scholarly journals Marginal regeneration in a horizontal film: Instability growth law in the nonlinear regime

2021 ◽  
Vol 6 (2) ◽  
Author(s):  
Alice Gros ◽  
Adrien Bussonnière ◽  
Sanjiban Nath ◽  
Isabelle Cantat

2006 ◽  
Vol 133 ◽  
pp. 201-204
Author(s):  
J.-M. Clarisse ◽  
C. Boudesocque-Dubois ◽  
J.-P. Leidinger ◽  
J.-L. Willien


2019 ◽  
Vol 1 (3) ◽  
Author(s):  
E. I. Kiselev ◽  
A. S. Averkin ◽  
M. V. Fistul ◽  
V. P. Koshelets ◽  
A. V. Ustinov
Keyword(s):  




1991 ◽  
Vol 44 (9) ◽  
pp. 5894-5897 ◽  
Author(s):  
S. Balestri ◽  
M. Ciofini ◽  
R. Meucci ◽  
F. T. Arecchi ◽  
P. Colet ◽  
...  
Keyword(s):  


1978 ◽  
Vol 20 (1) ◽  
pp. 137-148 ◽  
Author(s):  
B. I. Meerson ◽  
A. B. Mikhallovskii ◽  
O. A. Pokhotelov

Resonant excitation of Alfvén waves by fast particles in a finite pressure plasma in a non-uniform magnetic field is studied. Plasma compressibility in the wave field is determined both by the curvature of the magnetic lines of force and finite Larmor radius of fast particles. A general expression for the instability growth rate is obtained and analyzed; the applicability of the results obtained in the previous paper has also been studied. The finite pressure stabilization of the trapped particles instability has been found. The bounce-resonance effects are analyzed.





2002 ◽  
Vol 451 ◽  
pp. 239-260 ◽  
Author(s):  
J. FERNANDEZ ◽  
P. KUROWSKI ◽  
P. PETITJEANS ◽  
E. MEIBURG

Density-driven instabilities between miscible fluids in a vertical Hele-Shaw cell are investigated by means of experimental measurements, as well as two- and three-dimensional numerical simulations. The experiments focus on the early stages of the instability growth, and they provide detailed information regarding the growth rates and most amplified wavenumbers as a function of the governing Rayleigh number Ra. They identify two clearly distinct parameter regimes: a low-Ra, ‘Hele-Shaw’ regime in which the dominant wavelength scales as Ra−1, and a high-Ra ‘gap’ regime in which the length scale of the instability is 5±1 times the gap width. The experiments are compared to a recent linear stability analysis based on the Brinkman equation. The analytical dispersion relationship for a step-like density profile reproduces the experimentally observed trend across the entire Ra range. Nonlinear simulations based on the two- and three-dimensional Stokes equations indicate that the high-Ra regime is characterized by an instability across the gap, wheras in the low-Ra regime a spanwise Hele-Shaw mode dominates.



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