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Space charge coupled interfacial waves

 

作者: Markus Zahn,  

 

期刊: Physics of Fluids(00319171)  (AIP Available online 1974)
卷期: Volume 17, issue 2  

页码: 343-352

 

ISSN:0031-9171

 

年代: 1974

 

DOI:10.1063/1.1694721

 

出版商: AIP

 

数据来源: AIP

 

摘要:

The propagation and instability characteristics of small signal interfacial waves are examined for charged fluids in planar, cylindrical, and spherical equilibrium. The configurations discussed are electrohydrodynamic versions of the classic fluid mechanical problems of the Rayleigh‐Taylor instability with superposed charged layers, of interfacial capillary oscillations of charged liquid cylinders, and extensions of Rayleigh's and Bohr's analysis of charged spherical drops under surface tension. In these geometries, a liquid which is either electrically perfectly conducting with surface charge or perfectly insulating and polarizable with volume charge is immersed within a uniformly charged perfectly insulating region. Using a general set of relations for perturbation field and flow variables defined for a “prototype” layer, the dispersion characteristics for these two limits are easily derived using interfacial boundary conditions and are compared in each of the geometries. For all cases, the system tends to be stabilized if the charges in each region are of opposite sign.

 

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