Bodies, Buoyant Jets and Vortex Rings in Stratification

Richard McLaughlin
University of North Carolina

We present theoretical, computational, and experimental studies of the motion of bodies and buoyant fluids moving through a stratified background density field focusing on the evolution transverse to sharp stratification. Interesting critical phenomena are observed in which bodies and buoyant fluids may either escape or be trapped as parameters (such as the propagation distance) is varied. For the case of jets, an exact solution is derived for the Morton-Taylor-Turner (MTT) closure hierarchy which yields a simple formula for this critical distance, both with and without a nonlinear ”entropy” condition. These formulae will be compared directly to experimental measurements. Additionally, analysis will be shown demonstrating how the sharp two-layer background is the optimal stably stratified mixer within the MTT
hierarchy. For the case of the buoyant vortex ring, full DNS simulations of the evolving ring
impinging upon sharp stratification will compared directly with experimental measurements of the critical length.

This is joint work with Roberto Camassa and Chung-Nan Tzou

Back to Workshop II: Turbulent Transport and Mixing