scholarly journals Erratum: ‘‘Note on the Kelvin–Helmholtz instability of stratified flows’’ [Phys. Fluids 6, 164 (1994)]

1994 ◽  
Vol 6 (9) ◽  
pp. 3210-3210
Author(s):  
George S. Triantafyllou
Keyword(s):  
Stratified Flows ◽  
Helmholtz Instability

Mathematical modeling of steady stratified flows

2003 ◽  
Vol 3 ◽  
pp. 195-207
Author(s):  
A.M. Ilyasov ◽  
V.N. Kireev ◽  
S.F. Urmancheev ◽  
I.Sh. Akhatov
Keyword(s):  
Stokes Equations ◽  
Approximate Model ◽  
Immiscible Liquid ◽  
Stratified Flows ◽  
Navier Stokes ◽  
Flat Channel ◽  
Navier Stokes Equations ◽  
Two Fluids ◽  
Flow Parameters ◽  
Direct Numerical Solution

The work is devoted to the analysis of the flow of immiscible liquid in a flat channel and the creation of calculation schemes for determining the flow parameters. A critical analysis of the well-known Two Fluids Model was carried out and a new scheme for the determination of wall and interfacial friction, called the hydraulic approximation in the theory of stratified flows, was proposed. Verification of the proposed approximate model was carried out on the basis of a direct numerical solution of the Navier–Stokes equations for each fluid by a finite-difference method with phase-boundary tracking by the VOF (Volume of Fluid) method. The graphical dependencies illustrating the change in the interfase boundaries of liquids and the averaged over the occupied area of the phase velocities along the flat channel are presented. The results of comparative calculations for two-fluid models are also given, according to the developed model in the hydraulic approximation and direct modeling. It is shown that the calculations in accordance with the hydraulic approximation are more consistent with the simulation results. Thus, the model of hydraulic approximation is the most preferred method for calculating stratified flows, especially in cases of variable volumetric content of liquids.

Simulations of the shock-driven Kelvin–Helmholtz instability in inclined gas curtains

2021 ◽  
Vol 33 (6) ◽  
pp. 064103
Author(s):  
Brian Romero ◽  
Svetlana V. Poroseva ◽  
Peter Vorobieff ◽  
Jon M. Reisner
Keyword(s):  
Helmholtz Instability
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