gas or Multi-Component Gas
  • Flow: any
  • Viscous Regime: Laminar
  • Optional Models: Maxwell Slip
  • Optional Models: an Energy model
Activates Material Properties Thermal Accommodation Factor

See Material Properties.

Boundary Inputs See Boundary Settings.
Field Functions Slip Temperature. See Field Functions.

Material Properties

Thermal Accommodation Factor
σ t in Eqn. (845). For multi-component gases, this value is calculated as a mass-weighted average of the gas components. The value must be in the range from 0 through 1.

Boundary Settings

Wall
Setting the following boundary inputs applies the von Smoluchowski Slip model to a specific wall boundary:
Shear Stress Specification
Defines how a wall surface acts on a fluid passing across it.
Method Corresponding Physics Value Nodes
Partial-Slip

Applies the von Smoluchowski Slip model to the wall boundary.

None.
Thermal Specification
Defines how the energy flow across the boundary is specified. Set one of the following methods:
Method Corresponding Physics Value Nodes
Heat Flux
Heat Flux
Specifies the amount of energy flowing across the boundary in W/m2.
A positive specified heat flux value q means that heat is flowing into the domain. This is opposite to the convention that the boundary heat flux q w = q n is negative for an inflow of heat (due to outward pointing surface normals at boundaries). The sign of q is switched at this point.
Temperature
Static Temperature
Specifies the boundary temperature in K.
Adiabatic

Specifies that there is no energy transfer across the boundary.

None.
Convection

Specifies convection flux across the boundary in W/m2.

Ambient Temperature
Specifies the ambient temperature in K.
Heat Transfer Coefficient
Specifies the heat transfer coefficient in W/m2K.
Thermal Resistance
Specifies the wall thermal resistance. The resistance can be specified as a total wall resistance in m2K/W or as a multi-layer resistance.

Field Functions

Slip Temperature
The slip temperature at wall faces.