Instability growth rate of two-phase mixing layers from a linear eigenvalue problem and an initial-value problem

2010 ◽  
Vol 22 (9) ◽  
pp. 092104 ◽  
Author(s):  
Anne Bagué ◽  
Daniel Fuster ◽  
Stéphane Popinet ◽  
Ruben Scardovelli ◽  
Stéphane Zaleski
Keyword(s):  
Growth Rate ◽  
Eigenvalue Problem ◽  
Initial Value Problem ◽  
Instability Growth Rate ◽  
Mixing Layers ◽  
Initial Value ◽  
Two Phase ◽  
Phase Mixing ◽  
Linear Eigenvalue Problem ◽  
Instability Growth

scholarly journals Orbit width scaling of TAE instability growth rate

1995 ◽  
Author(s):  
H.V. Wong ◽  
H.L. Berk ◽  
B.N. Breizman
Keyword(s):  
Growth Rate ◽  
Instability Growth Rate ◽  
Instability Growth

Numerical investigations on the effects of geometrical parameters on free electron laser instability

2008 ◽  
Vol 74 (6) ◽  
pp. 741-747
Author(s):  
B. S. SHARMA ◽  
N. K. JAIMAN
Keyword(s):  
Growth Rate ◽  
Electron Beam ◽  
Free Electron ◽  
Free Electron Laser ◽  
Instability Growth Rate ◽  
Magnetized Plasma ◽  
Geometrical Parameters ◽  
Uniform Density ◽  
Backward Wave Oscillator ◽  
Instability Growth

AbstractIn this paper we numerically investigate the effects of various geometrical parameters of a backward wave oscillator (BWO), filled with a magnetized plasma of uniform density and driven by a mild relativistic solid electron beam, on the instability growth rate (Γ) of a free electron laser (FEL). The FEL instability is numerically calculated and the result is compared with the instability growth rate of an annular electron beam for the same set of parameters. The instability growth for a solid electron beam scales inversely to the seventh power of relativistic gamma factor γ0 and directly proportional to the corrugation amplitude.

Kinetic study of instability growth rate in a helicon plasma discharge source

2017 ◽  
Vol 57 (6-7) ◽  
pp. 272-281
Author(s):  
Rokhsare Jaafarian ◽  
Alireza Ganjovi ◽  
Gholam Reza Etaati
Keyword(s):  
Growth Rate ◽  
Kinetic Study ◽  
Plasma Discharge ◽  
Instability Growth Rate ◽  
Helicon Plasma ◽  
Discharge Source ◽  
Instability Growth

Stability of time-dependent rotational Couette flow Part 2. Stability analysis

1971 ◽  
Vol 48 (2) ◽  
pp. 365-384 ◽  
Author(s):  
C. F. Chen ◽  
R. P. Kirchner
Keyword(s):  
Growth Rate ◽  
Stability Analysis ◽  
Kinetic Energy ◽  
Initial Value Problem ◽  
Basic Flow ◽  
The Other ◽  
Time Dependent ◽  
Stability Criteria ◽  
Initial Value ◽  
The Stability

The stability of the flow induced by an impulsively started inner cylinder in a Couette flow apparatus is investigated by using a linear stability analysis. Two approaches are taken; one is the treatment as an initial-value problem in which the time evolution of the initially distributed small random perturbations of given wavelength is monitored by numerically integrating the unsteady perturbation equations. The other is the quasi-steady approach, in which the stability of the instantaneous velocity profile of the basic flow is analyzed. With the quasi-steady approach, two stability criteria are investigated; one is the standard zero perturbation growth rate definition of stability, and the other is the momentary stability criterion in which the evolution of the basic flow velocity field is partially taken into account. In the initial-value problem approach, the predicted critical wavelengths agree remarkably well with those found experimentally. The kinetic energy of the perturbations decreases initially, reaches a minimum, then grows exponentially. By comparing with the experimental results, it may be concluded that when the perturbation kinetic energy has grown a thousand-fold, the secondary flow pattern is clearly visible. The time of intrinsic instability (the time at which perturbations first tend to grow) is about ¼ of the time required for a thousandfold increase, when the instability disks are clearly observable. With the quasi-steady approach, the critical times for marginal stability are comparable to those found using the initial-value problem approach. The predicted critical wavelengths, however, are about 1½ to 2 times larger than those observed. Both of these points are in agreement with the findings of Mahler, Schechter & Wissler (1968) treating the stability of a fluid layer with time-dependent density gradients. The zero growth rate and the momentary stability criteria give approximately the same results.

Ab initio determination of the instability growth rate of warm dense beryllium-deuterium interface

2015 ◽  
Vol 22 (10) ◽  
pp. 102702 ◽  
Author(s):  
Cong Wang ◽  
Zi Li ◽  
DaFang Li ◽  
Ping Zhang
Keyword(s):  
Growth Rate ◽  
Ab Initio ◽  
Instability Growth Rate ◽  
Instability Growth

scholarly journals Effect of Radial Wavevector on Collisional Drift Waves in a Toroidal Heliac

1999 ◽  
Vol 52 (1) ◽  
pp. 71 ◽  
Author(s):  
J. L. V. Lewandowski ◽  
R. M. Ellem
Keyword(s):  
Growth Rate ◽  
Electrostatic Potential ◽  
Growth Rates ◽  
Initial Value Problem ◽  
Linear Growth ◽  
Field Model ◽  
Linear Growth Rate ◽  
Drift Waves ◽  
Initial Value ◽  
Magnetic Shear

A 3-field model for collisional drift waves, in the ballooning representation, for a low-pressure stellarator plasma is presented. In particular, the effect of a finite radial mode number (≡ θk) is studied, and the linear growth rates for the fluctuating plasma density, electrostatic potential and electron temperature are computed numerically by solving the 3-field model as an initial-value problem. Numerical results for a 3-field period stellarator with low global magnetic shear are then presented. It is found that, in a system with small global magnetic shear, the case θk = 0 yields the fastest linear growth rate.

scholarly journals Orbit width scaling of TAE instability growth rate

1995 ◽  
Vol 35 (12) ◽  
pp. 1721-1732 ◽  
Author(s):  
H.V Wong ◽  
H.L Berk ◽  
B.N Breizman
Keyword(s):  
Growth Rate ◽  
Instability Growth Rate ◽  
Instability Growth
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