Modelling the front condition of rigid boundary gravity currents

2010 ◽  
pp. 203-208
Keyword(s):  
Gravity Currents ◽  
Rigid Boundary ◽  
Front Condition

The front condition for intrusive gravity currents

2008 ◽  
Vol 46 (6) ◽  
pp. 788-801 ◽  
Author(s):  
Roger I. Nokes ◽  
Mark J. Davidson ◽  
Charlotte A. Stepien ◽  
William B. Veale ◽  
Rowan L. Oliver
Keyword(s):  
Gravity Currents ◽  
Front Condition ◽  
Intrusive Gravity Currents

A new front condition for non-Boussinesq gravity currents

2018 ◽  
Vol 56 (4) ◽  
pp. 517-525 ◽  
Author(s):  
G. Sciortino ◽  
C. Adduce ◽  
V. Lombardi
Keyword(s):  
Gravity Currents ◽  
Front Condition

The front condition for gravity currents

2005 ◽  
Vol 536 ◽  
pp. 49-78 ◽  
Author(s):  
B. M. MARINO ◽  
L. P. THOMAS ◽  
P. F. LINDEN
Keyword(s):  
Gravity Currents ◽  
Front Condition

scholarly journals Propagation of viscous gravity currents inside confining boundaries: the effects of fluid rheology and channel geometry

2015 ◽  
Vol 471 (2178) ◽  
pp. 20150070 ◽  
Author(s):  
S. Longo ◽  
V. Di Federico ◽  
L. Chiapponi
Keyword(s):  
Cross Sections ◽  
Rheological Behaviour ◽  
Gravity Currents ◽  
Channel Cross Section ◽  
Rigid Boundary ◽  
Cross Sectional ◽  
Self Similar ◽  
Similar Solutions ◽  
Fluid Rheology ◽  
Asymptotic Validity

A theoretical and experimental investigation of the propagation of free-surface, channelized viscous gravity currents is conducted to examine the combined effects of fluid rheology, boundary geometry and channel inclination. The fluid is characterized by a power-law constitutive equation with behaviour index n . The channel cross section is limited by a rigid boundary of height parametrized by k and has a longitudinal variation described by the constant b ≥0. The cases k ⋛ 1 are associated with wide, triangular and narrow cross sections. For b >0, the cases k ≷ 1 describe widening channels and squeezing fractures; b =0 implies a constant cross-sectional channel. For a volume of released fluid varying with time like t α , scalings for current length and thickness are obtained in self-similar forms for horizontal and inclined channels/fractures. The speed, thickness and aspect ratio of the current jointly depend on the total current volume ( α ), the fluid rheological behaviour ( n ), and the transversal ( k ) and longitudinal ( b ) geometry of the channel. The asymptotic validity of the solutions is limited to certain ranges of parameters. Experimental validation was performed with different fluids and channel cross sections; experimental results for current radius and profile were found to be in close agreement with the self-similar solutions at intermediate and late times.

A note on the propagation speed of a weakly dissipative gravity current

2007 ◽  
Vol 574 ◽  
pp. 393-403 ◽  
Author(s):  
EUGENY V. ERMANYUK ◽  
NIKOLAI V. GAVRILOV
Keyword(s):  
Gravity Current ◽  
Propagation Speed ◽  
Front Propagation ◽  
Gravity Currents ◽  
Minor Role ◽  
Rigid Boundary ◽  
Inviscid Flows ◽  
First Case ◽  
Energy Conserving ◽  
A Minor

This paper presents an experimental study on the propagation speed of gravity currents at moderate values of a gravity Reynolds number. Two cases are considered: gravity currents propagating along a rigid boundary and intrusive gravity currents. For the first case, a semi-empirical formula for the front propagation speed derived from simple energy arguments is shown to capture well the effect of flow deceleration because of viscous dissipation. In the second case, the propagation speed is shown to agree with the one predicted for energy-conserving virtually inviscid flows (Shin, Dalziel & Linden, J. Fluid Mech. vol. 521, 2004, p. 1), which implies that the losses due to vorticity generation and mixing at the liquid–liquid interface play only a minor role in the total balance of energy.

Front Condition for Gravity Currents in Channels of Nonrectangular Symmetric Cross-Section Shapes

2009 ◽  
Vol 131 (5) ◽  
Author(s):  
B. M. Marino ◽  
L. P. Thomas
Keyword(s):  
Froude Number ◽  
Cross Section ◽  
Laboratory Experiments ◽  
Rectangular Cross Section ◽  
Theoretical Models ◽  
Gravity Currents ◽  
Cross Section Shape ◽  
Section Shape ◽  
Front Condition ◽  
Upper Boundary

We study the variation of the Froude number at the front of gravity currents developed in uniform channels whose cross-section shape depends on a parameter usually used in many numerical and theoretical models. The thickness and front velocity of the dense currents running on the bottom are greater for all the cases studied, resulting in a Froude number greater than that corresponding to the rectangular cross-section shape. The light currents developing along the upper boundary show the opposite trend. It is found that the results are not related to the depth and width of the channel. The relationships obtained agree with the results of laboratory experiments in which open and closed channels of different cross-section shapes are used.

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