scholarly journals Rear shock formation in gravity currents

2006 ◽  
Author(s):  
S. J. D. D’Alessio ◽  
J. P. Pascal ◽  
T. B. Moodie
Keyword(s):  
Gravity Currents ◽  
Shock Formation

scholarly journals Analytical and numerical results for flow and shock formation in two-layer gravity currents

1998 ◽  
Vol 40 (1) ◽  
pp. 35-58 ◽  
Author(s):  
P. J. Montgomery ◽  
T. B. Moodie
Keyword(s):  
Numerical Solutions ◽  
Spatial Dimension ◽  
Gravity Currents ◽  
Numerical Results ◽  
Shock Formation ◽  
Inviscid Fluid ◽  
Weakly Nonlinear ◽  
Relaxation Scheme ◽  
Model Equations ◽  
The Stability

AbstractMany gravity driven flows can be modelled as homogeneous layers of inviscid fluid with a hydrostatic pressure distribution. There are examples throughout oceanography, meteorology, and many engineering applications, yet there are areas which require further investigation. Analytical and numerical results for two-layer shallow-water formulations of time dependent gravity currents travelling in one spatial dimension are presented. Model equations for three physical limits are developed from the hydraulic equations, and numerical solutions are produced using a relaxation scheme for conservation laws developed recently by S. Jin and X. Zin [6]. Hyperbolicity of the model equations is examined in conjunction with the stability Froude number, and shock formation at the interface of the two layers is investigated using the theory of weakly nonlinear hyperbolic waves.

Secondary generation of breaking internal waves in confined basins by gravity currents

2021 ◽  
Vol 917 ◽  
Author(s):  
Yukinobu Tanimoto ◽  
Nicholas T. Ouellette ◽  
Jeffrey R. Koseff
Keyword(s):  
Internal Waves ◽  
Gravity Currents

Abstract

Gravity currents produced by lock exchange

2004 ◽  
Vol 521 ◽  
pp. 1-34 ◽  
Author(s):  
J. O. SHIN ◽  
S. B. DALZIEL ◽  
P. F. LINDEN
Keyword(s):  
Gravity Currents

Non-self-similar viscous gravity currents

2018 ◽  
Vol 3 (3) ◽  
Author(s):  
Bruce R. Sutherland ◽  
Kristen Cote ◽  
Youn Sub (Dominic) Hong ◽  
Luke Steverango ◽  
Chris Surma
Keyword(s):  
Gravity Currents ◽  
Self Similar

Particle settling from constant-flux surface gravity currents and a near-stationary particle-bearing layer

2021 ◽  
Vol 6 (6) ◽  
Author(s):  
Bruce R. Sutherland ◽  
Brianna Mueller ◽  
Brendan Sjerve ◽  
David Deepwell
Keyword(s):  
Gravity Currents ◽  
Surface Gravity ◽  
Particle Settling ◽  
Flux Surface ◽  
Constant Flux ◽  
Bearing Layer

The effects of gas flow on granular currents

2008 ◽  
Vol 366 (1873) ◽  
pp. 2191-2203 ◽  
Author(s):  
M.A Gilbertson ◽  
D.E Jessop ◽  
A.J Hogg
Keyword(s):  
Gas Flow ◽  
Gravity Currents ◽  
The Future ◽  
Particle Current

Currents of particles have been quite successfully modelled using techniques developed for fluid gravity currents. These models require the rheology of the currents to be specified, which is determined by the interaction between particles. For relatively small slow currents, this is determined primarily through friction, which can be controlled and reduced by fluidizing the particles, so that they may become much more mobile. Recent results cannot be predicted using many of the proposed models, and may be defined by the interaction between the particles and the fluid through which they are passing. However, in addition, particles that are only initially fluidized also form currents that are also mobile, but otherwise are different from continuously fluidized currents. The mobility of these currents appears not to be connected to the time taken for them to degas. This suggests that defining the continuous stresses on the particle current may not be sufficient to understand its motion and that a challenge for the future is to understand the structure of these flows and how this affects their motion.

The propagation of gravity currents in a V-shaped triangular cross-section channel: experiments and theory

2014 ◽  
Vol 754 ◽  
pp. 232-249 ◽  
Author(s):  
Marius Ungarish ◽  
Catherine A. Mériaux ◽  
Cathy B. Kurz-Besson
Keyword(s):  
Reynolds Number ◽  
Cross Section ◽  
Viscosity Coefficient ◽  
Gravity Currents ◽  
Quantitative Agreement ◽  
Flat Bottom ◽  
Special Configuration ◽  
Theoretical Predictions ◽  
Speed Of Propagation ◽  
High Reynolds

AbstractWe investigate the motion of high-Reynolds-number gravity currents (GCs) in a horizontal channel of V-shaped cross-section combining lock-exchange experiments and a theoretical model. While all previously published experiments in V-shaped channels were performed with the special configuration of the full-depth lock, we present the first part-depth experiment results. A fixed volume of saline, that was initially of length $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}x_0$ and height $h_0$ in a lock and embedded in water of height $H_0$ in a long tank, was released from rest and the propagation was recorded over a distance of typically $ 30 x_0$. In all of the tested cases the current displays a slumping stage of constant speed $u_N$ over a significant distance $x_S$, followed by a self-similar stage up to the distance $x_V$, where transition to the viscous regime occurs. The new data and insights of this study elucidate the influence of the height ratio $H = H_0/h_0$ and of the initial Reynolds number ${\mathit{Re}}_0 = (g^{\prime }h_0)^{{{1/2}}} h_0/ \nu $, on the motion of the triangular GC; $g^{\prime }$ and $\nu $ are the reduced gravity and kinematic viscosity coefficient, respectively. We demonstrate that the speed of propagation $u_N$ scaled with $(g^{\prime } h_0)^{{{1/2}}}$ increases with $H$, while $x_S$ decreases with $H$, and $x_V \sim [{\mathit{Re}}_0(h_0/x_0)]^{{4/9}}$. The initial propagation in the triangle is 50 % more rapid than in a standard flat-bottom channel under similar conditions. Comparisons with theoretical predictions show good qualitative agreements and fair quantitative agreement; the major discrepancy is an overpredicted $u_N$, similar to that observed in the standard flat bottom case.

Sign in / Sign up

Export Citation Format

Share Document