On the dynamical equations for liquid jets

Alexander Yarin

Research output: Contribution to journalArticle

4 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)134-136
Number of pages3
JournalFluid Dynamics
Volume18
Issue number1
DOIs
Publication statusPublished - 1983 Jan 1

Fingerprint

Liquids
liquids
momentum
three dimensional motion
Angular momentum
Integral equations
integral equations
Momentum
Differential equations
differential equations
Hydrodynamics
angular momentum
hydrodynamics
air
Air

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes

Cite this

On the dynamical equations for liquid jets. / Yarin, Alexander.

In: Fluid Dynamics, Vol. 18, No. 1, 01.01.1983, p. 134-136.

Research output: Contribution to journalArticle

Yarin, Alexander. / On the dynamical equations for liquid jets. In: Fluid Dynamics. 1983 ; Vol. 18, No. 1. pp. 134-136.
@article{844cfe9d52664629b408786febd65940,
title = "On the dynamical equations for liquid jets",
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.",
author = "Alexander Yarin",
year = "1983",
month = "1",
day = "1",
doi = "10.1007/BF01090521",
language = "English",
volume = "18",
pages = "134--136",
journal = "Fluid Dynamics",
issn = "0015-4628",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "1",

}

TY - JOUR

T1 - On the dynamical equations for liquid jets

AU - Yarin, Alexander

PY - 1983/1/1

Y1 - 1983/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0020648559&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0020648559&partnerID=8YFLogxK

U2 - 10.1007/BF01090521

DO - 10.1007/BF01090521

M3 - Article

AN - SCOPUS:0020648559

VL - 18

SP - 134

EP - 136

JO - Fluid Dynamics

JF - Fluid Dynamics

SN - 0015-4628

IS - 1

ER -