Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized stability theory of polydisperse particle-laden flows.
  Part1. Channel flow   We present a generalized hydrodynamic stability theory for interacting
particles in polydisperse particle-laden flows. The addition of dispersed
particulate matter to a clean flow can either stabilize or destabilize the
flow, depending on the particles' relaxation time-scale relative to the carrier
flow time scales and the particle loading. To study the effects of
polydispersity and particle interactions on the hydrodynamic stability of shear
flows, we propose a new mathematical framework by combining a linear stability
analysis and a discrete Eulerian sectional formulation to describe the flow and
the dispersed particulate matter. In this formulation, multiple momentum and
transport equations are written for each size-section of the dispersed phase,
where interphase and inter-particle mass and momentum transfer are modelled as
source terms in the governing equations. A new modal linear stability framework
is derived by linearizing the coupled equations. Using this approach,
particle-flow interactions, such as polydispersity, droplet vaporization,
condensation, and coalescence, may be modelled. The method is validated with
linear stability analyses of clean and monodisperse particle-laden flows. We
show that the stability characteristics of a channel flow laden with particles
drastically change due to polydispersity. While relatively large monodisperse
particles tend to stabilize the flow, adding a second size section of a very
small mass fraction of low-to-moderate Stokes number particles may
significantly increase the growth rates, and for high-Reynolds numbers may
destabilize flows that might have been regarded as linearly stable in the
monodisperse case. These findings may apply to a vast number of fluid mechanics
applications involving particle-laden flows such as atmospheric flows,
environmental flows, medical applications, propulsion, and energy systems.

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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: nlin
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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: q-alg