Equation 3-237 through
Equation 3-239 must be solved using a Time Dependent study. This can be computationally expensive. The Rotating Machinery, Fluid Flow interfaces therefore support the so-called frozen rotor approach. The frozen rotor approach assumes that the flow in the rotating domain, expressed in the rotating coordinate system, is fully developed.
Equation 3-235 then reduces to
Frozen rotor is both a study type and an equation form. When solving a rotating machinery model using a Frozen Rotor study step, the Rotating Machinery, Fluid Flow interfaces effectively solve Equation 3-241 and
Equation 3-241 in a “rotating” domain, but “rotating” domains do not rotate at all. Boundary conditions remain transformed as if the domains were rotating, but the domains remain fixed, or frozen, in position. As in the time-dependent case, the Rotating Machinery, Fluid Flow interfaces solve for the velocity vector in the stationary coordinate system,
u, rather than for
v.
To make Equation 3-237 and
Equation 3-238 equivalent to
Equation 3-240 and
Equation 3-241, the Frozen Rotor study step defines a parameter
TIME, which by default is set to zero (
TIME appears in the Parameters node under Global Definitions).
Equation 3-239 is replaced by
Since TIME is a parameter and
x is a function of
TIME,
∂x/∂T evaluates to its correct value. Finally,
∂ρ/∂T
= 0 and the mesh time derivative of the velocity is replaced by
The frozen rotor approach can in special cases give the same solution as solving Equation 3-237 through
Equation 3-239 to steady state. This is the case if, for example, the whole geometry is rotating, or if the model is invariant with respect to the position of the rotating domain relative to the nonrotating domain. The latter is the case for a fan placed in the middle of a straight, cylindrical duct.