Title

Temperature-Concentration (Activator-Inhibitor) Model Of Magnetic Fluid Free Surface Autooscillations Induced By Absorption Of Light

Abstract

The competitive influence of temperature and concentration perturbations on the position of the free surface of a magnetic liquid film under heating by a laser is considered. Assuming that the characteristic thermal relaxation time is small in comparison with the charaaeristic hydrodynamic time of motion of the magnetic liquid film and the diffusion time of magnetic particles across the Gaussian beam, the simple physical model for the free surface and concentration dynamics is formulated which has much in common with the activator-inhibitor model considered with respect to different problems in chemistry and biology. It is shown that a small parameter - the ratio of hydrodynamic and diffusion times exists - in the problem and the set of equations is reduced to a similar one considered in the mathematical literature concerning the singular Hopf bifurcation. The existence of the Hopf bifurcation in the proposed model is illustrated and the characteristic properties of the corresponding bifurcation diagram indicated. Considering the oscillating solutions with large amplitude, it is shown that the model proposed gives sawtooth oscillations similar to that observed in experiment for the diameter of the diffraction rings arising in the magnetic liquid due to the thermal lens effect.

Publication Date

1-1-1996

Publication Title

Magnetohydrodynamics

Volume

32

Issue

3

Number of Pages

303-314

Document Type

Article

Personal Identifier

scopus

Socpus ID

85044571546 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/85044571546

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