The shape of free jets of water under gravity

Author:

Tuck E. O.

Abstract

A study is made of the form taken by a slender jet of water whose only boundary is a free surface. The only forces acting are inertial and gravitational. Attention is paid to the cross-flow velocity components and to the development of the shape of the cross-section of the jet as it progresses. It is established that a jet with initially elliptic cross-sections can remain elliptical, and the variation in the aspect ratio along the jet is determined.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference18 articles.

1. Keller, J. B. & Wietz, M. L. 1957 A theory of thin jets.9th Int. Cong. Appl. Mech. (Brussels),pp.316–323.

2. Tuck, E. O. 1975a Matching problems involving flow through small holes.Adv. Appl. Mech 15,89–158.

3. Conway, W. E. 1967 The two-dimensional vertical jet under gravity.J. Math. Anal. Appl 19,282–290.

4. Friedrichs, K. O. 1948 Derivation of the shallow water theory.Comm. Pure Appl. Math 1,81–88.

5. Streeter, V. L. (ed.)1961 Handbook of Fluid Dynamics .McGraw-Hill.

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