Online citations, reference lists, and bibliographies.
Please confirm you are human
(Sign Up for free to never see this)
← Back to Search

Two-component Bénard Convection: Interfacial Deformation, Oscillatory Instabilities And The Onset Of Turbulence

M. Velarde
Published 1983 · Materials Science

Save to my Library
Download PDF
Analyze on Scholarcy
Share
Abstract Instabilities and convection in binary fluid mixtures (liquids with impurities, binary gas mixtures, etc.) have been the subject of intense research over the past decade. The major finding has been that mere ppm impurity concentration can play a drastic role in the stability of fluid layers subjected to thermal gradients. For layers open to ambient air the impurity cooperates or competes according to the sign of its migration in the thermal fields with the interfacial deformation thus leading to convective flows. For a layer enclosed between copper plates, say, the impurity can interplay with the slightest buoyancy or buoyancy variations in the environment thus amplifying this force and bringing instability under circumstances where with pure fluids no instability is expected. Recent predictions reported here refer to oscillatory instabilities with or without interfacial deformation and the onset of turbulence in the form of chaotic flows which correspond to irregular patterns with decaying correlations and broadband noise in their power spectra.
This paper references
10.1515/jnet.1980.5.2.111
Microgravity and the Thermoconvective Stability of a Binary Liquid Layer Open to the Ambient Air
J. Castillo (1980)
10.1063/1.1693766
Thermal Diffusion and Convective Stability. II. An Analysis of the Convected Fluxes
M. Velarde (1972)
10.1016/0375-9601(78)90406-1
Thermal diffusion and the Marangoni-Benard instability of a two-component fluid layer heated from below
J. Castillo (1978)
10.1017/S0022112064000751
On cellular convection driven by surface-tension gradients: effects of mean surface tension and surface viscosity
L. Scriven (1964)
10.1115/1.3424123
Convective stability of incompressible fluids
G. Z. Gershuni (1976)
10.1038/187186A0
The Marangoni Effects
L. Scriven (1960)
10.1007/BF00253245
Convective instability in a temperature and concentration field
C. Shir (1968)
10.1051/JPHYS:01975003607-8059100
On the /non linear/ foundations of Boussinesq approximation applicable to a thin layer of fluid
R. Cordon (1975)
10.1016/0375-9601(79)90667-4
Phase transition picture of the soret-driven convective instability in a two-component liquid layer heated from below
M. Velarde (1979)
10.1017/S0022112081002139
Nonlinear periodic convection in double-diffusive systems
E. Knobloch (1981)
10.1143/PTP.66.717
Strange Attractor (Optical Turbulence) in a Model Problem for the Laser with Saturable Absorber and the Two-Component Bénard Convection
M. Velarde (1981)
10.1016/0375-9601(81)90882-3
Bifurcations in a model of double-diffusive convection
E. Knobloch (1981)
10.1016/0021-8928(71)90043-8
Convective instability of a binary mixture, particularly in the neighborhood of the critical point: PMM vol. 35, n≗2, 1971, pp. 375–384
V. A. Shteinberg (1971)
10.1016/0375-9601(80)90004-3
Laser with saturable absorber and two-component benard convection: Limit cycle behaviour
M. Velarde (1980)
10.1017/S0022112081000918
Oscillations in double-diffusive convection
L. Costa (1981)
10.1016/0009-2614(71)85073-X
Thermal diffusion and convective stability (III): A critical survey of Soret coefficient measurements
M. Velarde (1971)
10.1103/REVMODPHYS.49.581
Convective instability: A physicist's approach
C. Normand (1977)
10.1002/AIC.690050421
Interfacial turbulence: Hydrodynamic instability and the marangoni effect
C. V. Sternling (1959)
10.1063/1.1694265
Thermal oscillations in convecting fluids
D. Hurle (1973)
10.1143/JPSJ.28.810
Nature of the Neutral State in Convective Instability Induced by Surface Tension and Buoyancy
M. Takashima (1970)
10.1017/S0022112071001319
Soret-driven thermosolutal convection
D. Hurle (1971)
10.1051/JPHYS:01976003703017700
On the (non-linear) foundations of boussinesq approximation applicable to a thin layer of fluid. (II). viscous dissipation and large cell gap effects
M. Velarde (1976)
10.1017/S0022112080000274
Energy stability theory for free-surface problems: buoyancy-thermocapillary layers
S. Davis (1980)



Semantic Scholar Logo Some data provided by SemanticScholar