On the Time Evolution of the Turbulent Kinetic Energy Spectrum for Decaying Turbulence in the Convective Boundary Layer |
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| Authors: | A G Goulart B E J Bodmann M T M B de Vilhena P M M Soares D M Moreira |
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| Institution: | (1) Computational Transport Phenomena Laboratory (CTPL), Division of Physical Sciences and Engineering (PSE), King Abdullah University of Science and Technology (KAUST), Thuwal, 23955-6900, Kingdom of Saudi Arabia;(2) Institute for Thermodynamics and Thermal Engineering (ITW), University of Stuttgart, Pfaffenwaldring 6, 70550 Stuttgart, Germany;(3) Department of Mathematics, Aswan Faculty of Science, South Valley University, Aswan, Egypt |
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| Abstract: | Our focus is the time evolution of the turbulent kinetic energy for decaying turbulence in the convective boundary layer.
The theoretical model with buoyancy and inertial transfer terms has been extended by a source term due to mechanical energy
and validated against large-eddy simulation data. The mechanical effects in a boundary layer of height z
i
at a convective surface-layer height z = 0.05z
i
are significant in the time evolution of the vertical component of the spectrum, i.e. they enhance the decay time scale by
more than an order of magnitude. Our findings suggest that shear effects seem to feedback to eddies with smaller wavenumbers,
preserving the original shape of the spectrum, and preventing the spectrum from shifting towards shorter wavelengths. This
occurs in the case where thermal effects only are considered. |
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