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Published on: August 26, 2019
Bifurcation analysis in a vortex flow generated by an oscillatory magnetic obstacle
Alberto Beltrán1, Eduardo Ramos, Sergio Cuevas
1Centro de Investigación en Energía, Universidad Nacional Autónoma de México, AP 34, Temixco, Morelos 62580, Mexico. albem@cie.unam.mx
Summary
This study models fluid flow from oscillating magnetic fields. Periodic vortices form, switching direction twice per cycle, with complexity depending on oscillation frequency.
Area of Science:
- Fluid dynamics
- Magnetohydrodynamics
- Computational physics
Background:
- Localized magnetic fields can induce fluid flow in conducting fluids.
- Understanding flow patterns is crucial for applications in various engineering fields.
Purpose of the Study:
- To numerically simulate and theoretically model 2D fluid flow induced by harmonic magnetic field oscillations.
- To analyze the resulting laminar flow patterns and their dependence on key parameters.
Main Methods:
- Numerical simulation of fluid flow.
- Theoretical modeling using a local analysis approach.
- Analysis of critical points in instantaneous streamlines.
Main Results:
- Periodic laminar flow patterns characterized by counter-rotating vortices.
- Vortices switch rotation direction twice per cycle.
- Flow topology complexity increases with oscillation frequency (Reynolds number).
Conclusions:
- A theoretical model accurately predicts numerical findings for flow patterns.
- The study elucidates the role of critical points in flow field transformations.
- The findings offer insights into magnetohydrodynamic flow control.
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