165 research outputs found
Multiscale fluid--particle thermal interaction in isotropic turbulence
We use direct numerical simulations to investigate the interaction between
the temperature field of a fluid and the temperature of small particles
suspended in the flow, employing both one and two-way thermal coupling, in a
statistically stationary, isotropic turbulent flow. Using statistical analysis,
we investigate this variegated interaction at the different scales of the flow.
We find that the variance of the fluid temperature gradients decreases as the
thermal response time of the suspended particles is increased. The probability
density function (PDF) of the fluid temperature gradients scales with its
variance, while the PDF of the rate of change of the particle temperature,
whose variance is associated with the thermal dissipation due to the particles,
does not scale in such a self-similar way. The modification of the fluid
temperature field due to the particles is examined by computing the particle
concentration and particle heat fluxes conditioned on the magnitude of the
local fluid temperature gradient. These statistics highlight that the particles
cluster on the fluid temperature fronts, and the important role played by the
alignments of the particle velocity and the local fluid temperature gradient.
The temperature structure functions, which characterize the temperature
fluctuations across the scales of the flow, clearly show that the fluctuations
of the fluid temperature increments are monotonically suppressed in the two-way
coupled regime as the particle thermal response time is increased. Thermal
caustics dominate the particle temperature increments at small scales, that is,
particles that come into contact are likely to have very large differences in
their temperature. This is caused by the nonlocal thermal dynamics of the
particles..
Irreversibility-inversions in 2 dimensional turbulence
In this paper we consider a recent theoretical prediction (Bragg \emph{et
al.}, Phys. Fluids \textbf{28}, 013305 (2016)) that for inertial particles in
2D turbulence, the nature of the irreversibility of the particle-pair
dispersion inverts when the particle inertia exceeds a certain value. In
particular, when the particle Stokes number, , is below a certain
value, the forward-in-time (FIT) dispersion should be faster than the
backward-in-time (BIT) dispersion, but for above this value, this
should invert so that BIT becomes faster than FIT dispersion. This non-trivial
behavior arises because of the competition between two physically distinct
irreversibility mechanisms that operate in different regimes of . In
3D turbulence, both mechanisms act to produce faster BIT than FIT dispersion,
but in 2D turbulence, the two mechanisms have opposite effects because of the
flux of energy from the small to the large scales. We supplement the
qualitative argument given by Bragg \emph{et al.} (Phys. Fluids \textbf{28},
013305 (2016)) by deriving quantitative predictions of this effect in the short
time limit. We confirm the theoretical predictions using results of inertial
particle dispersion in a direct numerical simulation of 2D turbulence. A more
general finding of this analysis is that in turbulent flows with an inverse
energy flux, inertial particles may yet exhibit a net downscale flux of kinetic
energy because of their non-local in-time dynamics
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