Onset of Natural Convection Under Electric Field
Onset of Natural Convection Under Electric Field
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电场下自然对流的开始
DOI：
10.1299/kikaib.58.1313
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发表时间：
1992
期刊：
影响因子：
--
通讯作者：
I. Tanasawa
中科院分区：
文献类型：
--
作者：
T. Maekawa;K. Abe;I. Tanasawa
从理论上研究了交、直流电场中的对流不稳定性问题。线性化的扰动方程求解的Galerkin方法的临界交流或直流电瑞利数，临界瑞利数和临界Marangoni数表示为本征值。结果表明，在交流电场作用下，临界交流电场瑞利数、临界瑞利数和临界Marangoni数均随电场的增大而减小。在直流电场作用下，当无量纲参数S和K较小时，临界直流电瑞利数、临界瑞利数和临界Marangoni数随电场的增大而增大;当S和K较大时，临界直流电瑞利数、临界瑞利数和临界Marangoni数随电场的增大而减小.
The convective instability problem in ac and dc electric field is studied theoretically. Linearized perturbation equations are solved by the Galerkin method where the critical ac or dc electric Rayleigh number, the critical Rayleigh number and the critical Marangoni number are expressed as eigen values. It is found that the critical ac electric Rayleigh number, the critical Rayleigh number and the critical Marangoni number become smaller as electric field increases in the case of ac electric field. However, in the case of dc electric field, the critical dc electric Rayleigh number, the critical Rayleigh number and the critical Marangoni number increase with increasing electric field when nondimensional parameters S and K are small while the critical dc electric Rayleigh number, the critical Rayleigh number and the critical Marangoni number decrease with increasing electric field when S and K are large.