ETD

Archivio digitale delle tesi discusse presso l'Università di Pisa

Tesi etd-11062012-014345


Tipo di tesi
Tesi di laurea specialistica
Autore
SENATORE, GIACOMO
URN
etd-11062012-014345
Titolo
The Effect of Particles on the Stability of Shear Layer with Differential Loading
Dipartimento
INGEGNERIA
Corso di studi
INGEGNERIA AEROSPAZIALE
Relatori
relatore D'Agostino, Luca
Parole chiave
  • spectral problem with discontinuous coefficient
  • Eulerian-Eulerian model
  • particle-laden flow
  • stability analysis
  • Particle-Source-in-Cell method
Data inizio appello
27/11/2012
Consultabilità
Non consultabile
Data di rilascio
27/11/2052
Riassunto
The stability behavior of shear layers formed by the mixing of two streams with different particle concentrations is analyzed with an Eulerian-Eulerian model. The modified Rayleigh equation governing the evolution of two-dimensional spatially periodic disturbance, together with proper jump conditions for the two-layer interface that may differ from the location of maximum shear, is derived and solved numerically by means of both global
spectral collocation and a local, shooting numerical techniques.
Particles with small Stokes number destabilize a particle-laden flow with an inviscid carrier phase. The instability is directly correlated to the direction of interphase energy transfer. The flow is most stable at an intermediate Stokes number for a specific wavenumber, but for arbitrary mass loading. At large Stokes numbers two unstable modes coexist. With increasing deviation in the normal distance between the symmetry line of the shear layer and the jump in particle mass loading,
the most unstable mode switches from a long-wave to a short-wave type. Full simulations with high order weighted essentially non-oscillatory (WENO-Z) Particle-Source-In-Cell (PSIC)
Eulerian-Lagrangian based solver for industrial-scale compressible flow problems verify theoretical results of the linear stability analysis.
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