Author:
Chaudhary K. C.,Redekopp L. G.
Abstract
Nonlinear capillary instability of an axisymmetric infinite liquid column is investigated with an initial velocity disturbance consisting of a fundamental and one harmonic component. A third-order solution is developed using the method of strained co-ordinates. For the fundamental disturbance alone, the solution shows that a cut-off zone of wavenumbers (k) exists such that the surface waves grow exponentially below the cut-off zone, linearly in the middle of the zone (near k = 1), and an oscillatory solution exists for wavenumbers above the boundary of the zone. For an input including both the fundamental and a harmonic, all wave components grow exponentially when the fundamental is below the cut-off zone. Using a Galilean transformation, the solution is applied to a progressive jet issuing from a nozzle. The jet breaks into drops interspersed with smaller (satellite) drops for k < 0·65; no satellites exist for k > 0·65. It is shown theoretically that the formation of satellites can be controlled by forcing the jet with a suitable harmonic added to the fundamental.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference8 articles.
1. Donnelly, R. J. & Glaberson, W. 1966 Proc. Roy. Soc. A 290,547.
2. Lafrance, P. 1975 Phys. Fluids 18,428.
3. Yuen, M. C. 1968 J. Fluid Mech. 33 151.
4. Nayfeh, A. H. 1970 Phys. Fluids 13,841.
5. Goedde, E. F. & Yuen, M. C. 1970 J. Fluid Mech. 40,495.
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