On the stability of viscous flow in a curved channel
Open Access
- 11 March 1958
- journal article
- research article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Vol. 244 (1237) , 186-198
- https://doi.org/10.1098/rspa.1958.0035
Abstract
In this paper the stability of viscous flow between two concentric cylinders due to a pressure gradient acting round the cylinders is considered when the spacing between the cylinders is small compared with their radii. Two methods of approximate solution are described, both of which show that instability first sets in when the parameter R$\surd $(d/R$_{1}$) attains a value of about 36 in close agreement with earlier results of Dean (1928). The pattern of motion which then sets in is of the familar cellular type but with a marked asymmetry.This publication has 4 references indexed in Scilit:
- ON THE EXPANSION OF FUNCTIONS WHICH SATISFY FOUR BOUNDARY CONDITIONSProceedings of the National Academy of Sciences, 1957
- Stability of laminar flow in curved channelsPhilosophical Magazine, 1957
- The stability of viscous flow between rotating cylindersMathematika, 1954
- VIII. Stability of a viscous liquid contained between two rotating cylindersPhilosophical Transactions of the Royal Society A, 1923