210 research outputs found
On the Applicability of Low-Dimensional Models for Convective Flow Reversals at Extreme Prandtl Numbers
Constructing simpler models, either stochastic or deterministic, for
exploring the phenomenon of flow reversals in fluid systems is in vogue across
disciplines. Using direct numerical simulations and nonlinear time series
analysis, we illustrate that the basic nature of flow reversals in convecting
fluids can depend on the dimensionless parameters describing the system.
Specifically, we find evidence of low-dimensional determinism in flow reversals
occurring at zero Prandtl number, whereas we fail to find such signatures for
reversals at infinite Prandtl number. Thus, even in a single system, as one
varies the system parameters, one can encounter reversals that are
fundamentally different in nature. Consequently, we conclude that a single
general low-dimensional deterministic model cannot faithfully characterize flow
reversals for every set of parameter values.Comment: 9 pages, 4 figure
Phenomenology of buoyancy-driven turbulence: Recent results
In this paper, we review the recent developments in the field of
buoyancy-driven turbulence. Scaling and numerical arguments show that the
stably-stratified turbulence with moderate stratification has kinetic energy
spectrum and the kinetic energy flux , which is called Bolgiano-Obukhov scaling. The energy flux for the
Rayleigh-B\'{e}nard convection (RBC) however is approximately constant in the
inertial range that results in Kolmorogorv's spectrum ()
for the kinetic energy. The phenomenology of RBC should apply to other flows
where the buoyancy feeds the kinetic energy, e.g. bubbly turbulence and
fully-developed Rayleigh Taylor instability. This paper also covers several
models that predict the Reynolds and Nusselt numbers of RBC. Recent works show
that the viscous dissipation rate of RBC scales as ,
where is the Rayleigh number
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