On the onset of breakup in inviscid and viscous jets

被引：17

作者：

Caulk, D.A. ^{[1
,2
]}

Naghdi, P.M. ^{[1
]}

机构：

[1] Department of Mechanical Engineering, University of California, Berkeley, CA

[2] General Motors Research Laboratories, Warren, MI

来源：

Journal of Applied Mechanics, Transactions ASME | 1979年 / 46卷 / 02期

关键词：

Compendex;

D O I：

10.1115/1.3424544

中图分类号：

学科分类号：

摘要：

This paper is concerned with the instability of inviscid and viscous jets utilizing the basic equations of the one-dimensional direct theory of a fluid jet based on the concept of a Cosserat (or a directed) curve. First, a system of differential equations is derived for small motions superposed on uniform flow of an inviscid straight circular jet which can twist along its axis. Periodic wave solutions are then obtained for this system of linear equations; and, with reference to a description of growth in the unstable mode, the resulting dispersion relation is found to agree extremely well with the classical (three-dimensional) results of Rayleigh. Next, constitutive equations are obtained for a viscous elliptical jet and these are used to discuss both the symmetric and the antisymmetric small disturbances in the shape of the free surface of a circular jet. Through a comparison with available three-dimensional numerical results, the solution obtained is shown to be an improvement over an existing approximate solution of the problem. © 1979 by ASME.

引用

页码：291 / 297

页数：6

共 14 条

[1] Rayleigh L., On the Instability of Jets, Proceedings of the London Mathematical Society, 10, (1879)
[2] Rayleigh L., On the Capillary Phenomena of Jets, Proceedings of the Royal Society, 29, (1879)
[3] Rayleigh L., On the Instability of a Cylinder of Viscous Liquid Under Capillary Force, Philosphical Magazine, 34, (1892)
[4] Weber C., Zum Zerfall eines FlCissigkeitsstrahles, ZAMM, 11, (1931)
[5] Keller J.B., Rubinow S.I., Tu Y.O., Spatial Instability of a Jet, Physics of Fluids, 16, (1973)
[6] Chandrasekhar S., Hydrodynamic and Hydromagnetic Stability, (1961)
[7] Green A.E., Naghdi P.M., Wenner M.L., On the Theory of Rods. II. Developments by Direct Approach, Proceedings of the Royal Society, 337, (1974)
[8] Green A.E., Laws N., Ideal Fluid Jets, International Journal of Engineering Science, 6, (1968)
[9] Green A.E., Compressible Fluid Jets, Arch. Rational Mech. Anal, 59, (1975)
[10] Green A.E., On the Nonlinear Behavior of Fluid Jets, International Journal of Engineering Science, 14, (1976)

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