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Numerical modelling of Coulomb-driven convection in insulating liquids

Published online by Cambridge University Press:  10 August 1997

R. CHICÓN ,
A. CASTELLANOS  and
E. MARTIN
R. CHICÓN
Affiliation:
Departamento de Fisica, Universidad de Murcia, Apdo. 4021, 30071 Murcia, Spain
A. CASTELLANOS
Affiliation:
Departamento de Electrónica y Electromagnetismo, Facultad de Fisica, Avda. Reina Mercedes s/n, 41012 Sevilla, Spain
E. MARTIN
Affiliation:
Departamento de Fisica, Universidad de Murcia, Apdo. 4021, 30071 Murcia, Spain
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Abstract

Electroconvection in a layer of liquid subjected to unipolar injection is characterized by two stability criteria, a linear and a nonlinear one, with an associated hysteresis loop. Experimentally it is found that the velocity field fluctuates around its mean value. A temporal analysis of the measured current, which is directly related to the velocity, revealed the existence of a well-defined frequency correlated to the mean rotation time of a fluid particle in the convective cell, thus indicating that these fluctuations are not stochastic but related to the intrinsic dynamics of the system. Here a method of superparticles is used to solve the problem of the non-stationary electroconvection of the liquid. A good agreement between theoretical and experimental results is obtained.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 344 , 10 August 1997 , pp. 43 - 66
Copyright
© 1997 Cambridge University Press

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