MassOutflowValue

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`MassOutflowValue`

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MassOutflowValue[pred,vars,pars]

represents a mass outflow boundary condition for PDEs with predicate pred indicating where it applies, with model variables vars and global parameters pars.

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MassOutflowValue[pred,vars,pars,lkey]

represents a mass outflow boundary condition with local parameters specified in pars[lkey].

Details

MassOutflowValue specifies a boundary condition for MassTransportPDEComponent and is used as part of the modeling equation:

MassOutflowValue is typically used to model a mass outlet for a convective mass transport where mass is transferred out of the domain by fluid flow.
Typically, the mass convection outweighs the mass diffusion, and a MassOutflowValue needs to be present.

MassOutflowValue models the rate of mass species flowing through some part of the boundary with dependent variable in [ $TemplateBox[{InterpretationBox[, 1], {"mol", , "/", , {"m", ^, 3}}, moles per meter cubed, {{(, "Moles", )}, /, {(, {"Meters", ^, 3}, )}}}, QuantityTF]$ ], independent variables in [] and time variable in [].
Stationary variables vars are vars={c[x₁,…,x_n],{x₁,…,x_n}}.
Time-dependent variables vars are vars={c[t,x₁,…,x_n],t,{x₁,…,x_n}}.
The non-conservative time-dependent mass transport model MassTransportPDEComponent is based on a convection-diffusion model with mass diffusivity , mass convection velocity vector , mass reaction rate and mass source term :

The conservative time-dependent mass transport model MassTransportPDEComponent is based on a conservative convection-diffusion model given by:

In the non-conservative form, MassOutflowValue with boundary unit normal models:

A MassOutflowValue is the implicit default boundary condition for the non-conservative model form.
In the conservative form, MassOutflowValue models:

MassOutflowValue only has an effect when the flow velocity is normal to the boundary.
Model parameters pars as specified for MassTransportPDEComponent.
The following additional model parameters pars can be given:
parameter default symbol

"BoundaryUnitNormal" Automatic

"ModelForm" "NonConservative"
MassOutflowValue evaluates to a NeumannValue.
The boundary predicate pred can be specified as in NeumannValue.
If the MassOutflowValue depends on parameters that are specified in the association pars as …,keyp_i…,p_iv_i,…], the parameters are replaced with .