- •Why CFD is Important for Modeling
- •How the CFD Module Helps Improve Your Modeling
- •Model Builder Options for Physics Feature Node Settings Windows
- •Where Do I Access the Documentation and Model Library?
- •Typographical Conventions
- •Quick Start Guide
- •Modeling Strategy
- •Geometrical Complexities
- •Material Properties
- •Defining the Physics
- •Meshing
- •The Choice of Solver and Solver Settings
- •Coupling to Other Physics Interfaces
- •Adding a Chemical Species Transport Interface
- •Equation
- •Discretization
- •Transport Feature
- •Migration in Electric Field
- •Reactions
- •Reactions
- •Initial Values
- •Initial Values
- •Boundary Conditions for the Transport of Concentrated Species Interface
- •Mass Fraction
- •Mass Fraction
- •Flux
- •Inflow
- •Inflow
- •No Flux
- •Outflow
- •Flux Discontinuity
- •Flux Discontinuity
- •Symmetry
- •Open Boundary
- •Physical Model
- •Transport Properties
- •Model Inputs
- •Fluid Properties
- •Diffusion
- •Migration in Electric Field
- •Diffusion
- •Model Inputs
- •Density
- •Diffusion
- •Porous Matrix Properties
- •Porous Matrix Properties
- •Initial Values
- •Initial Values
- •Domain Features for the Reacting Flow, Concentrated Species Interface
- •Boundary Conditions for the Reacting Flow, Concentrated Species Interface
- •Reacting Boundary
- •Inward Flux
- •Physical Model
- •Transport Properties
- •Fluid Properties
- •Migration in Electric Field
- •Porous Matrix Properties
- •Initial Values
- •Domain Features for the Reacting Flow, Diluted Species Interface
- •Boundary Conditions for the Reacting Flow, Diluted Species Interface
- •Pair and Point Conditions for the Reacting Flow, Diluted Species Interface
- •Multicomponent Mass Transport
- •Multicomponent Diffusion: Mixture-Average Approximation
- •Multispecies Diffusion: Fick’s Law Approximation
- •Multicomponent Thermal Diffusion
- •References for the Transport of Concentrated Species Interface
- •Domain Equations
- •Combined Boundary Conditions
- •Effective Mass Transport Parameters in Porous Media
- •Selecting the Right Interface
- •The Single-Phase Flow Interface Options
- •Laminar Flow
- •Coupling to Other Physics Interfaces
- •The Laminar Flow Interface
- •Discretization
- •The Creeping Flow Interface
- •Discretization
- •Fluid Properties
- •Fluid Properties
- •Mixing Length Limit
- •Volume Force
- •Volume Force
- •Initial Values
- •Initial Values
- •The Turbulent Flow, Spalart-Allmaras Interface
- •The Rotating Machinery, Laminar Flow Interface
- •Rotating Domain
- •Rotating Domain
- •Initial Values
- •Initial Values
- •Rotating Wall
- •Wall
- •Boundary Condition
- •Interior Wall
- •Boundary Condition
- •Inlet
- •Boundary Condition
- •Velocity
- •Pressure, No Viscous Stress
- •Normal Stress
- •Outlet
- •Boundary Condition
- •Pressure
- •Laminar Outflow
- •No Viscous Stress
- •Vacuum Pump
- •Symmetry
- •Open Boundary
- •Boundary Stress
- •Boundary Condition
- •Periodic Flow Condition
- •Flow Continuity
- •Pressure Point Constraint
- •Non-Newtonian Flow—The Power Law and the Carreau Model
- •Theory for the Pressure, No Viscous Stress Boundary Condition
- •Theory for the Laminar Inflow Condition
- •Theory for the Laminar Outflow Condition
- •Theory for the Slip Velocity Wall Boundary Condition
- •Theory for the Vacuum Pump Outlet Condition
- •Theory for the No Viscous Stress Condition
- •Theory for the Mass Flow Inlet Condition
- •Turbulence Modeling
- •Eddy Viscosity
- •Wall Functions
- •Initial Values
- •Wall Distance
- •Inlet Values for the Turbulence Length Scale and Intensity
- •Initial Values
- •The Spalart-Allmaras Turbulence Model
- •Inlet Values for the Turbulence Length Scale and Intensity
- •Pseudo Time Stepping for Turbulent Flow Models
- •References for the Single-Phase Flow, Turbulent Flow Interfaces
- •Selecting the Right Interface
- •Coupling to Other Physics Interfaces
- •Discretization
- •Fluid-Film Properties
- •Initial Values
- •Initial Values
- •Inlet
- •Outlet
- •Wall
- •Symmetry
- •Discretization
- •Initial Values
- •Initial Values
- •Fluid-Film Properties
- •Border
- •Inlet
- •Outlet
- •Conditions for Film Damping
- •The Reynolds Equation
- •Structural Loads
- •Gas Outflow Conditions
- •Rarefaction and Slip Effects
- •Geometry Orientations
- •References for the Thin-Film Flow Interfaces
- •Selecting the Right Interface
- •The Multiphase Flow Interface Options
- •The Relationship Between the Interfaces
- •Bubbly Flow
- •Coupling to Other Physics Interfaces
- •The Laminar Two-Phase Flow, Level Set Interface
- •Discretization
- •The Laminar Two-Phase Flow, Phase Field Interface
- •Domain Level Settings for the Level Set and Phase Field Interfaces
- •Fluid Properties
- •Mixing Length Limit
- •Initial Values
- •Initial Values
- •Volume Force
- •Volume Force
- •Gravity
- •Boundary Conditions for the Level Set and Phase Field Interfaces
- •Wall
- •Boundary Condition
- •Initial Interface
- •The Turbulent Flow, Two-Phase Flow, Level Set Interface
- •The Turbulent Two-Phase Flow, Phase Field Interface
- •Wall Distance Interface and the Distance Equation
- •Level Set and Phase Field Equations
- •Conservative and Non-Conservative Formulations
- •Phase Initialization
- •Numerical Stabilization
- •References for the Level Set and Phase Field Interfaces
- •Stabilization
- •Discretization
- •Level Set Model
- •Initial Values
- •Initial Values
- •Boundary Conditions for the Level Set Function
- •Inlet
- •Initial Interface
- •No Flow
- •Outlet
- •Symmetry
- •Discretization
- •Initial Values
- •Initial Values
- •Phase Field Model
- •Boundary Conditions for the Phase Field Function
- •Initial Interface
- •Inlet
- •Wetted Wall
- •Wetted Wall
- •Outlet
- •The Level Set Method
- •Conservative and Non-Conservative Form
- •Initializing the Level Set Function
- •Variables For Geometric Properties of the Interface
- •Reference for the Level Set Interface
- •About the Phase Field Method
- •The Equations for the Phase Field Method
- •Conservative and Non-Conservative Forms
- •Additional Sources of Free Energy
- •Variables and Expressions
- •Reference For the Phase Field Interface
- •The Laminar Bubbly Flow Interface
- •Reference Pressure
- •Discretization
- •The Turbulent Bubbly Flow Interface
- •Reference Pressure
- •Discretization
- •Fluid Properties
- •Slip Model
- •Initial Values
- •Initial Values
- •Volume Force
- •Volume Force
- •Gravity
- •Gravity
- •Mass Transfer
- •Mass Transfer
- •Boundary Conditions for the Bubbly Flow Interfaces
- •Wall
- •Liquid Boundary Condition
- •Gas Boundary Condition
- •Inlet
- •Liquid Boundary Condition
- •Gas Boundary Condition
- •Outlet
- •Liquid Boundary Condition
- •Gas Boundary Condition
- •Symmetry
- •Gas Boundary Conditions Equations
- •The Mixture Model, Laminar Flow Interface
- •Stabilization
- •Discretization
- •The Mixture Model, Turbulent Flow Interface
- •Stabilization
- •Mixture Properties
- •Mass Transfer
- •Mass Transfer
- •Initial Values
- •Initial Values
- •Volume Force
- •Volume Force
- •Gravity
- •Gravity
- •Boundary Conditions for the Mixture Model Interfaces
- •Wall
- •Mixture Boundary Condition
- •Dispersed Phase Boundary Condition
- •Inlet
- •Mixture Boundary Condition
- •Dispersed Phase Boundary Condition
- •Outlet
- •Mixture Boundary Condition
- •Symmetry
- •The Bubbly Flow Equations
- •Turbulence Modeling in Bubbly Flow Applications
- •References for the Bubbly Flow Interfaces
- •The Mixture Model Equations
- •Dispersed Phase Boundary Conditions Equations
- •Turbulence Modeling in Mixture Models
- •Slip Velocity Models
- •References for the Mixture Model Interfaces
- •Dispersed Phase
- •Discretization
- •Domain Conditions for the Euler-Euler Model, Laminar Flow Interface
- •Phase Properties
- •Solid Viscosity Model
- •Drag Model
- •Solid Pressure Model
- •Initial Values
- •Boundary, Point, and Pair Conditions for the Euler-Euler Model, Laminar Flow Interface
- •Wall
- •Dispersed Phase Boundary Condition
- •Inlet
- •Two-Phase Inlet Type
- •Continuous Phase
- •Dispersed Phase
- •Outlet
- •Mixture Boundary Condition
- •The Euler-Euler Model Equations
- •References for the Euler-Euler Model, Laminar Flow Interface
- •Selecting the Right Interface
- •The Porous Media Flow Interface Options
- •Coupling to Other Physics Interfaces
- •Discretization
- •Fluid and Matrix Properties
- •Mass Source
- •Mass Source
- •Initial Values
- •Initial Values
- •Boundary Conditions for the Darcy’s Law Interface
- •Pressure
- •Pressure
- •Mass Flux
- •Mass Flux
- •Inflow Boundary
- •Inflow Boundary
- •Symmetry
- •No Flow
- •Discretization
- •Fluid and Matrix Properties
- •Volume Force
- •Volume Force
- •Forchheimer Drag
- •Forchheimer Drag
- •Initial Values
- •Initial Values
- •Mass Source
- •Boundary Conditions for the Brinkman Equations Interface
- •Discretization
- •Fluid Properties
- •Porous Matrix Properties
- •Porous Matrix Properties
- •Forchheimer Drag
- •Forchheimer Drag
- •Volume Force
- •Volume Force
- •Initial Values
- •Initial Values
- •Boundary Conditions for the Free and Porous Media Flow Interface
- •Microfluidic Wall Conditions
- •Boundary Condition
- •Discretization
- •Domain, Boundary, and Pair Conditions for the Two-Phase Darcy’s Law Interface
- •Fluid and Matrix Properties
- •Initial Values
- •Initial Values
- •No Flux
- •Pressure and Saturation
- •Pressure and Saturation
- •Mass Flux
- •Inflow Boundary
- •Inflow Boundary
- •Outflow
- •Pressure
- •Darcy’s Law—Equation Formulation
- •About the Brinkman Equations
- •Brinkman Equations Theory
- •References for the Brinkman Equations Interface
- •Reference for the Free and Porous Media Flow Interface
- •Darcy’s Law—Equation Formulation
- •The High Mach Number Flow, Laminar Flow Interface
- •Surface-to-Surface Radiation
- •Discretization
- •Initial Values
- •Initial Values
- •Shared Interface Features
- •Fluid
- •Dynamic Viscosity
- •Inlet
- •Outlet
- •Consistent Inlet and Outlet Conditions
- •Pseudo Time Stepping for High Mach Number Flow Models
- •References for the High Mach Number Flow Interfaces
- •Selecting the Right Interface
- •The Non-Isothermal Flow Interface Options
- •Coupling to Other Physics Interfaces
- •The Non-Isothermal Flow, Laminar Flow Interface
- •Discretization
- •The Conjugate Heat Transfer, Laminar Flow Interface
- •The Turbulent Flow, Spalart-Allmaras Interface
- •Fluid
- •Dynamic Viscosity
- •Wall
- •Boundary Condition
- •Initial Values
- •Pressure Work
- •Viscous Heating
- •Dynamic Viscosity
- •Turbulent Non-Isothermal Flow Theory
- •References for the Non-Isothermal Flow and Conjugate Heat Transfer Interfaces
- •Selecting the Right Interface
- •The Heat Transfer Interface Options
- •Conjugate Heat Transfer, Laminar Flow
- •Conjugate Heat Transfer, Turbulent Flow
- •Coupling to Other Physics Interfaces
- •Accessing the Heat Transfer Interfaces via the Model Wizard
- •Discretization
- •Heat Transfer in Solids
- •Translational Motion
- •Translational Motion
- •Pressure Work
- •Heat Transfer in Fluids
- •Viscous Heating
- •Dynamic Viscosity
- •Heat Source
- •Heat Source
- •Initial Values
- •Initial Values
- •Boundary Conditions for the Heat Transfer Interfaces
- •Temperature
- •Temperature
- •Thermal Insulation
- •Outflow
- •Symmetry
- •Heat Flux
- •Heat Flux
- •Inflow Heat Flux
- •Inflow Heat Flux
- •Open Boundary
- •Periodic Heat Condition
- •Surface-to-Ambient Radiation
- •Boundary Heat Source
- •Boundary Heat Source
- •Heat Continuity
- •Pair Thin Thermally Resistive Layer
- •Pair Thin Thermally Resistive Layer
- •Thin Thermally Resistive Layer
- •Thin Thermally Resistive Layer
- •Line Heat Source
- •Line Heat Source
- •Point Heat Source
- •Convective Cooling
- •Out-of-Plane Convective Cooling
- •Upside Heat Flux
- •Out-of-Plane Radiation
- •Upside Parameters
- •Out-of-Plane Heat Flux
- •Domain Selection
- •Upside Inward Heat Flux
- •Change Thickness
- •Change Thickness
- •Porous Matrix
- •Heat Transfer in Fluids
- •Thermal Dispersion
- •Dispersivities
- •Heat Source
- •Equation Formulation
- •Activating Out-of-Plane Heat Transfer and Thickness
practical reasons, it is seldom possible to make the mesh twice as fine in each direction. Instead, some critical regions can be selected and the mesh refined there.
The Choice of Solver and Solver Settings
The solvers and settings for the fluid flow interfaces are automatically selected for this purpose. They have been optimized for a large variety of fluid-flow conditions and applications.
Yet, adjustments may sometimes be required. Like the previously discussed parameters, start simply and increase the complexity. Testing the solver and settings is done primarily by simplifying a lot of the previous parameters, such as the number of physics to solve for, or the size of the material property values.
Once you are confident with a solver and its settings for a simplified description of the model, increase complexity and adjust the solver settings accordingly. Always, if you can, compare with known results from similar systems.
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• Study Types in the COMSOL Multiphysics Reference Guide |
See Also |
• Available Study Types in the COMSOL Multiphysics User’s Guide |
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36 | C H A P T E R 2 : Q U I C K S T A R T G U I D E
T h e C F D M o d u l e P h y s i c s I n t e r f a c e s
The table below shows the fluid-flow physics interfaces available with the CFD Module. The various types of momentum transport include laminar and turbulent flow, Newtonian and non-Newtonian flow, isothermal and non-isothermal flow, multiphase flow, and flow in porous media.
The Conjugate Heat Transfer Laminar Flow (nitf) and Turbulent Flow (nitf) interfaces found under the Heat Transfer branch are identical to the
Non-Isothermal Flow interfaces. The only difference is that Heat transfer
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• Study Types in the COMSOL Multiphysics Reference Guide |
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See Also |
• Available Study Types in the COMSOL Multiphysics User’s Guide |
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PHYSICS INTERFACE |
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ICON |
TAG |
SPACE |
PRESET STUDIES |
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DIMENSION |
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Chemical Species Transport |
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Transport of Concentrated |
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chcs |
all dimensions |
stationary; time |
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Species |
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dependent |
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Reacting Flow, Concentrated |
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rfcs |
3D, 2D, 2D |
stationary; time |
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Species |
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axisymmetric |
dependent |
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Reacting Flow, Diluted Species |
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rfds |
3D, 2D, 2D |
stationary; time |
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axisymmetric |
dependent |
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Fluid Flow |
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Single-Phase Flow |
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Single-Phase Flow, Laminar Flow* |
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spf |
3D, 2D, 2D |
stationary; time |
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axisymmetric |
dependent |
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Turbulent Flow, k- |
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spf |
3D, 2D, 2D |
stationary; time |
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axisymmetric |
dependent |
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T H E C F D M O D U L E P H Y S I C S I N T E R F A C E S | 37
PHYSICS INTERFACE |
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TAG |
SPACE |
PRESET STUDIES |
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Turbulent Flow, k- |
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spf |
3D, 2D, 2D |
stationary; time |
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axisymmetric |
dependent |
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Turbulent Flow, Low Re k- |
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spf |
3D, 2D, 2D |
stationary with |
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axisymmetric |
initialization; |
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transient with |
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Turbulent Flow, Spalart-Allmaras |
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spf |
3D, 2D, 2D |
stationary with |
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initialization; |
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transient with |
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Creeping Flow |
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spf |
3D, 2D, 2D |
stationary; time |
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axisymmetric |
dependent |
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Rotating Machinery, Laminar Flow |
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3D, 2D |
time dependent |
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Rotating Machinery, Turbulent |
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3D, 2D |
time dependent |
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Thin-Film Flow |
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Lubrication Shell |
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3D, 2D, 2D |
stationary; |
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axisymmetric |
eigenfrequency; |
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frequency domain; |
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frequency domain |
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modal; time |
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dependent; time |
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dependent modal; |
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frequency-domain, |
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perturbation |
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Thin-Film Flow |
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3D, 2D, 2D |
stationary; |
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eigenfrequency; |
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frequency domain; |
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frequency domain |
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modal; time |
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perturbation |
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38 | C H A P T E R 2 : Q U I C K S T A R T G U I D E
PHYSICS INTERFACE |
ICON |
TAG |
SPACE |
PRESET STUDIES |
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DIMENSION |
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Multiphase Flow |
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Bubbly Flow |
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Laminar Bubbly Flow |
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bf |
3D, 2D, 2D |
stationary; time |
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axisymmetric |
dependent |
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Turbulent Bubbly Flow |
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bf |
3D, 2D, 2D |
stationary; time |
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axisymmetric |
dependent |
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Mixture Model |
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Mixture Model, Laminar Flow |
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3D, 2D, 2D |
stationary; time |
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axisymmetric |
dependent |
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Mixture Model, Turbulent Flow |
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3D, 2D, 2D |
stationary; time |
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axisymmetric |
dependent |
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Euler-Euler Model |
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Euler-Euler Model, Laminar Flow |
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ee |
3D, 2D, 2D |
stationary; time |
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axisymmetric |
dependent |
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Two-Phase Flow, Level Set |
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Laminar Two-Phase Flow, Level Set |
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tpf |
3D, 2D, 2D |
transient with |
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initialization |
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Turbulent Two-Phase Flow, Level |
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tpf |
3D, 2D, 2D |
transient with |
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axisymmetric |
initialization |
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Two-Phase Flow, Phase Field |
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Laminar Two-Phase Flow, Phase |
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tpf |
3D, 2D, 2D |
transient with |
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axisymmetric |
initialization |
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Turbulent Two-Phase Flow, Phase |
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tpf |
3D, 2D, 2D |
transient with |
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axisymmetric |
initialization |
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T H E C F D M O D U L E P H Y S I C S I N T E R F A C E S | 39
PHYSICS INTERFACE |
ICON |
TAG |
SPACE |
PRESET STUDIES |
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DIMENSION |
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Porous Media and Subsurface Flow |
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Brinkman Equations |
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br |
3D, 2D, 2D |
stationary; time |
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axisymmetric |
dependent |
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Darcy’s Law |
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dl |
all dimensions |
stationary; time |
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dependent |
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Free and Porous Media Flow |
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fp |
3D, 2D, 2D |
stationary; time |
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axisymmetric |
dependent |
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Two-Phase Darcy’s Law |
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tpdl |
3D, 2D, 2D |
stationary; time |
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axisymmetric |
dependent |
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Non-Isothermal Flow |
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Laminar Flow |
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nitf |
3D, 2D, 2D |
stationary; time |
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axisymmetric |
dependent |
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Turbulent Flow, k- |
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nitf |
3D, 2D, 2D |
stationary; time |
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axisymmetric |
dependent |
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Turbulent Flow, k- |
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nitf |
3D, 2D, 2D |
stationary; time |
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axisymmetric |
dependent |
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Turbulent Flow, Low Re k- |
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nitf |
3D, 2D, 2D |
stationary with |
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axisymmetric |
initialization; |
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transient with |
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initialization |
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Turbulent Flow, Spalart-Allmaras |
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nitf |
3D, 2D, 2D |
stationary with |
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axisymmetric |
initialization; |
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transient with |
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initialization |
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High Mach Number Flow |
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Laminar Flow |
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hmnf |
3D, 2D, 2D |
stationary; time |
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axisymmetric |
dependent |
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Turbulent Flow, k- |
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hmnf |
3D, 2D, 2D |
stationary; time |
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axisymmetric |
dependent |
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40 | C H A P T E R 2 : Q U I C K S T A R T G U I D E
PHYSICS INTERFACE |
ICON |
TAG |
SPACE |
PRESET STUDIES |
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DIMENSION |
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Turbulent Flow, Spalart-Allmaras |
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hmnf |
3D, 2D, 2D |
stationary with |
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axisymmetric |
initialization; |
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transient with |
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initialization |
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Heat Transfer |
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Heat Transfer in Fluids* |
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ht |
all dimensions |
stationary; time |
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dependent |
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Heat Transfer in Porous Media |
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ht |
all dimensions |
stationary; time |
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dependent |
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Conjugate Heat Transfer |
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Laminar Flow |
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nitf |
3D, 2D, 2D |
stationary; time |
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axisymmetric |
dependent |
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Turbulent Flow, k- |
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nitf |
3D, 2D, 2D |
stationary; time |
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axisymmetric |
dependent |
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Turbulent Flow, k- |
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nitf |
3D, 2D, 2D |
stationary; time |
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axisymmetric |
dependent |
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Turbulent Flow, Low Re k- |
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nitf |
3D, 2D, 2D |
stationary with |
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axisymmetric |
initialization; |
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transient with |
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initialization |
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Turbulent Flow, Spalart-Allmaras |
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nitf |
3D, 2D, 2D |
stationary with |
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axisymmetric |
initialization; |
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transient with |
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initialization |
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Mathematics |
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Moving Interface |
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Level Set |
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ls |
all dimensions |
transient with |
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initialization |
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T H E C F D M O D U L E P H Y S I C S I N T E R F A C E S | 41
PHYSICS INTERFACE |
ICON |
TAG |
SPACE |
PRESET STUDIES |
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DIMENSION |
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Phase Field |
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pf |
all dimensions |
time dependent |
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* An enhanced interface is one that is included with the base COMSOL package but has added functionality for this Module.
42 | C H A P T E R 2 : Q U I C K S T A R T G U I D E
3
C h e m i c a l S p e c i e s T r a n s p o r t B r a n c h
The physics interfaces in the Chemical Species Transport branch () in the Model Wizard accommodate all types of material transport that can occur through diffusion, convection and migration due to an electric field—either alone or in combination with one another. Also available is The Transport of Diluted Species Interface, which is described in the COMSOL Multiphysics User’s Guide. The Mechanisms for Chemical Species Transport helps you choose the best one to start with.
In this chapter:
•The Transport of Concentrated Species Interface
•The Reacting Flow, Concentrated Species Interface
•The Reacting Flow, Diluted Species Interface
•Theory for the Transport of Concentrated Species Interface
•Theory for the Reacting Flow, Concentrated Species Interface
•Theory for the Reacting Flow, Diluted Species Interface
43
T h e M e c h a n i s m s f o r C h e m i c a l S p e c i e s T r a n s p o r t
The behavior of chemical reactions in real environments is often not adequately described by the assumptions of perfectly mixed or controlled environments. This means that the transport of material through both time and space need to be considered. Physics interfaces in the Chemical Species Transport branch accommodate all types of material transport that can occur through diffusion, convection and migration due to an electric field—either alone or in combination with one another. The branch includes interfaces solving for diluted as well as concentrated mixtures, where the species propagation may occur in solids, free flowing fluids, or through porous media.
The Transport of Diluted Species Interface () (described in the COMSOL Multiphysics User’s Guide) is applicable for solutions (either fluid or solid) where the transported species have concentrations at least one order of magnitude less than their solvent. The settings for this physics interface can be chosen so as to simulate chemical species transport through diffusion (Fick’s law), convection (when coupled to fluid flow), and migration (when coupled to an electric field—electrokinetic flow). Further information is also in Theory for the Transport of Diluted Species Interface in the
COMSOL Multiphysics User’s Guide.
The Transport of Concentrated Species Interface () is used for modeling transport within mixtures where a no one component is clearly dominant. Often the concentrations of the participating species are of the same order of magnitude, and the molecular effects of respective species on each other needs to be considered. This interface supports transport through Fickian diffusion, a mixture average diffusion model, and as described by the Maxwell-Stefan equations.
The Reacting Flow, Concentrated Species Interface () combines the Transport of Concentrated Species and the Free and Porous Media Flow interfaces. This means that mass and momentum transport can be modeled from a single physics interface, with the couplings between velocity field and mixture density set up automatically. Also, the effective transport coefficients in a porous matrix domain are derived based on the corresponding values in for a non-porous domain. This interface is applicable for fluid flow in the laminar regime.
44 | C H A P T E R 3 : C H E M I C A L S P E C I E S T R A N S P O R T B R A N C H