Abstract
Breakup of a liquid column jet in a surrounding gas flowing through a coaxial cylindrical sheath
Highlights
Liquid jets are of great importance in engineering and industrial applications in producing microdrops and thin fibers, where destabilization in the former and stabilization in the latter play an important role
The surface tension dominant (Rayleigh) mode mainly appears in a low emanating speed, while in a high emanating speed the Taylor mode dominates due to the aerodynamic instability, which consists of the first wind-induced and the second wind-induced modes
Concluding remarks The instabilities and breakup phenomena of a liquid column jet in a stationary surrounding gas have been analytically investigated, when the jet flows through a coaxial cylindrical sheath
Summary
Liquid jets are of great importance in engineering and industrial applications in producing microdrops and thin fibers, where destabilization in the former and stabilization in the latter play an important role. It is shown in their results that the jet surface deforms to be spiked like a cusp in the second-wind induced mode They expected that a liquid ring is produced around the jet from the tip of the cusp and later splits into a series of droplets circumferentially. The analysis is performed in order to understand influence of the sheath wall on the linear and nonlinear instabilities of the jet which results from the surface tension, velocity and density differences and gap length. Substituting the above expansions (1) and (2) into the basic equations and the boundary conditions, we retain the lowest order terms under the following conditions: the order of magnitude of variables is assumed to be h ≲ b ≪ λ when b ≡ H − h is the gas phase thickness and λ is the characteristic wave length of deformations, where H and λ are taken to be of O(1). Validity and limitations of the approximation Before going on to the nonlinear analysis based on the preceding reduced equations, it is beneficial to examined the linear instabilities and to know validity and limitation of the present (a)
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