@article{Gonzalez2010,
author = {Gonz\'{a}lez, Alejandro G. and Diez, Javier A. and Gratton, Roberto
and Campana, Diego M. and Saita, Fernando A.},
title = {Instability of a viscous liquid coating a cylindrical fibre},
journal = {Journal of Fluid Mechanics},
year = {2010},
volume = {651},
pages = {117},
month = mar,
abstract = {The instability of a liquid layer coating the surface of a thin cylindrical
wire is studied experimentally and numerically with negligible gravity
effects. The initial uniform film is obtained as the residual of
a sliding drop, and the thickness measurements are performed with
an anamorphic optical system that compresses the vertical scale (allowing
to observe several wavelengths) and widens the horizontal one (to
follow in detail the evolution of local minima and maxima). Experimental
timelines showing the growth and position of the maxima and minima
are compared with linear theory and fully nonlinear simulations.
A primary mode grows in the early stages of the instability, and
its wavelength $\lambda$1 is not always in agreement with that corresponding
to the maximum growth rate predicted by the linear theory $\lambda$m.
In later stages, a secondary mode appears, whose wavelength is half
that of the primary mode. The behaviour of the secondary mode allows
us to classify the experimental results into two cases, depending
on whether it is linearly stable (case I) or unstable (case II).
In case I, the amplitude of the secondary mode remains small compared
with that of the primary one, while in case II both amplitudes may
become very similar at the end. Thus, the distance between the final
drops may be quite different from that seen between initial protuberances.
The analysis of the experiments allows us to define a simple criterion
based on the comparison between $\lambda$1 and $\lambda$m. Contrary
to the predictions of widely used previous quasi-static theories,
experiments show that the relation between maximum and minimum of
the primary mode is better approximated by a kinematic model based
on the assumption that primary maxima increase as fast as the minima
decrease. Numerical simulations confirm this hypothesis.},
doi = {10.1017/S0022112009993788},
file = {:home/alejandro/.local/share/data/Mendeley Ltd./Mendeley Desktop/Downloaded/Gonz\'{a}lez et al. - 2010 - Instability of a viscous liquid coating a cylindrical fibre.pdf:pdf},
issn = {0022-1120},
url = {http://www.journals.cambridge.org/abstract\_S0022112009993788}
}
@article{Diez2009,
author = {Diez, Javier A and Gonz\'{a}lez, Alejandro G and Kondic, Lou},
title = {Stability of a finite-length rivulet under partial wetting conditions},
journal = {Journal of Physics: Conference Series},
year = {2009},
volume = {166},
pages = {012009},
month = may,
abstract = {We study the stability of a finite-length fluid rivulet at rest on
a partially wetting surface. We consider the problem by including
the intermolecular force (van der Waals interaction) within the framework
of the lubrication approximation. The results are validated by comparison
with numerical simulations of the full nonlinear equation. For finite
length rivulets, we show that the distance between drops after breakup
is very close to the wavelength of maximum growth rate predicted
by the linear theory for infinite rivulets. Finally, we compare theoretical
and numerical results with reported experimental data.},
doi = {10.1088/1742-6596/166/1/012009},
issn = {1742-6596},
keywords = {Fluid dynamics,Soft matter,Surfaces,interfaces and thin films,liquids
and polymers},
publisher = {IOP Publishing},
url = {http://stacks.iop.org/1742-6596/166/i=1/a=012009?key=crossref.d9a04827e2966f9a8fe4bfc3df642ee2}
}
@article{Diez2009a,
author = {Diez, Javier A. and Gonz\'{a}lez, Alejandro G. and Kondic, Lou},
title = {On the breakup of fluid rivulets},
journal = {Physics of Fluids},
year = {2009},
volume = {21},
pages = {082105},
number = {8},
abstract = {We study the stability of rivulets on horizontal substrates. The implemented
model includes the effects of capillarity, fluid-solid interaction,
and gravity if appropriate, within the framework of the lubrication
approximation. We find that the results compare favorably with those
in literature, in the regime where previous analyses are valid. By
isolating the effect of van der Waals interactions for nanoscale
rivulets, and of gravity for macrosize rivulets, we are able to analyze
the influence of these forces on the stability. We discuss in detail
the scaling of the emerging wavelengths (distance between drops formed
after the breakup process) with the rivulet cross-sectional area.
Perhaps surprisingly, we uncover close connection between this scaling
and the one for the breakup of a free-space fluid jet (Rayleigh–Plateau
instability). Finally, we consider rivulets of finite length and
find that the finite size effects are considerably different from
the ones obtained previously for semi-infinite fluid films.},
doi = {10.1063/1.3211248},
file = {:home/alejandro/.local/share/data/Mendeley Ltd./Mendeley Desktop/Downloaded/Diez, Gonz\'{a}lez, Kondic - 2009 - On the breakup of fluid rivulets.pdf:pdf},
issn = {10706631},
keywords = {drops,flow instability,jets,lubrication},
url = {http://link.aip.org/link/PHFLE6/v21/i8/p082105/s1\&Agg=doi}
}
@article{Gomba2007,
author = {Gomba, J. and Diez, J. and Gratton, R. and Gonz\'{a}lez, A. and Kondic,
L.},
title = {Stability study of a constant-volume thin film flow},
journal = {Physical Review E},
year = {2007},
volume = {76},
pages = {046308/1--12},
number = {4},
month = oct,
abstract = {We study the stability of a constant volume of fluid spreading down
an incline. In contrast to the commonly considered flow characterized
by constant fluid flux, in the present problem the base flow is time
dependent. We present a method to carry out consistently linear stability
analysis, based on simultaneously solving the time evolution of the
base flow and of the perturbations. The analysis is performed numerically
by using a finite-difference method supplemented with an integral
method developed here. The computations show that, after a short
transient stage, imposed perturbations travel with the same velocity
as the leading contact line. The spectral analysis of the modes evolution
shows that their growth rates are, in general, time dependent. The
wavelength of maximum amplitude, $\lambda$max, decreases with time
until it reaches an asymptotic value which is in good agreement with
experimental results. We also explore the dependence of $\lambda$max
on the cross sectional fluid area A, and on the inclination angle
$\alpha$ of the substrate. For considered small A’s, corresponding
to small Bond numbers, we find that the dependence of $\lambda$max
on A is in good agreement with experimental data. This dependence
differs significantly from the one observed for the films characterized
by much larger A’s and Bond numbers. We also predict the dependence
of $\lambda$max on the inclination angle $\alpha$.},
doi = {10.1103/PhysRevE.76.046308},
issn = {1539-3755},
url = {http://link.aps.org/doi/10.1103/PhysRevE.76.046308}
}
@article{Gonzalez2007,
author = {Gonz\'{a}lez, A. G. and Diez, J. and Gratton, R. and Gomba, J.},
title = {Rupture of a fluid strip under partial wetting conditions},
journal = {Europhysics Letters},
year = {2007},
volume = {77},
pages = {440011--440015},
number = {February},
abstract = {We study the evolution of a long strip of viscous fluid on a horizontal
glass substrate under partial-wetting conditions. This initial condition
develops into an array of quasi-equidistant drops. The special feature
of this dewetting scenario is that the pearling process, consisting
of successive stages of bulge growth and pinching-off, does not occur
simultaneously along the strip but propagates from the ends toward
the strip center. We find that the footprint of each drop corresponds
to two crossed elliptical shapes and report measurements of the breakup
process and the dewetting dynamics.},
doi = {10.1209/0295-5075/77/44001},
file = {:home/alejandro/.local/share/data/Mendeley Ltd./Mendeley Desktop/Downloaded/Gonz\'{a}lez et al. - 2007 - Rupture of a fluid strip under partial wetting conditions.pdf:pdf},
keywords = {Flow instabilities,Liquid thin films,Low-Reynolds number (creeping)
flows}
}
@article{Diez2005,
author = {Diez, J. and Gonz\'{a}lez, A. G. and Gomba, J. and Gratton, R. and
Kondic, L.},
title = {Unstable spreading of a fluid filament on a vertical plane: Experiments
and simulations},
journal = {Physica D: Nonlinear Phenomena},
year = {2005},
volume = {209},
pages = {49--61},
number = {1-4},
month = sep,
abstract = {We present results of experiments and numerical simulations on the
spreading of a constant volume (CV) of fluid flowing down a vertical
plate in the form of a micrometric thin film. In the experiments,
the initial condition is generated from a horizontal fluid filament
(PDMS) of typical diameter ≈ 0.4 mm, and the flow is probed with
two optical techniques: one based on an anamorphic system, and the
other on the schlieren method. The first one yields the thickness
profile and the second one captures the bidimensional pattern of
the transversal film instability. The numerical simulations are performed
under the lubrication approximation and using a precursor film to
overcome the contact line divergence. The comparison between numerical
and experimental profiles shows a very good agreement, and therefore
allows to estimate the thickness of the precursor film needed to
model the flow. We find that this thin precursor (of thickness 43
nm) is very demanding for the numerical description of the instability,
since it requires the use of a very fine grid. We show that the use
of thicker precursor allows to obtain numerical results which describe
qualitatively well the experimental data. In order to study the early
times of the instability, we develop a linear model to account for
the evolution of the modal amplitudes of the spatial Fourier spectrum
of the contact line of the advancing front (frontline). The model
is in good agreement with both experiments and simulations for the
appropriate precursor film thickness in each case. We find that the
precursor film thickness mainly influences the growth rates of the
unstable modes, but it does not modify the main features of instability
development.},
doi = {10.1016/j.physd.2005.06.026},
issn = {01672789},
keywords = {Contact line,Instability,Liquid thin films},
url = {http://linkinghub.elsevier.com/retrieve/pii/S0167278905002861}
}
@article{Gomba2005,
author = {Gomba, J. and Diez, J. and Gonz\'{a}lez, A. and Gratton, R.},
title = {Spreading of a micrometric fluid strip down a plane under controlled
initial conditions},
journal = {Physical Review E},
year = {2005},
volume = {71},
pages = {016304/8--11},
number = {1},
month = jan,
abstract = {We experimentally study the spreading of a small volume of silicon
oil down a vertical plane with small Bond number. The initial condition
is characterized by a horizontal long fluid strip with cross sectional
area A and width w0. We find that the experiments are characterized
by a unique nondimensional parameter, R∝w04∕(a2A), where a is
the capillary length. An empirical criterium to estimate the onset
of the contact line instability is established. The later rivulet
formation at the contact line leads to a pattern which is characterized
by a dominant wavelength. We find that this wavelength is approximately
proportional to R−1∕4.},
doi = {10.1103/PhysRevE.71.016304},
issn = {1539-3755},
url = {http://link.aps.org/doi/10.1103/PhysRevE.71.016304}
}
@article{Gonzalez2004,
author = {Gonz\'{a}lez, A. G. and Diez, J. and Gomba, J. and Gratton, R. and
Kondic, L.},
title = {Spreading of a thin two-dimensional strip of fluid on a vertical
plane: experiments and modeling.},
journal = {Physical Review E - Statistical, Nonlinear and Soft Matter Physics},
year = {2004},
volume = {70},
pages = {026309},
number = {2 Pt 2},
abstract = {We study the thin-film flow of a constant volume of silicon oil (polydymethilsiloxane)
spreading down a vertical glass plate. The initial condition is generated
from a horizontal fluid filament of typical diameter 0.4 mm. Two
optical diagnostic methods are used: One based on an anamorphic system,
and the other on the Schlieren method. The first one allows for a
detailed characterization of the early stable stage of the spreading
which is used to estimate the thickness of the precursor film needed
to model the flow. The second one captures the bidimensional pattern
of the transversal film instability. We use these techniques to determine
the film thickness profiles, and the evolution of the moving contact
line, including its shape and Fourier spectra. The numerical simulations
of the stable stage of spreading are in good quantitative agreement
with the experimental results. We develop a model based on linear
stability theory that predicts the evolution of the modes present
in the linear stage of the instability.},
doi = {10.1103/PhysRevE.70.026309},
file = {:home/alejandro/.local/share/data/Mendeley Ltd./Mendeley Desktop/Downloaded/Gonz\'{a}lez et al. - 2004 - Spreading of a thin two-dimensional strip of fluid on a vertical plane experiments and modeling..pdf:pdf},
institution = {Instituto de F\'{\i}sica Arroyo Seco, Universidad Nacional del Centro
de la Provincia de Buenos Aires, Pinto 399, 7000 Tandil, Argentina.
aggonzal@exa.unicen.edu.ar},
issn = {1539-3755},
pmid = {15447590},
url = {http://link.aps.org/doi/10.1103/PhysRevE.70.026309}
}
@article{Gonzalez2002,
author = {Gonz\'{a}lez, Alejandro G. and Julio, G. and Gratton, Fausto T. and
Farrugia, Charles J.},
title = {Compressible Kelvin-Helmholtz instability at the terrestrial magnetopause},
journal = {Brazilian Journal of Physics},
year = {2002},
volume = {32},
pages = {945},
number = {4},
abstract = {The compressible magnetohydrodynamic Kelvin-Helmholtz instability
occurs in two varieties, one that can be called incompressible as
it exists in the limit of vanishing compressibility (primary instability),
while the other exists only when compressibility is included in the
model (secondary instability). In previous work we developed techniques
to investigate the stability of a surface of discontinuity between
two different uniform ows. Our treatment includes arbitrary jumps
of the velocity and magnetic fields as well as of density and temperature,
with no restriction on the wave vector of the modes. Then it allows
stability analyses of complex configurations not previously studied
in detail. Here we apply our methods to investigate the stability
of various typical situations occurring at different regions of the
front side, and the near anks of the magnetopause. The physical conditions
of the vector and scalar fields that characterize the equilibrium
interface at the positions considered are obtained both from experimental
data and from results of simulation codes of the magnetosheath available
in the literature. We give particular attention to the compressible
modes in configurations in which the incompressible modes are stabilized
by the magnetic shear. For configurations of the front of the magnetopause,
which have small relative velocities, we find that the incompressible
MHD model gives reliable estimates of their stability, and compressibility
effects do not introduce significant changes. However, at the anks
of the magnetopause the occurrence of the secondary instability and
the shift of the boundary of the primary instability play an important
role. Consequently, configurations that are stable if compressibility
is neglected turn out to be unstable when it is considered and the
stability properties are quite sensitive on the values of the parameters.
Then compressibility should be taken into account when assessing
the stability properties of these configurations, since the estimates
based on incompressible MHD may be misleading. A careful analysis
is required in each case, since no simple rule of thumb can be given.},
doi = {10.1590/S0103-97332002000500021},
issn = {0103-9733},
url = {http://en.scientificcommons.org/1451274 http://www.scielo.br/scielo.php?pid=S0103-97332002000500021\&script=sci\_arttext\&tlng=en}
}
@article{Gonzalez2001,
author = {Gonz\'{a}lez, Alejandro G. and Gonz\'{a}lez, Marisa and Gratton,
Julio},
title = {The Kelvin-Helmholtz instability in compressible plasmas with magnetic
field shear},
journal = {AIP Conference Proceedings},
year = {2001},
volume = {563},
pages = {47--52},
number = {1},
month = apr,
abstract = {We investigate the effect of compressibility and magnetic field shear
on the Kelvin-Helmholtz instability in compressible stratified plasmas.
We obtain two main results. First, for sufficiently low velocities
the compressibility stabilizes the unstable modes present in an incompressible
model (called main modes). This represents an important difference
with the case without magnetic field shear. Second, new unstable
modes appear (called secondary) which owe their existence to compressive
perturbations. The secondary modes (of compressive character) determine
the stability for values of velocity of the unperturbed flow that
correspond to stable primary modes. In these cases the compressive
modes do not disappear and may have appreciable growth rates. Therefore,
compressibility effects may be relevant when discussing the stability
of problems with magnetic field shear. Diagrams of stability and
growth rates are shown thatallow an easy visualization of the stability
properties of aconfiguration.},
doi = {10.1063/1.1374884},
keywords = {compressible flow,magnetic fields,plasma instability,plasma magnetohydrodynamics,plasma
simulation,shear flow},
publisher = {AIP},
shorttitle = {AIP Conf. Proc.},
url = {http://link.aip.org/link/?APC/563/47/1}
}
@article{Gonzalez1996,
author = {González, Alejandro G. and Gratton, Julio},
title = {Reaction forces on a ladder leaning on a rough wall},
journal = {American Journal of Physics},
year = {1996},
volume = {64},
pages = {1001--1005},
number = {8},
month = aug,
abstract = {The determination of the reactions on a ladder is discussed including
friction against the wall. In a recent article, this problem was
studied considering elastic compression and it was argued that an
additional condition holds that allows one to find all the reactions.
We show that this condition is incorrect for typical ladders, when
flexion is important. We clarify the issues of static determinacy
by means of an analysis that takes into account both compression
and flexion. We find that when the climber arrives at the top, the
result depends on which deformation prevails. We conclude that the
reactions can never be determined using only statics, because there
is no way to ascertain which kind of deformation dominates, and so
which limiting condition will be attained, if any.},
doi = {10.1119/1.18317},
file = {:home/alejandro/.local/share/data/Mendeley Ltd./Mendeley Desktop/Downloaded/González, Gratton - 1996 - Reaction forces on a ladder leaning on a rough wall.pdf:pdf},
issn = {00029505},
language = {en},
url = {http://adsabs.harvard.edu/abs/1996AmJPh..64.1001G}
}
@article{Gonzalez1994,
author = {Gonz\'{a}lez, AG and Gratton, J.},
title = {The role of a density jump in the Kelvin—Helmholtz instability
of compressible plasma},
journal = {Journal of Plasma Physics},
year = {1994},
volume = {32},
pages = {223--244},
number = {2},
abstract = {The hydromagnetic Kelvin–Helmholtz instability is relevant in many
complex situations in astrophysical and laboratory plasmas. Many
cases of interest are very complicated, since they involve the combined
role of velocity shear, of density and magnetic field stratification,
and of various geometries in compressible plasmas. In the present
work we continue investigating the influence of various physical
and geometrical parameters of the plasma on the Kelvin–Helmholtz
modes. We use the general dispersion relation for the ideal compressible
MHD modes localized near a velocity discontinuity between two uniform
plasmas. We study analytically the existence and properties of the
modes and their stability, for a velocity jump combined with a density
jump, and for any relative orientation of B, u and k (B is continuous).
Stability is analysed by means of a general procedure that allows
discussion of any configuration and all kinds of perturbations. The
boundaries between modes of different kinds are discussed. In contrast
to the case of uniform density, for a density jump there are no monotonically
unstable modes, only overstabilities. The unstable modes belong to
two types. Those with the largest growth rates tend to monotonically
unstable modes in the limit of uniform density, and are related to
the torsional Alfv\'{e}n mode. The other overstable modes have no
analogue among the purely incompressible modes, and occur in a range
of U that is stable in the incompressible limit. We derive bounds
for the growth rate of the instability. The present results may serve
as a guide to interpret results in more complicated and realistic
situations as those occurring in laboratory and natural plasmas.},
doi = {10.1017/S0022377800017888},
url = {http://journals.cambridge.org/abstract\_S0022377800017888}
}
@article{Gonzalez1994a,
author = {Gonz\'{a}lez, AG and Gratton, J.},
title = {The Kelvin–Helmholtz instability in a compressible plasma: the
role of the orientation of the magnetic field with respect to the
flow},
journal = {Journal of Plasma Physics},
year = {1994},
volume = {51},
pages = {43--60},
number = {01},
abstract = {The hydromagnetic Kelvin–Helmholtz instability is relevant in many
complex situations in astrophysical and laboratory plasmas. Many
cases of interest are very complicated, since they involve the combined
roles of velocity shear, density and magnetic field stratification,
and various geometries in compressible plasmas. The present work
is part of a systematic investigation of the influence of the various
physical and geometrical parameters characterizing the plasmas on
the Kelvin–Helmholtz modes. The general dispersion relation for
ideal compressible MHD modes localized near a velocity discontinuity
between two uniform plasmas is derived. The existence and characteristics
of the modes and their stability are studied analytically for any
relative orientation of B, u and k, for continuous B and $\rho$.
It is shown that the stability of a given configuration cannot be
determined by considering only special orientations of k (say flute
or parallel modes). The results obtained here may serve as a guide
to interpret results in more complicated and realistic situations,
such as those occurring in experiments and natural plasmas.},
doi = {10.1017/S0022377800017384},
issn = {0022-3778},
publisher = {Cambridge Univ Press},
url = {http://journals.cambridge.org/abstract\_S0022377800017384}
}
@article{Gonzalez1990,
author = {Gonzalez, AG and Gratton, Julio},
title = {Compressibility effects on the gravitational instability of a plasma-vacuum
interface},
journal = {Plasma Physics and Controlled Fusion},
year = {1990},
volume = {32},
pages = {3--19},
number = {1},
abstract = {The stability of gravitational compressible surface modes of a plasma-vacuum
interface is investigated. Stratified equilibrium profiles of density
and magnetic field in the plasma are considered. The corresponding
boundary conditions for magnetohydrodynamic linear perturbations
are deduced. Three types of surface normal modes (slow, intermediate
and fast) may appear. The slow mode is unstable below a critical
wavenumber. The stability criterion is affected in general by the
compressibility. The growth rate of the unstable modes is increased
by compressibility. It is shown that for 'flute' or pure interchange
modes with respect to the vacuum magnetic field (but not with respect
to the equilibrium magnetic field in the plasma) the compressibility
enlarges the instability domain of surface modes. The interval of
existence of unstable surface perturbations, as well as their growth
rates, are larger than those of the internal unstable modes. Intervals
of non-existence of surface modes appear for the flute perturbations
with respect to the plasma magnetic field. The critical values of
the wavenumber below which the modes are unstable, are discussed
in general.},
doi = {10.1088/0741-3335/32/1/001},
url = {http://iopscience.iop.org/0741-3335/32/1/001}
}
@article{Gonzalez1989,
author = {Gonz\'{a}lez, Alejandro G. and Gratton, Julio},
title = {Comments on "Linear waves and stability in ideal magnetohydrodynamics"
[Phys. Fluids 30, 3673 (1987)]},
journal = {Physics of Fluids B: Plasma Physics},
year = {1989},
volume = {1},
pages = {1339},
number = {6},
abstract = {It is shown that the most dangerous modes for stability of the slab
geometry case considered by Eckhoff are not flute modes but quasi‐interchange
perturbations},
doi = {10.1063/1.858962},
keywords = {FLUIDS,MAGNETOHYDRODYNAMICS,OSCILLATION MODES,SLABS,STABILITY},
mendeley-tags = {FLUIDS,MAGNETOHYDRODYNAMICS,OSCILLATION MODES,SLABS,STABILITY},
url = {http://pop.aip.org/resource/1/pfbpei/v1/i6/p1339\_s1}
}
@article{Gratton1988,
author = {Gratton, J. and Gratton, FT and Gonz\'{a}lez, AG},
title = {Convective instability of internal modes in accelerated compressible
plasmas},
journal = {Plasma Physics and Controlled Fusion},
year = {1988},
volume = {30},
pages = {435},
number = {4},
abstract = {A compact second order differential equation for small amplitude magnetohydrodynamic
modes of a plasma stratification in a uniform effective gravity field
is derived. The steady state includes non-uniform density, mass motion,
magnetic shear and non-isotropic pressure, given by arbitrary profiles.
The perturbation treatment is of the magnetohydrodynamic class, with
two closure equations for the time evolution of the pressure, in
order to encompass ideal MHD, the Chew et al. (1956) and other non-isotropic
models. As an application a detailed study of the compressible, convective-gravity
modes in the ideal isotropic MHD case is presented. Local criteria
for the convective instability are first obtained by means of physically
intuitive arguments for unidirectional and for sheared magnetic field.
In both instances a rigorous variational energy treatment is then
provided. In the second case, a criterion analogous to that of B.R.
Suydam (1958) for the pinch is shown to hold for plasma atmospheres.
Global internal modes for an isothermal equilibrium with unidirectional
magnetic field are then analysed. Stability criteria and growth rates
of the unstable modes are studied. Areas of application of the reported
results are indicated.},
doi = {10.1088/0741-3335/30/4/014},
publisher = {IOP Publishing},
url = {http://iopscience.iop.org/0741-3335/30/4/014}
}
@article{Gratton1986,
author = {Gratton, FT and Gonzalez, AG},
title = {The influence of viscosity and magnetic shear on Rayleigh-Taylor
modes of plasma},
journal = {Plasma Physics and Controlled Fusion},
year = {1986},
volume = {28},
pages = {18071821},
number = {1976},
abstract = {The equations of gravitational modes of stratified, incompressible
and ideally conducting fluids, with a viscous tensor in a sheared
magnetic field are given. Boundary conditions at fluid discontinuities
are derived. Properties of the frequency spectrum are obtained from
variational principles. A detailed description of the modes and the
Rayleigh-Taylor instability is given for a plasma-vacuum interface,
with different magnetic fields on each side, in three cases: isotropic
viscous properties, vc>> omega ci( omega ci, ion cyclotron frequency;
vc, ion collision frequency) and non isotropic viscous properties
in the limit omega ci>>vc for k//B0, which is dominated by dissipative
forces and for k perpendicular to B0, which is governed by gyroscopic
forces. Applications of the theory to accelerated plasmas are discussed},
doi = {10.1088/0741-3335/28/12A/006},
publisher = {IOP Publishing},
url = {http://iopscience.iop.org/0741-3335/28/12A/006}
}
@article{Gratton1984,
author = {Gratton, Fausto T. and González, Alejandro G.},
title = {A minimum dissipation principle for the Rayleigh-Taylor problem in
viscous magnetohydrodynamics},
journal = {Physics Letters A},
year = {1984},
volume = {105},
pages = {365--367},
number = {7},
month = oct,
abstract = {A variational principle for magnetohydrodynamic gravitational modes,
including isotropic viscosity and the shear of magnetic field lines,
is given. It is shown to imply a minimum dissipation requirement
for the modes. A sufficient condition for stability given in the
literature for the case of ordinary fluids is corrected here.},
doi = {10.1016/0375-9601(84)90282-2},
issn = {03759601},
keywords = {GRAVITATIONAL FIELDS,LAGRANGE MULTIPLIERS,MAGNETOHYDRODYNAMIC FLOW,MAGNETOHYDRODYNAMIC
STABILITY,PLASMA TURBULENCE,PLASMA-ELECTROMAGNETIC INTERACTION,REYNOLDS
NUMBER,TAYLOR INSTABILITY,VARIATIONAL PRINCIPLES,VISCOUS FLOW},
language = {en},
url = {http://linkinghub.elsevier.com/retrieve/pii/0375960184902822}
}
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