Buoyant Jets in Stratification; Mixing Efficiencies, Entropy Conditions and Wall Effects

ORAL

Abstract

An exact integral solution to the steady buoyant jet closure model in linearly stratified ambient environment is derived so that in the limit of a sharply stratified environment an entropy (nonlinear jump) condition can be established. Comparing the density evolution for the buoyant jet in the extremes of linear and sharp stratification using experiments and exact formulas, mixing efficiencies can be assessed. In turn, wall effects are explored experimentally in sharp stratification and compared to the closure theory. Lastly, the modeling of entrainment in these systems will be revisited.

*DMS-0502266, NSF RTG DMS-0943851, NSF RAPID CBET-1045653, NSF CMG ARC- 1025523, and NSF DMS-1009750, ONR DURIP N00014-09-1-0840

Authors

  • Chung-Nan Tzou

    • UNC Joint Fluids Lab
  • Roberto Camassa

    • Department of Mathematics and Department of Marine Sciences, University of North Carolina at Chapel Hill
    • University of North Carolina, Chapel Hill
    • UNC Joint Fluids Lab
    • University of North Carolina
    • University of North Carolina at Chapel Hill
    • Department of Mathematics, University of North Carolina at Chapel Hill
  • Marlow Durbin

    • UNC Joint Fluids Lab
  • Richard McLaughlin

    • Department of Mathematics and Department of Marine Sciences, University of North Carolina at Chapel Hill
    • University of North Carolina
    • UNC Joint Fluids Lab
    • Department of Mathematics, University of North Carolina at Chapel Hill
    • The University of North Carolina at Chapel Hill
  • Jeremy Ward

    • UNC Joint Fluids Lab
  • Cole Whetstone

    • UNC Joint Fluids Lab
  • Brian White

    • Department of Mathematics and Department of Marine Sciences, University of North Carolina at Chapel Hill
    • UNC Joint Fluids Lab