scholarly journals On a Long-Wave Instability of Steady-State Plane-Parallel Flows of an Ideal Fluid with Free Boundary in the Gravity Field

2012 ◽  
Vol 2 (1) ◽  
pp. 12-16
Author(s):  
Yu. G. Gubarev
Keyword(s):  
Steady State ◽  
Free Boundary ◽  
Gravity Field ◽  
Ideal Fluid ◽  
Wave Instability ◽  
Plane Parallel ◽  
Long Wave ◽  
Parallel Flows

scholarly journals On the porosity influence on stability of flow over porous medium

2020 ◽  
Vol 30 (1) ◽  
pp. 134-144
Author(s):  
K.B. Tsiberkin
Keyword(s):  
Porous Medium ◽  
Stability Analysis ◽  
Linear Stability ◽  
Linear Stability Analysis ◽  
Short Wave ◽  
Wave Instability ◽  
Plane Parallel ◽  
Long Wave ◽  
The Stability ◽  
Critical Wavenumber

The stability of incompressible fluid plane-parallel flow over a layer of a saturated porous medium is studied. The results of a linear stability analysis are described at different porosity values. The considered system is bounded by solid wall from the porous layer bottom. Top fluid surface is free and rigid. A linear stability analysis of plane-parallel stationary flow is presented. It is realized for parameter area where the neutral stability curves are bimodal. The porosity variation effect on flow stability is considered. It is shown that there is a transition between two main instability modes: long-wave and short-wave. The long-wave instability mechanism is determined by inflection points within the velocity profile. The short-wave instability is due to the large transverse gradient of flow velocity near the interface between liquid and porous medium. Porosity decrease stabilizes the long wave perturbations without significant shift of the critical wavenumber. Simultaneously, the short-wave perturbations destabilize, and their critical wavenumber changes in wide range. When the porosity is less than 0.7, the inertial terms in filtration equation and magnitude of the viscous stress near the interface increase to such an extent that the Kelvin-Helmholtz analogue of instability becomes the dominant mechanism for instability development. The stability band realizes in narrow porosity area. It separates the two branches of the neutral curve.

Long-wave instability of an isolated front

1983 ◽  
Vol 25 (4) ◽  
pp. 235-258 ◽  
Author(s):  
Peter D. Killworth
Keyword(s):  
Wave Instability ◽  
Long Wave

Side-Wall Effect on the Long-Wave Instability in Kolmogorov Flow

1998 ◽  
Vol 67 (5) ◽  
pp. 1597-1602 ◽  
Author(s):  
Hiroaki Fukuta ◽  
Youichi Murakami
Keyword(s):  
Side Wall ◽  
Wall Effect ◽  
Wave Instability ◽  
Kolmogorov Flow ◽  
Long Wave

Particles and Charges in the Vortex Sponge

1993 ◽  
Vol 48 (8-9) ◽  
pp. 935-942 ◽  
Author(s):  
Valery P. Dmitriyev
Keyword(s):  
Steady State ◽  
Ideal Fluid ◽  
Quantum Particle ◽  
Structural Elements ◽  
Action At A Distance

Abstract The vortex sponge, which postulates a steady state of vortex turbulence in an ideal fluid, is a substratum invented to explicate parsimoniously "action at a distance" and especially vacuum electromagnetics. A disturbance of the vortex sponge's structural elements is shown to behave like a Schrödinger quantum particle. Vorticity reversal points model elementary electrical charges.

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