Nonisothermal Flow
Use the Nonisothermal Flow multiphysics coupling () to simulate fluid flows where the fluid properties depend on temperature. Models can also include heat transfer in solids or in porous media as well as surface-to-surface radiation and radiation in participating media, with the Heat Transfer Module. The physics interface supports low Mach numbers (typically less than 0.3).
The Nonisothermal Flow, Laminar Flow interface solves for conservation of energy, mass, and momentum in fluids and porous media and for conservation of energy in solids.
It defines p and u variables in order to set the Absolute pressure in the Model Input section and the Velocity field in the Heat Convection section of the Fluid feature and subfeature, in the Heat Transfer interface. In addition, it provides all the fluids quantities that may be needed by the Heat Transfer interface (for example, viscosity, turbulence parameters).
In the Fluid Flow interface, it sets the Temperature in the Model Input section and defines the Density in the Fluid Properties section of the Fluid Properties and Fluid and Matrix Properties features.
It synchronizes also the definition of the reference temperature to be used for incompressible flows, and the features from the Heat Transfer and Fluid Flow interfaces when a turbulent flow regime is defined. It also complements the Screen and Interior Fan feature from the flow interface to account for thermal effects.
In addition, it also accounts for the multiphysics stabilization terms, for the heat transfer changes in the turbulent regime (for example, thermal wall functions), for work due to pressure forces and viscous dissipation, and for natural convection, including a Boussinesq approximation.
The Nonisothermal Flow coupling node triggers pseudo time stepping when Use pseudo time stepping for stationary equation form in the Fluid Flow interface is set to Automatic from physics.
The multiphysics stabilizations (streamline diffusion and crosswind diffusion) are controlled by the Fluid Flow interface. For example, the multiphysics streamline diffusion can be disabled in a Laminar Flow physics node, in the Stabilization section. The stabilization selected in the Heat Transfer interface has no effect if the multiphysics coupling stabilization is active but remains active if not. However, the isotropic diffusion is not a multiphysics stabilization and is controlled by each physics interface.
Finally, when one of the physics interfaces or the multiphysics coupling is not solved in a study step, then the stabilization of each solved physics is used instead of the coupled stabilization, and the solver suggestions are uncoupled.
The pressure, velocity, and temperature variables of the Nonisothermal Flow coupling node are set to the Common Model Input values of the Default Model Inputs node on its complementary selection, that is, all domains except those from the Selection list. It allows to couple multiple fluid flow interfaces with a single heat transfer interface. See Default Model Inputs in the COMSOL Multiphysics Reference Manual for details.
Settings
The Label is the default multiphysics coupling feature name.
The Name is used primarily as a scope prefix for variables defined by the coupling node. Refer to such variables in expressions using the pattern <name>.<variable_name>. In order to distinguish between variables belonging to different coupling nodes or physics interfaces, the name string must be unique. Only letters, numbers, and underscores (_) are permitted in the Name field. The first character must be a letter.
The default Name (for the first multiphysics coupling feature in the model) is nitf1.
Domain Selection
The Nonisothermal Flow coupling node selection is locked to the union of
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the intersection of the Fluid or Moist Air features’ selection with the Fluid Properties feature’s selection
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the intersection of the Porous Medium feature’s selection with the Fluid and Matrix Properties feature’s selection
Coupled Interfaces
This section defines the physics involved in the multiphysics coupling. The Fluid flow and Heat transfer lists include all applicable physics interfaces.
The default values depend on how this coupling node is created.
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If it is added from the Physics ribbon (Windows users), Physics contextual toolbar (Mac and Linux users), or context menu (all users), then the first physics interface of each type in the component is selected as the default.
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If it is added automatically when a multiphysics interface is chosen in the Model Wizard or Add Physics window, then the two participating physics interfaces are selected.
You can also select None from either list to uncouple the node from a physics interface. If the physics interface is removed from the Model Builder — for example, Heat Transfer in Fluids is deleted — then the Heat transfer list defaults to None as there is nothing to couple to.
Heat Transfer Turbulence Model
This section is available when the fluid flow interface uses a turbulence model. Select an option from the Heat transport turbulence model list: Kays–Crawford (the default), Extended Kays–Crawford, or User-defined turbulent Prandtl number.
For Extended Kays–Crawford, enter a Reynolds number at infinity Reinf (dimensionless).
For User-defined turbulent Prandtl number, enter a Turbulent Prandtl number PrT (dimensionless).
When the flow interface uses a RANS turbulence model, the conductive heat flux is defined as
with the turbulent thermal conductivity defined as
where μT is defined by the flow interface, and PrT depends on the Heat transport turbulence model. See Turbulent Conductivity for details.
The Turbulence model type used by the fluid flow interface can be displayed by selecting the Show or Hide Physics Property Settings button at the right of the Fluid flow list.
Material Properties
Boussinesq Approximation
When the Compressibility setting in the fluid flow interface is set to Incompressible, select the Boussinesq approximation check box in order to use material data evaluated at the reference temperature and reference pressure. If gravity is included in the physics, it is linearized with respect to temperature.
Density
Select an option from the Specify density list: From heat transfer interface (the default), From fluid flow interface, Custom, linearized density, or Custom:
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For From heat transfer interface: define the Density ρ in the Thermodynamics, Fluid section of the Fluid node, in the Heat Transfer coupled interface. Depending on the Fluid type option in this node, the density may bet taken from material, set directly, or computed by using the ideal gas law. The same value is automatically set in the Fluid Properties section of the Fluid Properties node, in the Fluid Flow coupled interface.
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For From fluid flow interface: define the Density ρ in the Fluid Properties section of the Fluid Properties node, in the Fluid Flow coupled interface. The same value is automatically set in the Thermodynamics, Fluid section of the Fluid node, in the Heat Transfer coupled interface.
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For Custom, linearized density, enter the Reference density ρref (SI unit: kg/m3) and the Coefficient of thermal expansion αp(SI unit:1/K), or select From material, or select a variable in the list if available. Regardless how the properties are defined they should be constant. If material properties are not constant you should consider using any of the other options to define the density. Also, if Custom, linearized density is used for incompressible flow, the density ρ is evaluated to ρref. In this case αp is not used unless Boussinesq approximation is selected. The same value is automatically set in the Fluid Properties section of the Fluid Properties node, in the Fluid Flow coupled interface, and in the Thermodynamics, Fluid section of the Fluid node, in the Heat Transfer coupled interface.
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For Custom, enter a Density ρ (SI unit: kg/m3), or select a density in the list if available. The same value is automatically set in the Fluid Properties section of the Fluid Properties node, in the Fluid Flow coupled interface, and in the Thermodynamics, Fluid section of the Fluid node, in the Heat Transfer coupled interface.
See Fluid Properties and Fluid in the COMSOL Multiphysics Reference Manual for details.
When the coupled Heat Transfer interface is also coupled to a Phase Transport interface via the Nonisothermal Mixture Model multiphysics coupling, Specify density should be set to From fluid flow interface. See Nonisothermal Mixture Model in the CFD Module User’s Guide for details.
The density definition in the Nonisothermal Flow node ensures that the same definition of the density is used on the fluid flow and heat transfer interfaces. When the fluid flow compressibility setting is set to Incompressible then the thermal conductivity and the heat capacity are evaluated at the Reference temperature defined in the fluid flow interface. When Include gravity is selected and the Compressibility is set to Incompressible flow in the fluid interface properties, the gravity forces are defined using the coefficient of thermal expansion. Along with the fact that the material properties are evaluated for a constant temperature and pressure, this gravity force definition corresponds to Boussinesq approximation. Unless the density is defined as Custom, linearized density the coefficient of thermal expansion is evaluated from the fluid density.
Reference Temperature
Select an option from the Specify reference temperature list — From heat transfer interface, From fluid flow interface (the default), or User defined:
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For From heat transfer interface, set the Reference temperature Tref (SI unit: K) in the Physical Model section of the interface selected in the Heat transfer list of the Coupled Interfaces section. The Reference temperature input in the Fluid flow interface is synchronized to the same value or expression, and is not editable.
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For From fluid flow interface, set the Reference temperature Tref (SI unit: K) in the Physical Model section of the interface selected in the Fluid flow list of the Coupled Interfaces section. The Reference temperature input in the Heat transfer interface is synchronized to the same value or expression, and is not editable.
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For User defined, set a value or expression. The Reference temperature inputs in the Physical Model sections of the Heat transfer and Fluid flow interfaces are synchronized to the same value or expression, and are not editable.
When the coupled Heat Transfer interface is also coupled to a Phase Transport interface via the Nonisothermal Mixture Model multiphysics coupling, Specify reference temperature should be set to From fluid flow interface. See Nonisothermal Mixture Model in the CFD Module User’s Guide for details.
energy balance
The Include viscous dissipation check box is selected by default to account for the heat source corresponding to viscous heating. Because it may induce an extra computational cost it should be only selected in application where such effect is expected. If no information on this is available, selecting the option ensures that the energy balance for the heat and the flow equation is respected.
When an interface is selected from the Heat transfer list, some of its model inputs are forced with values from the Nonisothermal Flow node. In addition, it defines how the turbulence has to be accounted for, depending on the Fluid flow interface’s turbulence settings.
Therefore, each fluid flow interface should be used in at most one Nonisothermal Flow node. In cases where multiple fluid flow interfaces are used, they can be coupled with a single heat transfer interface, using an equal number of Nonisothermal Flow nodes to define proper multiphysics couplings. In the Heat transfer interface, the inputs for pressure and velocity are then taken from the first Nonisothermal Flow node.
If a physics interface is deleted and then added to the model again, then in order to reestablish the coupling, you need to choose the physics interface again from the Fluid flow or Heat transfer lists. This behavior is applicable to all multiphysics coupling nodes that would normally default to the once present interface. See Multiphysics Modeling Workflow in the COMSOL Multiphysics Reference Manual.
Heat Sink: Application Library path Heat_Transfer_Module/Tutorials,_Forced_and_Natural_Convection/heat_sink
Location in User Interface
Context Menus
 Multiphysics>Nonisothermal Flow
when any of the following interface is added together with Heat Transfer in Solids (or another version of the Heat Transfer Interface):
Single-Phase Flow (any version)
Porous Media and Subsurface Flow, Brinkman Equations