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Magnetostatic Boundary Conditions01:28

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An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular component of a magnetic field is continuous across the interface of two magnetic mediums. In contrast, its parallel component, perpendicular to the current, is discontinuous by the amount equal to the product of the vacuum permeability and the surface current. Like the scalar potential in electrostatics, the vector potential is also continuous...
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Magnetically Induced Rotating Rayleigh-Taylor Instability
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Crisis-induced flow reversals in magnetoconvection.

Manojit Ghosh1, Ankan Banerjee1, Pinaki Pal1

  • 1Department of Mathematics, National Institute of Technology, Durgapur 713209, India.

Physical Review. E
|August 20, 2021
PubMed
Summary
This summary is machine-generated.

Flow reversals in fluid convection were triggered by a crisis where chaotic attractors merged. This phenomenon, observed in electrically conducting fluids under a magnetic field, leads to complex fluid dynamics.

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Area of Science:

  • Fluid Dynamics
  • Magnetohydrodynamics
  • Nonlinear Dynamics

Background:

  • Rayleigh-Bénard convection is a fundamental model for studying heat transport and fluid instabilities.
  • Electrically conducting fluids and external magnetic fields introduce complex magnetohydrodynamic effects.
  • Low-Prandtl-number fluids exhibit distinct convective behaviors compared to common fluids.

Purpose of the Study:

  • To investigate flow reversal phenomena in Rayleigh-Bénard convection.
  • To explore the role of attractor-merging crises in inducing these reversals.
  • To analyze the influence of magnetic field strength on flow reversal dynamics.

Main Methods:

  • Numerical simulations of fluid convection in the presence of a magnetic field.
  • Analysis of phase space dynamics to identify attractor merging.
  • Characterization of flow reversals and their dependence on system parameters.

Main Results:

  • Flow reversals were observed and linked to an attractor-merging crisis.
  • The crisis involves the collision of coexisting chaotic attractors with an unstable fixed point.
  • A single merged chaotic attractor emerges, governing the system's dynamics.
  • The strength of the magnetic field significantly affects the flow reversal phenomena.

Conclusions:

  • Attractor-merging crises can induce significant flow reversals in magnetoconvection.
  • Magnetic field strength is a critical parameter controlling flow reversal behavior.
  • The study provides insights into complex dynamics in electrically conducting fluids.