Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Revisiting ignited-quenched transition and the non-Newtonian rheology of
  a sheared dilute gas-solid suspension   The hydrodynamics and rheology of a sheared dilute gas-solid suspension,
consisting of inelastic hard-spheres suspended in a gas, are analysed using
anisotropic Maxwellian as the single particle distribution function. The
closed-form solutions for granular temperature and three invariants of the
second-moment tensor are obtained as functions of the Stokes number ($St$), the
mean density ($\nu$) and the restitution coefficient ($e$). Multiple states of
high and low temperatures are found when the Stokes number is small, thus
recovering the "ignited" and "quenched" states, respectively, of Tsao \& Koch
(J. Fluid Mech.,1995). The phase diagram is constructed in the
three-dimensional ($\nu, St, e$)-space that delineates the regions of ignited
and quenched states and their coexistence. Analytical expressions for the
particle-phase shear viscosity and the normal stress differences are obtained,
along with related scaling relations on the quenched and ignited states. At any
$e$, the shear-viscosity undergoes a discontinuous jump with increasing shear
rate (i.e.~ discontinuous shear-thickening) at the "quenched-ignited"
transition. The first (${\mathcal N}_1$) and second (${\mathcal N}_2$)
normal-stress differences also undergo similar first-order transitions: (i)
${\mathcal N}_1$ jumps from large to small positive values and (ii) ${\mathcal
N}_2$ from positive to negative values with increasing $St$, with the
sign-change of ${\mathcal N}_2$ identified with the system making a transition
from the quenched to ignited states. The superior prediction of the present
theory over the standard Grad's method and the Chapman-Enskog solution is
demonstrated via comparisons of transport coefficients with simulation data for
a range of Stokes number and restitution coefficient.

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The categories of this paper are: econ
3
The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: quant-ph