The Theoretical Study On The Annular Liquid Film Breakup

This article is mainly to study the theory of the annular liquid membrane rupture process. Analysis of the linear stability of the annular liquid jet membrane rupture. Under certain pressure the liquid into an annular nozzle in the gas medium. Then can produce two boundary between gas and liquid. The gas in gas-liquid interface can produce disturbance of annular liquid film. When the disturbance to strengthen enough can lead to produced atomizing. Contain gas liquid viscosity, density, surface tension, the dimensionless parameters and boundary conditions, such as the change of gas flow velocity, into a including the Weber number, Reynolds number, Euler number, Mach number and Froude number and dimensionless parameters on the basis of the equation. After in dimensionless equations in the control of the higher order linearization events. Get the dimensionless criteria governing equations linearization. Introduction of stream function. The flow function generation into the kinematic and dynamic boundary conditions. Set up differential equation of annular liquid membrane and find out the corresponding solution. In the process used in modified Bessel’s equation. Finally derived the annular liquid jet membrane surface wave of dimensionless dispersion relation.According to the rule of the dispersion relation between the stability limit. The rate of surface wave is a feature of annular liquid jet membrane stability factors. Found in the dispersion relation has been derived, the growth rate of surface wave along with the change of surface wave number relationship is implied given. Cannot be directly to find the analytical solution. With Fortran language and the Muller numerical iterative method to calculate numerical solution.Will be drawing on the data of the program. Linear stability analysis of the annular liquid jet membrane: the dominate wave growth rate of the para – sinuous and dominate wave number were first as the inner ring the increase of the ratio of gas and liquid velocity decreases. When speeding gas-liquid ratio greater than or equal to 1. Then with the inner ring the increase of the ratio of gas and liquid velocity increases. High-speed airflow inside and outside the ring speed ratio on the amplitude ratio of gas and liquid with gas liquid faster than the increase of the amplitude ratio is constantly increasing. When internal and external ring air velocity equal. Surface wave growth rate decreases with the increase of density of gas and liquid ratio. Internal and external ring range air velocity. The growth rate of surface wave along with the increase of the ratio of gas and liquid density increase. The internal and external ring air velocity equal the surface wave when the growth rate decreases with the increase of weber number. And internal and external ring air velocity range. Weber number less than or equal to 10, the surface wave growth rate decreases with the increase of Weber number. Weber number is more than 10, the growth rate of surface wave increases with the increase of Weber number. When internal and external ring air velocity ratio equal. Surface wave growth rate increases with the increase of Reynolds number.