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representing 10 degree angular section. The boundary conditions at Θ = 0 are periodic and applied using the
macro PERI. The mesh density is skewed at the boundaries to resolve the pressure gradient.
The circumferential velocity (VY) is a function of the radius while the radial and axial components are zero. The
circumferential velocity component is given by:
VY(r ) = r 2ω
− r1 2
[r1 /r − r ] The pressure distribution is nonlinear, with a steep gradient in the region near the rotating inner cylinder. Results Comparison
VY (r = 1.5) ANSYS Ratio -1.111 -1.111 1.0 Figure 46.2 Velocity Distribution 1–110 ANSYS Verification Manual . ANSYS Release 9.0 . 002114 . © SAS IP, Inc. VM46 Figure 46.3 Pressure Distribution ANSYS Verification Manual . ANSYS Release 9.0 . 002114 . © SAS IP, Inc. 1–111 VM47: Torsional Frequency of a Suspended Disk
Reference: W. T. Thomson, Vibration Theory and Applications, 2nd Printing, Prentice-Hall,
Inc., Englewood Cliffs, NJ, 1965, pg. 10, ex. 1.3-2 Analysis Type(s): Mode-frequency Analysis (ANTYPE = 2) Element Type(s): Spring-Damper Elements (COMBIN14)
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