Stability of divergent channel flows: a numerical approach
Authors:
- 9 April 1984
- journal article
- Published by The Royal Society in Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
- Vol. 392 (1803) , 359-372
Abstract
The stability of the flow of viscous fluid in a divergent straight-walled channel is tackled by a finite difference method applied to the equation of the disturbance stream function. Good agreement is obtained with the work of Eagles & Weissman (J. Fluid Mech. 69 (2), 241-262 (1975)), which was done by a completely different (modal) approach. The results are also extended to the more realistic curved-wall channels of Eagles & Smith (J. engng Math. 14 (3), 219–237 (1980)), again with good agreement.Keywords
This publication has 13 references indexed in Scilit:
- The influence of nonparallelism in channel flow stabilityJournal of Engineering Mathematics, 1980
- Investigation of the stability of boundary layers by a finite-difference model of the Navier—Stokes equationsJournal of Fluid Mechanics, 1976
- Linear stability of slowly varying unsteady flows in a curved channelProceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1975
- On the stability of slowly varying flow: the divergent channelJournal of Fluid Mechanics, 1975
- On the effects of boundary-layer growth on flow stabilityJournal of Fluid Mechanics, 1974
- Boundary Layer Flow near a Discontinuity in Wall ConditionsIMA Journal of Applied Mathematics, 1974
- Low-frequency modulation of thermal instabilityJournal of Fluid Mechanics, 1970
- Stability of Spatially Varying and Time-Dependent FlowsThe Physics of Fluids, 1964
- Laminar flow in symmetrical channels with slightly curved walls II. An asymptotic series for the stream functionProceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1963
- Laminar flow in symmetrical channels with slightly curved walls, I. On the Jeffery-Hamel solutions for flow between plane wallsProceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1962