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SUMMARY:Theoretical modelling of perturbation dynamics for compressible sw
 irling flows in arbitrary varying ducts - Dr Yong Chen (Academic Visitor D
 AMTP)
DTSTART:20180927T100000Z
DTEND:20180927T110000Z
UID:TALK109339@talks.cam.ac.uk
CONTACT:Matthew Priddin
DESCRIPTION:State-of-the-art research has solved the problem of perturbati
 on dynamics for compressible swirling flows in slowly varying ducts based 
 on multiple scales approximation which models the problem as one-dimension
 al partial differential equations. The present research mathematically mod
 els perturbation dynamics in arbitrary varying ducts where the multiple sc
 ales approximation may be limited. From the conservations of mass\, moment
 um and energy for compressible inviscid flow\, we derive a mathematical mo
 del of steady compressible inviscid flow in terms of flow stream functions
  and density in radial and axial directions. Secondly\, we introduce a loc
 al orthogonal coordinate transformation to establish the linearized pertur
 bation dynamics in a natural coordinate system under the assumption that f
 low separations are absent and the pipeline wall is non-invasive to steady
  flow. The benefits are excellent as the steady flow in the new coordinate
 s is only in the axial direction and azimuthal direction if the swirls are
  present. Furthermore\, the radial and axial directions are independent. I
 n the natural coordinate system\, perturbation dynamics are modelled in te
 rms of linearized pressure\, velocity and entropy as first-order partial d
 ifferential equations.  To handle the complicated boundary condition\, a t
 wo-dimensional Chebyshev collocation method will be introduced to numerica
 lly solve the problem.\n
LOCATION:CMS\, MR12
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