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Small-scale entrainment in inclined gravity currents
Authors:Maarten van Reeuwijk  Dominik Krug  Markus Holzner
Affiliation:1.Department of Civil and Environmental Engineering,Imperial College London,London,UK;2.Department of Mechanical Engineering,University of Melbourne,Victoria,Australia;3.Institute of Environmental Engineering,ETH Zürich,Zurich,Switzerland
Abstract:We investigate the effect of buoyancy on the small-scale aspects of turbulent entrainment by performing direct numerical simulation of a gravity current and a wall jet. In both flows, we detect the turbulent/nonturbulent interface separating turbulent from irrotational ambient flow regions using a range of enstrophy iso-levels spanning many orders of magnitude. Conform to expectation, the relative enstrophy isosurface velocity (v_n) in the viscous superlayer scales with the Kolmogorov velocity for both flow cases. We connect the integral entrainment coefficient E to the small-scale entrainment and observe excellent agreement between the two estimates throughout the viscous superlayer. The contribution of baroclinic torque to (v_n) is negligible, and we show that the primary reason for reduced entrainment in the gravity current as compared to the wall-jet are 1) the reduction of (v_n) relative to the integral velocity scale (u_T); and 2) the reduction in the surface area of the isosurfaces.
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