Kelvin-Helmholtz Instability of Cylindrical Geometry for Micro-dimensional Range of Wavelengths

Abstract: The goal of this research is to determine input parameters necessary for a micro-dimensional range of wavelengths of disturbances. Therefore, appropriate parameters, furthering generation of a micrometer range in wavelengths of disturbances can be determined with the help of a numerical solution. A simplified dispersion equation is given for shortwave disturbances on the boundary of two viscous-potential liquids in a cylindrical geometry; the ratio of decrement to wavenumber in shortwave range can be determined with the help of this equation. The study has established that this ratio has two maximums for the iron / argon system. The first maximum falls within the millimeter range wavelength, whereas the second maximum is registered in a micrometer range. Speeds of liquid and gas are determined, which provide a micrometer range of wavelength of disturbances on the surface of liquid. Keywords: Kelvin-Helmholtz instability, Cylindrical geometry, Wavelengths, Mathematical modeling. PACS: 61.20.Ja, 61.20.Gy, 47.15.Fe, 47.15.Rq, 51,50.+V.