A laminar jet in a rotating fluid
- 1 September 1965
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 23 (01), 65-75
- https://doi.org/10.1017/s0022112065001234
Abstract
A solution is presented of the asymptotic flow due to a point source of momentum in a uniformly rotating unbounded environment. Under the condition that the relative swirl velocity of the jet is small compared with the ambient swirl velocity, the equations of motion reduce to a set of linear equations. These equations are expressed in terms of similarity variables and a single ordinary differential equation is derived in terms of the similarity stream function. The profiles of the flow are calculated numerically.The jet is shown to have a narrow viscous core whose thickness increases with distance z from the virtual source of momentum as (, where v is the kinematic viscosity and Ω the ambient angular velocity.Keywords
This publication has 3 references indexed in Scilit:
- A vortex in an infinite viscous fluidJournal of Fluid Mechanics, 1961
- VORTEX MOTION IN A VISCOUS FLUIDJournal of Meteorology, 1958
- The Asymptotic Expansion of the Generalized Hypergeometric FunctionJournal of the London Mathematical Society, 1935