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On unsymmetrically impinging jets

Published online by Cambridge University Press:  26 April 2006

Joseph B. Keller
Joseph B. Keller
Affiliation:
Departments of Mathematics and Mechanical Engineering, Stanford University, Stanford, CA 94305, USA
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Abstract

Two impinging two-dimensional incompressible inviscid fluid jets of known widths and velocities produce two outgoing jets. The speeds of the outgoing jets are readily determined from the Bernoulli equation. Their two widths and two directions (four quantities) are related by conservation of mass and conservation of two components of momentum (three relations). Because these three conservation relations do not suffice to determine the four unknowns, Milne-Thomson (1968) states on p. 302 that ‘a unique solution is, in general, not possible’. He incorrectly attributes this indeterminateness to disregard of ‘the initial conditions from which this steady motion is supposed to arise’.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 211 , February 1990 , pp. 653 - 655
Copyright
© 1990 Cambridge University Press

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References

Milne-Thomson, L. M. 1968 Theoretical Hydrodynamics, fifth edn. Macmillan.