Sequential bifurcations in sheared annular electroconvection.

@article{Daya2002SequentialBI,
  title={Sequential bifurcations in sheared annular electroconvection.},
  author={Zahir A. Daya and Vatche B Deyirmenjian and Stephen Morris},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2002},
  volume={66 1 Pt 2},
  pages={
          015201
        }
}
  • Z. Daya, V. Deyirmenjian, S. Morris
  • Published 2 November 2001
  • Mathematics, Medicine, Physics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
A sequence of bifurcations is studied in a one-dimensional pattern forming system subject to the variation of two experimental control parameters: a dimensionless electrical forcing number R and a shear Reynolds number Re. The pattern is an azimuthally periodic array of traveling vortices with integer mode number m. Varying R and Re permits the passage through several codimension-two (CoD2) points. We find that the coefficients of the nonlinear terms in a generic Landau equation for the primary… Expand

Topics from this paper

A matrix-free numerical bifurcation method applied to sheared annular electroconvection
We investigate the flow transitions in sheared annular electroconvection using matrixfree numerical bifurcation methods. In particular, we study a model that simulates a liquid crystal film in theExpand
Direct numerical simulation of supercritical annular electroconvection.
TLDR
Direct numerical simulation is used to study electrically driven convection in an annular thin film that consists of a weakly conducting, submicron thick liquid crystal film suspended between two concentric electrodes and reveals several insights. Expand
Electroconvection of thin liquid crystals: Model reduction and numerical simulations
TLDR
Compared for the infinite electrodes configuration, the numerical simulations indicate that slim electrodes are favorable for electroconvection to occur and are able to sustain the phenomena over long period of time. Expand
Charge transport scaling in turbulent electroconvection.
  • P. Tsai, Z. Daya, S. Morris
  • Physics, Medicine
  • Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2005
TLDR
A local-power-law scaling theory for the mean dimensionless electric current Nu in turbulent electroconvection predicts the local- power law Nu approximately F(gamma)R(Gamma)P(delta), which are dimensionless numbers that are similar to the Rayleigh and Prandtl numbers of thermal convection, respectively. Expand
The route to chaos and turbulence in annular electroconvection
Apparatus and method for attenuating effects of externally generated vibration applied along multiple axes of a disc drive. The disc drive includes a disc with a recording surface, a read/write headExpand
Aspect ratio effect on electroconvection in a suspended liquid crystal film with a rectangular boundary
The aspect ratio dependence of the electroconvection phenomenon in a suspended nematic liquid crystal film with a rectangular boundary is investigated. Two-dimensional global stability analysis isExpand
Crystallization tendencies of modelled Lennard-Jones liquids with different attractions.
TLDR
This work investigates the precise role of the attractive part of the interaction potential on different structural, dynamical, and thermodynamical properties of these systems in the liquid and crystalline states. Expand

References

The Couette-Taylor Problem
This monograph presents a systematic and unified approach to the non-linear stability problem and transitions in the Couette-Taylor problem, by the means of analytic and constructive methods. TheExpand