The Thin-Film Flow, Shell Interface
The Thin-Film Flow, Shell (tffs) interface (), found under the Thin-Film Flow branch () when adding a physics interface, is used to solve the Reynolds equation or the modified Reynolds equation in a narrow channel that is represented by a surface within the geometry. It is used for lubrication, elastohydrodynamics, or gas damping simulations when the fluid channel is thin enough for the Reynolds equation or the Modified Reynolds equation to apply. The physics interface is available for 3D geometries.
This physics interface is defined in a boundary mode, which means that the boundary level is the highest level for which this physics interface has equations and features; it does not have any features or equations on the domain level. The boundary level represents a reference surface on which the flow is solved. On one side of the boundary level there is a wall and on the other a base surface, neither of which is represented in the geometry. The wall and base surfaces are orientated with respect to the reference surface normal as shown in Figure 4-1. Fluid flows in the gap between the wall and the base.
Figure 4-1: Diagram illustrating the orientation of the wall and the base surfaces with respect to the reference surface in the Thin-Film Flow interfaces. A vector from the reference surface to the corresponding point on the wall always points in the nref direction, where nref is the reference surface normal. Similarly a vector from the reference surface to the corresponding point on the base points in the +nref direction. The height of the wall above the reference surface (hw) and the height of the base below the reference surface (hb) are also shown in the figure.
Using equations on the reference surface, the physics interface computes the pressure in a narrow gap between the wall and the base. When modeling the flow, it is assumed that the total gap height, h = hw+hb, is much smaller than the typical lateral dimension L of the reference surface. The physics interface is used to model laminar flow in thin gaps or channels. A lubricating oil between two rotating cylinders is an example of this.
When this physics interface is added, the following default nodes are also added in the Model BuilderFluid-Film Properties, Border, and Initial Values. Then, from the Physics toolbar, you can add other nodes that implement, for example, boundary conditions. You can also right-click Thin-Film Flow, Shell to select physics features from the context menu.
Settings
The Label is the default physics interface name.
The Name is used primarily as a scope prefix for variables defined by the physics interface. Refer to such physics interface variables in expressions using the pattern <name>.<variable_name>. In order to distinguish between variables belonging to different 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 physics interface in the model) is tffs.
Physical Model
Select an Equation typeReynolds equation (the default) or Modified Reynolds equation.
Reference Pressure
Enter a Reference pressure level pref (SI unit: Pa). The default value is 1[atm]. This pressure represents the ambient pressure and fluid loads are computed without accounting for this pressure.
Dependent Variables
The dependent variable (field variable) is the Pressure pf. The name can be changed but the names of fields and dependent variables must be unique within a component.
Discretization
To display this section, click the Show button () and select Discretization.
The following model uses the same physics interfaces in the form of a structural mechanics boundary condition: Squeeze-Film Gas Damping in an Accelerometer: Application Library path MEMS_Module/Sensors/squeeze_film_accelerometer.