Separation of streamlines for spatially periodic flow at zero Reynolds numbers
Author:
K. B. Ranger
Journal:
Quart. Appl. Math. 47 (1989), 367-373
MSC:
Primary 76C99
DOI:
https://doi.org/10.1090/qam/998109
MathSciNet review:
998109
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Abstract: The stream function is found for the creeping flow between two cylinders. The inner cylinder is approximately circular and is rotating with constant angular velocity. The outer cylinder is fixed and corrugated or spatially periodic. The boundary vorticity on the outer boundary is discussed in relation to separation of the streamlines, as a function of the parameters describing the boundary geometry.
- D. E. R. Godfrey, Theoretical elasticity and plasticity for engineers, Thames and Hudson, London, 1959. MR 0105861
- E. G. Phillips, Functions of a Complex Variable with Applications, Oliver and Boyd, Edinburgh; Interscience Publishers, Inc., New York, 1940. MR 0002584
M. E. O’Neill and K. B. Ranger, Handbook of Multiphase Systems, Ed. G. Hetsroni, Hemisphere Publishing Corporation, 1982, pp. 96–204
D. E. R. Godfrey, Theoretical Elasticity and Plasticity for Engineers, London: Thames and Hudson, 1959, pp. 58–59
E. G. Phillips, Functions of a Complex Variable with Applications, Oliver and Boyd Interscience Publishers, Inc., 1958, p. 31
M. E. O’Neill and K. B. Ranger, Handbook of Multiphase Systems, Ed. G. Hetsroni, Hemisphere Publishing Corporation, 1982, pp. 96–204
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Article copyright:
© Copyright 1989
American Mathematical Society
