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Title: The effect of non-uniform mass loading on the linear, temporal development of particle-laden shear layers

The effect of non-uniformity in bulk particle mass loading on the linear development of a particle-laden shear layer is analyzed by means of a stochastic Eulerian-Eulerian model. From the set of governing equations of the two-fluid model, a modified Rayleigh equation is derived that governs the linear growth of a spatially periodic disturbance. Eigenvalues for this Rayleigh equation are determined numerically using proper conditions at the co-flowing gas and particle interface locations. For the first time, it is shown that non-uniform loading of small-inertia particles (Stokes number (St) <0.2) may destabilize the inviscid mixing layer development as compared to the pure-gas flow. The destabilization is triggered by an energy transfer rate that globally flows from the particle phase to the gas phase. For intermediate St (1 < St < 10), a maximum stabilizing effect is computed, while at larger St, two unstable modes may coexist. The growth rate computations from linear stability analysis are verified numerically through simulations based on an Eulerian-Lagrangian (EL) model based on the inviscid Euler equations and a point particle model. The growth rates found in numerical experiments using the EL method are in very good agreement with growth rates from the linear stability analysis andmore » validate the destabilizing effect induced by the presence of particles with low St.« less
Authors:
 [1] ; ;  [2]
  1. Department of Aerospace Engineering, Universita di Pisa, Pisa 56122 (Italy)
  2. Department of Aerospace Engineering and Engineering Mechanics, San Diego State University, San Diego, 92182 California (United States)
Publication Date:
OSTI Identifier:
22403214
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Fluids (1994); Journal Volume: 27; Journal Issue: 3; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DISTURBANCES; EIGENVALUES; ENERGY TRANSFER; EQUATIONS; FLUIDS; GAS FLOW; LAGRANGIAN FUNCTION; LAYERS; LOADING; MASS; MIXING; MOMENT OF INERTIA; PARTICLE MODELS; PARTICLES; SHEAR; STOCHASTIC PROCESSES; STOKES NUMBER