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Buckling of thin liquid jets

Published online by Cambridge University Press:  26 April 2006

B. Tchavdarov ,
A. L. Yarin  and
S. Radev
B. Tchavdarov
Affiliation:
Institute of Mechanics and Biomechanics, Bulgarian Academy of Sciences, Acad. G. Bonchev St., bl. No. 4, Sofia 1113, Bulgaria
A. L. Yarin
Affiliation:
Faculty of Mechanical Engineering, Technion – Israel Institute of Technology, Haifa 32000, Israel
S. Radev
Affiliation:
Institute of Mechanics and Biomechanics, Bulgarian Academy of Sciences, Acad. G. Bonchev St., bl. No. 4, Sofia 1113, Bulgaria
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Abstract

The present work deals with the buckling phenomenon characteristic of highly viscous liquid jets slowly impinging upon a plate. The quasi-one-dimensional equations of the dynamics of thin liquid jets are used as the basis for the theoretical analysis of buckling. With the problem linearized, the characteristic equation is obtained. Its solutions show that instability (buckling) sets in only in the presence of axial compression in the jet, and when the distance between the nozzle exit and the plate exceeds some critical value. The latter is calculated. It is shown that buckling instability corresponds to the rectilinear jet/folding jet bifurcation point. The value of the folding frequency is calculated at the onset of buckling. The theoretical results are compared with Cruickshank & Munson's (1981) and Cruickshank's (1988) experimental data and the agreement is fairly good.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 253 , August 1993 , pp. 593 - 615
Copyright
© 1993 Cambridge University Press

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