Applicability of Taylor's hypothesis in thermally driven turbulence

Abstract

In this paper, we show that in the presence of large-scale circulation (LSC), Taylor's hypothesis can be invoked to deduce the energy spectrum in thermal convection using real space probes, a popular experimental tool. We perform numerical simulation of turbulent convection in a cube and observe that the velocity field follows Kolmogorov's spectrum ($k^{-5/3}$). We also record the velocity time series using real space probes near the lateral walls. The corresponding frequency spectrum exhibits Kolmogorov's spectrum ($f^{-5/3}$), thus validating Taylor's hypothesis with the steady LSC playing the role of a mean velocity field. The aforementioned findings based on real space probes provide valuable inputs for experimental measurements used for studying the spectrum of convective turbulence.

References in corpus (11)

• Boundary layer structure in turbulent thermal convection and its consequences for the required numerical resolution
• Phenomenology of buoyancy-driven turbulence: recent results
• Energy Spectrum of Buoyancy-Driven Turbulence
• Scaling of a Fast Fourier Transform and a Pseudo-spectral Fluid Solver up to 196608 cores
• Dynamics of reorientations and reversals of large scale flow in Rayleigh-Benard convection
• Strong anisotropy in quasi-static magnetohydrodynamic turbulence for high interaction parameters
• A Shell Model for Buoyancy-Driven Turbulence
• Near isotropic behaviour of turbulent thermal convection
• "Clusterization" and intermittency of temperature fluctuations in turbulent convection
• Anisotropy, inhomogeneity and inertial range scalings in turbulent convection
• Dynamics of large-scale quantities in Rayleigh-Bénard convection

Cited by in corpus (11)

• Convective turbulent viscosity acting on equilibrium tidal flows: new frequency scaling of the effective viscosity
• Turbulent viscosity acting on the equilibrium tidal flow in convective stars
• Efficiency of tidal dissipation in slowly rotating fully convective stars or planets
• Variable energy flux in turbulence
• Scaling and spatial intermittency of thermal dissipation in turbulent convection
• Prandtl number dependence of the small-scale properties in turbulent Rayleigh-Bénard convection
• On the applicability of Taylor's hypothesis in streaming magnetohydrodynamic turbulence
• Similarities between the structure functions of thermal convection and hydrodynamic turbulence
• Taylor's Frozen-in Hypothesis for Magnetohydrodynamic turbulence and Solar Wind
• Contrasting turbulence in stably stratified flows and thermal convection
• Coherence of velocity fluctuations in turbulent flows