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The Molecular Flow Module Physics Interface Guide
The physics interfaces are used to set up a simulation problem. Each physics interface expresses the relevant physical phenomena in the form of an equation system with appropriate boundary and initial conditions. Each feature added to the interface represents a term or condition in the underlying equation set. These features are usually associated with a geometric entity within the model, such as a domain, boundary, edge (for 3D components), or point. Figure 5 uses the Ion Implanter model (see the section Tutorial Model: Molecular Flow in an Ion Implant Vacuum System) to show the Model Builder and the Settings window for the selected Vacuum Pump 1 node. This node removes a fraction of the incident molecules from the molecular flow in a manner consistent with the pump speed, which is given in liters per second. Note that COMSOL Multiphysics uses SI units by default, but allows quantities to be expressed in other units. Units are entered in square brackets (in this case adding [l/s] after the numeric quantity specifies liters per second). Two different wall boundary conditions are also highlighted in the model tree. Different options are used in these boundary conditions to specify various interactions with the flow. Wall 1 uses the Wall option, which sets the incident molecular flux, G, equal to the emitted molecular flux, J. Wall 2 uses the Outgassing Wall option and correspondingly emits an outgassing molecular flux, J0, in addition to the incident flux, G. J0 can be specified as a flux (SI unit: 1/(m2·s)), a mass flux (SI unit: kg/(m2·s)), a total mass flow (SI unit: kg/s) or as a mass flow in sccm units.
Figure 5: The Model Builder (to the left), and the Settings window for Vacuum Pump 1 for the selected feature node (to the right). The Equation section in the Settings window shows the model equations. The terms added to the equation system by the feature are underlined with a dotted line.
When a new model is started, the appropriate physics interface is selected from the Model Wizard. Figure 6 shows the Molecular Flow Module physics interfaces as displayed in the Model Wizard. Also see Physics Interface Guide by Space Dimension and Preset Study Type. In the following section, a brief overview of each of the Molecular Flow Module physics interfaces is given.
Figure 6: The Molecular Flow Module physics interfaces as displayed in the Model Wizard (3D components).
Rarefied Flow
The free molecular flow and transitional flow interfaces are used to model rarefied gas flows, in which the kinetic behavior of the gas molecules is important.
At large Knudsen numbers (Kn > 10), the Molecular Flow interface () can be used. This interface models nonisothermal or isothermal molecular flows using a technique called the angular coefficient method. In this method, the incoming molecular flux at an area element on the surface is computed by summing the outgoing flux arriving from all other visible points. The method is also known as the ‘radiation method’ since previously software for computing surface–to–surface radiation was adapted for this purpose. Note that the Molecular Flow interface is different from the standard radiation method, as it computes accurate pressure and number densities by performing additional integrations. It is also much more convenient, because it is designed specifically for vacuum applications. A limitation of the angular coefficient method is that the boundary conditions on surfaces require the assumption that the molecules are reemitted at directions independent of their angle of incidence. This is often referred to as total accommodation, and is implicitly assumed by the Molecular Flow interface.
The Transitional flow interface () can be used across the full range of Knudsen numbers. There are limitations on the use of this interface since it is difficult to specify boundary conditions at intermediate Knudsen numbers. The interface includes boundary conditions in the Navier–Stokes and Molecular Flow limits. However, because the Navier–Stokes boundary conditions require the fully coupled solver, they are only practical to use with near-continuum flows (more rarefied flows require a large number dependent variables for an accurate description). For simulations that span a large range of Knudsen numbers, the molecular flow limit boundary conditions should be used. To obtain a realistic inlet or outlet flow profile in the region of interest, an additional modeling domain should be added adjacent to the inlet or outlet to allow the flow to reach a physical solution before it reaches the region of interest. Transitional Flow calculations are extremely demanding and dedicated hardware, with 10s or 100s of GB of RAM, is recommended. For this reason, it is recommended that this interface is used primarily for transitional flows, where no other option is available for modeling the flow. Note that the Transitional Flow interface can also be used to solve molecular flows, and the interface contains an option to neglect intermolecular scattering for these applications.
COMSOL Multiphysics also offers a Slip Flow interface for modeling nonisothermal or isothermal gas flows in the near continuum regime (0.01 < Kn < 0.1). This physics interface is available in the Microfluidics Module.
Physics Interface Guide by Space Dimension and Preset Study Type
The table below lists the physics interfaces available specifically with this module in addition to the standard interfaces provided with a standalone COMSOL Multiphysics license.
Fluid Flow
Rarefied Flow