Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Application of conformal mapping to viscous flow between moving circular cylinders

Author: Lee A. Segel
Journal: Quart. Appl. Math. 18 (1961), 335-353
MSC: Primary 76.00; Secondary 82.00
DOI: https://doi.org/10.1090/qam/120969
MathSciNet review: 120969
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Abstract: This work shows that conformal mapping provides an effective way to solve certain unsteady two-dimensional perturbation problems involving the flow of a viscous incompressible fluid, in particular flow between moving circular cylinders. If the outer cylinder is considered fixed, the principal motions treated are the slow rotation of a slightly eccentric inner cylinder, and the vibration of an inner cylinder about a slightly eccentric point. Mapping the given circular boundaries (of a cross-section) into concentric circles enables one to solve for the stream function by means of a series.

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Additional Information

DOI: https://doi.org/10.1090/qam/120969
Article copyright: © Copyright 1961 American Mathematical Society

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