Plume structures in the hard-turbulent regime of three-dimensional infinite Prandtl number convection

Physics

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Computerized Simulation, Convective Heat Transfer, Rayleigh Number, Three Dimensional Models, Turbulent Flow, Boundary Conditions, Power Spectra, Prandtl Number, Temperature Distribution, Thermal Boundary Layer

Scientific paper

Numerical simulations of three-dimensional infinite Prandtl number thermal convection with Rayleigh number (Ra) up to 10 exp 8 are reported. Convection with Ra higher than 10 exp 7 is characterized by the appearance of disconnected thermal plumes. The smaller plumes are detached by the currents produced by the larger plumes. The low wavenumber portion of a thermal power spectrum near the boundary layer becomes flat at high Ra, while the spectrum measured in the interior shows a positive slope for low wavenumbers. Differences are found in the thermal spectra between 2D and 3D models.

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