Abstract
Quasi-one-dimensional equations for the three-dimensional motion of thin liquid jets have been derived by Entov and the present author [1, 2] from the balance integral equations for the mass, momentum, and angular momentum written down for a jet section. Simplified equations of this kind make it possible, in particular, to investigate with comparative ease the motion of bending jets and also the loss of stability of jets moving in air associated with the development of kinks, etc. It is of interest to obtain quasi-one-dimensional equations of jet motion by direct integration over the section of a thin jet of the three-dimensional differential equations of hydrodynamics. In the present note, this approach is illustrated by the example of bending of a jet in a plane.
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Literature cited
V. M. Entov and A. L. Yarin, “Dynamics of a liquid jet,” Preprint No. 127 [in Russian], Institute of Problems of Mechanics, Moscow (1979), p. 64.
V. M. Entov and A. L. Yarin, “Dynamical equations of a liquid jet,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5, 11 (1980).
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 161–163, January–February, 1983.
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Yarin, A.L. On the dynamical equations for liquid jets. Fluid Dyn 18, 134–136 (1983). https://doi.org/10.1007/BF01090521
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DOI: https://doi.org/10.1007/BF01090521