Rarefaction–undercompressive fronts in driven films
We consider experiments by Ludviksson and Lightfoot [AIChE J. 17, 1166 (1971)] on thin liquid films driven up a vertical plate by a thermally induced surface tension gradient with a counteracting grav...
We consider experiments by Ludviksson and Lightfoot [AIChE J. 17, 1166 (1971)] on thin liquid films driven up a vertical plate by a thermally induced surface tension gradient with a counteracting grav...
New instability modes of a diffusion flame near extinction
The linear temporal stability of a diffusion flame, modeled with a simplified one-dimensional approach, in a two-dimensional mixing layer is investigated. In addition to the well-known "shear&quo...
The linear temporal stability of a diffusion flame, modeled with a simplified one-dimensional approach, in a two-dimensional mixing layer is investigated. In addition to the well-known "shear&quo...
Flow state multiplicity in convection
Phys. Fluids 11, 2815 (1999); doi:10.1063/1.870178
Issue Date: October 1999
You are not logged in to this journal. Log in
Pattern formation in a layer of fluid heated from below is an example of macroscopic ordering in continuous media. Here we show that in a relatively compact experimental version of the problem, a rich and diverse set of stable flows can be found. These flows, many of which are novel, can be categorized and understood in terms of their symmetry properties. This approach shows promise for providing insight into the more complicated fluid motion that occurs as the lateral dimension of the layer is increased. ©1999 American Institute of Physics.
| History: | Received 7 December 1998; accepted 15 June 1999 |
| Permalink: |
http://link.aip.org/link/?PHFLE6/11/2815/1 |
| BUY THIS ARTICLE | (US$24) |
|
|
Connotea
CiteULike
del.icio.us
BibSonomy
REFERENCES (13)
For access to fully linked references, you need to log in.
For access to fully linked references, you need to Log in.
- G. S. Charlson and R. L. Sani, "Finite amplitude axisymmetric thermoconvective flows in a bounded cylindrical layer of fluid,"
J. Fluid Mech. 71, 209 (1975) . - K. Stork and U. Müller, "Convection in boxes: an experimental investigation in vertical cylinders and annuli,"
J. Fluid Mech. 71, 231 (1975) . - S. Rosenblat, "Thermal convection in a vertical circular cylinder,"
J. Fluid Mech. 122, 395 (1982) . - J. C. Buell and I. Catton, "The effect of wall conduction on the stability of a fluid in a right circular cylinder heated from below,"
Trans. ASME, J. Heat Transfer 105, 255 (1983) . - G. Müller, G. Neumann, and W. Weber, "Natural convection in vertical Bridgman configurations,"
J. Cryst. Growth 70, 78 (1984) . - G. Neumann, "Three-dimensional numerical simulation of buoyancy-driven convection in vertical cylinders heated from below,"
J. Fluid Mech. 214, 559 (1990) . - G. R. Hardin and R. L. Sani, "Buoyancy-driven instability in a vertical cylinder: binary fluids with Soret effect. II. Weakly nonlinear solutions,"
Int. J. Numer. Methods Fluids 17, 755 (1993) . - M. Wanschura, H. C. Kuhlmann, and H. J. Rath, "Three-dimensional instability of axisymmetric buoyant convection in cylinders heated from below,"
J. Fluid Mech. 326, 399 (1996) . - R. Touihri, H. Ben Hadid, and D. Henry, "On the onset of convective instabilities in cylindrical cavities heated from below. Part One: Pure thermal case," preprint, 1998.
- M. C. Cross and P. C. Hohenberg, "Pattern formation outside of equilibrium," Rev. Mod. Phys. 65, 851 (1993).
- F. H. Busse, "Transition to turbulence in Rayleigh–Benard convection," in Hydrodynamic Instability and the Transition to Turbulence, Topics in Applied Physics, edited by H. L. Swinney and J. P. Gollub (Springer-Verlag, Berlin, 1984), Vol. 45, p. 97.
- T. B. Benjamin, "Bifurcation phenomena in a viscous fluid I. Theory,"
Proc. R. Soc. London, Ser. A 359, 1 (1978) . - M. Golubitsky and D. Schaeffer, "A discussion of symmetry and symmetry breaking," Proc. of Symposia in Pure Mathematics, 1983, Vol. 40, Part 1, p. 499.
