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Turned trochoidal disturbance on a liquid jet surface

An Erratum to this article was published on 12 December 2014


This paper shows that a turned trochoidal function disturbance may lead to peripheral drops production. The resulting model is used to describe that a turned trochoidal disturbance leads to peripheral drops production on the liquid jet surface without the necessity for superimposed disturbances. The trochoid is a non-unique parametric function. Only non-unique parametric functions disturbances may lead to peripheral drops production. The trochoidal function disturbance is decomposed to Fourier series. Every Fourier element receives an amplification factor in accordance to the Rayleigh inviscid jet model. Peripheral drops are received on the jet surface. The paper shows that all trochoidal disturbance functions, prolate cycloid, cycloid and curtate cycloid have a capability of peripheral drops producing. A limited capability of peripheral drops production is introduced for the trochoidal curtate cycloid. Produced drops size are reduced for increasing the jet velocity and wave number. Smaller drops are also received by transition from the prolate cycloid to curtate cycloid disturbance.


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Corresponding author

Correspondence to Shalom Sadik.

Additional information

SADIK Shalom, born in 1952, is currently a staff member at Department of Mechanical Engineering, Ort Braude College, Israel. He teaches the courses Mechanics of Fluids and Heat Transfer. After long years working outside academy as leading new technologies projects he turned to the academic direction and completed his PhD thesis in the Technion at 2001. Thesis subject: Mechanisms of Nonaxial Disturbances in Evolution Processes of Jets into Sprays. Related to the thesis dissertation he published three quality papers. The first paper was published in Applied Physics Letters: Formation of Sprays from Liquid Jets by a Superimposed Sequence of Nonaxial Disturbances. His research interests include fluid mechanics and heat transfer.

KIRZHNER Felix, born in 1949, is currently senior researcher at Civil and Environmental Engineering Dept., in the Technion, Haifa, Israel. He has published more than 70 papers and 3 books. His research interests include rook mechanics, particles behavior, waste water treatment technologies.

KRAMARENKO Denis, born in 1986, is currently a research assistant at MIT, HST-Harvard-MIT Division of Health Sciences and Technology.

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Sadik, S., Kirzhner, F. & Kramarenko, D. Turned trochoidal disturbance on a liquid jet surface. Chin. J. Mech. Eng. 27, 846–852 (2014).

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  • drops
  • liquid jet
  • trochoidal function