Journal of Fluid Mechanics

Buckling of thin liquid jets

B.  Tchavdarov a1, A. L.  Yarin a2 and S.  Radev a1
a1 Institute of Mechanics and Biomechanics, Bulgarian Academy of Sciences, Acad. G. Bonchev St., bl. No. 4, Sofia 1113, Bulgaria
a2 Faculty of Mechanical Engineering, Technion – Israel Institute of Technology, Haifa 32000, Israel

Article author query
tchavdarov b   [Google Scholar] 
yarin al   [Google Scholar] 
radev s   [Google Scholar] 


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.

(Published Online April 26 2006)
(Received July 7 1992)
(Revised January 22 1993)