Swirl Inlet - Boundary Condition

Swirl Inlet - Boundary Condition   Description

Swirl Inlet is a "Fixed Value" type velocity boundary condition that describes a swirling inflow, by specifying a central axis, central point, axial, radial, and tangential velocity profiles. The three components of swirl flow (axial, radial, and tangential) can be constant or time-dependent functions.

Swirl Inlet - Boundary Condition   Understanding Swirl Inlet

Mathematically, Swirl Inlet constructs the inlet velocity vector in the following way:

\(\vec U = U_z + U_r + U_{\phi} \)

where:
\(U_z\) - axial component,
\(U_r\) - radial component,
\(U_{\phi}\) - tangential component.

Each component is calculated in the following way:

\(U_z = U_{axial} \cdot \vec a\),
\(U_r = U_{radial} \cdot \vec r\),
\(U_\phi = U_{tangential} (\vec a \otimes \vec r)\),

where:
\(\vec a\) - unit-length vector in an axial direction,
\(\vec r\) - unit-length vector in a radial direction.

Axial (\(U_{axial}\)), radial (\(U_{radial}\)) and tangential velocity (\(U_{tangential}\)) components are taken directly from the User input.

Swirl Inlet is similar to Cilindrical Inlet, however, the key difference is the definition of tangential velocity components. The first one (Swirl Inlet) allows user to define a real velocity profile, while the latter define revolutions per minute which are later internally transformed to rotational speed \(\omega\). Additionally, when a Table option is used (see Swirl Inlet in SimFlow section), all velocity components are radially dependent, and not time-dependent like for Cilindrical Inlet.

Swirl Inlet - Boundary Condition   Application & Physical Interpretation

Swirl Inlet describes an inflow naturally expressed in cylindrical coordinates. It is perfectly suited for CFD simulations of cyclone separators, swirl burners, annular sonic nozzles or rotating-mesh mixers.

Swirl Inlet in Combustor applications

Example applications: swirl-stabilised combustor

This problem can be addressed using the sprayFoam solver. While fully developed laminar flow in a pipe has a parabolic velocity profile, near the entrance, the profile is developing and not yet parabolic.

Example Boundary Conditions set for Combustor applications
PhysicsPressureVelocity

Inlet

Zero Gradient

Swirl Inlet

Outlet (wind tunnel)

Fixed Value

Pressure Inlet-Outlet Velocity

Swirl Inlet - Boundary Condition   Swirl Inlet in SimFlow

To define Swirl Inlet on the domain’s inlet, the proper option must be selected from the drop-down menu for velocity in Boundary Conditions tab - Figure 1

Swirl Inlet boundary condition in SimFlow
Figure 1. Swirl Inlet boundary condition in SimFlow

The following parameters need to be defined:
Axis - axis of the coordinate system,
Origin - origin of the coordinate system,
Axial - axial velocity,
Radial - radial velocity,
Tangential - rotational speed used to define the tangential velocity component.

Axial, radial and RPM can be defined as a constant values or as time-dependent values, which is presented in Figure 2 and Figure 3.

Swirl Inlet boundary condition in SimFlow - Table
Figure 2. Swirl Inlet boundary condition in SimFlow - Table

When table definition is used, the radial-dependency is introduced.

Swirl Inlet boundary condition in SimFlow
Figure 3. Swirl Inlet boundary condition in SimFlo - Table Input

Swirl Inlet - Boundary Condition   Swirl Inlet - Alternatives

In this section, we propose boundary conditions that are alternative to Swirl Inlet. While they may fulfill similar purposes, they might be better suited for a specific application and provide a better approximation of physical world conditions.

Boundary ConditionDescription

Fixed Value

specifies constant value on the patch

Cylindrical Inlet

specify axial and radial velocity in cylindrical systems

Swirl Flow Rate Inlet

specify an inlet flow rate with a swirling component, defines the velocity field based on the desired flow rate