Settling of a particle pair through a sharp, miscible density interface

2021 ◽  
Vol 6 (4) ◽  
Author(s):  
David Deepwell ◽  
Raphael Ouillon ◽  
Eckart Meiburg ◽  
Bruce R. Sutherland
Keyword(s):  
Particle Pair ◽  
Density Interface

New scaling laws predicting turbulent particle pair diffusion, overcoming the limitations of the prevalent Richardson–Obukhov theory

2021 ◽  
Vol 33 (3) ◽  
pp. 035135
Author(s):  
Nadeem A. Malik ◽  
Fazle Hussain
Keyword(s):  
Scaling Laws ◽  
Particle Pair

Asymptotic Behavior of Internal Rossby Waves with a Sharp Density Interface

2005 ◽  
Vol 65 (5) ◽  
pp. 1772-1793
Author(s):  
A. Ouahsine ◽  
P. A. Bois
Keyword(s):  
Asymptotic Behavior ◽  
Rossby Waves ◽  
Density Interface

scholarly journals Dust Particle Pair Correlation Functions and the Nonlinear Effect of Interaction Potentials

2019 ◽  
Vol 47 (7) ◽  
pp. 3057-3062
Author(s):  
Jie Kong ◽  
Ke Qiao ◽  
Lorin S. Matthews ◽  
Truell W. Hyde
Keyword(s):  
Dust Particle ◽  
Correlation Functions ◽  
Nonlinear Effect ◽  
Pair Correlation ◽  
Interaction Potentials ◽  
Pair Correlation Functions ◽  
Particle Pair

Thin Airfoil in Fields of Nonuniform Density, Part 1: Single Density Interface

AIAA Journal ◽  
2003 ◽  
Vol 41 (11) ◽  
pp. 2085-2094 ◽  
Author(s):  
Frank E. Marble
Keyword(s):  
Density Interface ◽  
Thin Airfoil

scholarly journals Regular shock refraction at an oblique planar density interface in magnetohydrodynamics

2005 ◽  
Vol 522 ◽  
pp. 179-214 ◽  
Author(s):  
V. WHEATLEY ◽  
D. I. PULLIN ◽  
R. SAMTANEY
Keyword(s):  
Density Interface ◽  
Shock Refraction

scholarly journals Numerical Simulations of Two-Layer Flow past Topography. Part I: The Leeside Hydraulic Jump

2018 ◽  
Vol 75 (4) ◽  
pp. 1231-1241 ◽  
Author(s):  
Richard Rotunno ◽  
George H. Bryan
Keyword(s):  
Fluid Dynamics ◽  
Hydraulic Jump ◽  
Numerical Solutions ◽  
Stokes Equations ◽  
Fluid Layer ◽  
Transition To Turbulence ◽  
Height Velocity ◽  
Inviscid Fluid ◽  
Initial Value ◽  
Density Interface

Abstract Laboratory observations of the leeside hydraulic jump indicate it consists of a statistically stationary turbulent motion in an overturning wave. From the point of view of the shallow-water equations (SWE), the hydraulic jump is a discontinuity in fluid-layer depth and velocity at which kinetic energy is dissipated. To provide a deeper understanding of the leeside hydraulic jump, three-dimensional numerical solutions of the Navier–Stokes equations (NSE) are carried out alongside SWE solutions for nearly identical physical initial-value problems. Starting from a constant-height layer flowing over a two-dimensional obstacle at constant speed, it is demonstrated that the SWE solutions form a leeside discontinuity owing to the collision of upstream-moving characteristic curves launched from the obstacle. Consistent with the SWE solution, the NSE solution indicates the leeside hydraulic jump begins as a steepening of the initially horizontal density interface. Subsequently, the NSE solution indicates overturning of the density interface and a transition to turbulence. Analysis of the initial-value problem in these solutions shows that the tendency to form either the leeside height–velocity discontinuity in the SWE or the overturning density interface in the exact NSE is a feature of the inviscid, nonturbulent fluid dynamics. Dissipative turbulent processes associated with the leeside hydraulic jump are a consequence of the inviscid fluid dynamics that initiate and maintain the locally unstable conditions.

scholarly journals Transient stratification force on particles crossing a density interface

2019 ◽  
Vol 121 ◽  
pp. 103109 ◽  
Author(s):  
Lilly Verso ◽  
Maarten van Reeuwijk ◽  
Alexander Liberzon
Keyword(s):  
Density Interface
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