The meniscus on the outside of a small circular cylinder
- 29 April 1974
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 63 (4), 657-664
- https://doi.org/10.1017/s0022112074002126
Abstract
The method of matched asymptotic expansions is used to solve the differential equation describing the shape of a meniscus on the outside of a circular cylinder. Since the perturbation quantity is proportional to the cylinder radius, the solution is valid basically for small oylinders. The predicted meniscus height is compared with numerical data to determine the accuracy of the two-term result; the third term is found but does not improve the estimate.Keywords
This publication has 8 references indexed in Scilit:
- The flow induced by the transverse motion of a thin disk in its own plane through a contained rapidly rotating viscous liquidJournal of Fluid Mechanics, 1969
- The structure of free vertical shear layers in a rotating fluid and the motion produced by a slowly rising bodyPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1969
- Detached shear layers in a rotating fluidJournal of Fluid Mechanics, 1967
- An experimental study of “Taylor columns”Icarus, 1966
- On almost rigid rotations. Part 2Journal of Fluid Mechanics, 1966
- The Taylor column problemJournal of Fluid Mechanics, 1964
- On almost rigid rotationsJournal of Fluid Mechanics, 1957
- Experiments on the motion of solid bodies in rotating fluidsProceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1923