J. Phys. Soc. Jpn. 64 (1995) pp. 1557-1578 |Next Article| |Table of Contents|
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Flow Induced by a Pair of Line Vortices Moving against a Circular Cylinder
Chien-Cheng Chang,
Chin-Chou Chu,
Cheng-Chien Liu,
Ching-Cheng Chang and
Sih-Tsan Lee
Institute of Applied Mechanics, College of Engineering,
National Taiwan University, Taipei 106, Taiwan, Republic of China
(Received September 19, 1994)
A combined numerical and experimental analysis has been
carried out for investigating the behavior of a pair of line vortices,
mutually propelled to approach a circular cylinder. The flow is
assumed to be two-dimensional in numerical simulations, and which
condition is examined carefully in laboratory experiments. The
Reynolds number Re=κ/ν based on the initial circulation κ
of the vortices and the kinematic viscosity ν of the fluid ranges
from 100 to 1500. Flow behaviors are identified and classified into
three patterns with six types of characteristic trajectories
associated with the primary and secondary vortices. Of particular
interest are the phenomena of rebound and reversal, exhibited
respectively by the primary vortices moving against the cylinder under
different flow conditions. Stable pairs of line vortices are generated
in laboratory experiments; flow visualization shows excellent
agreement with numerical results in the comparisons of several flow
behaviors.
©1995 The Physical Society of Japan
KEYWORDS:
line vortex, circular cylinder, viscous flow, separation, primary and
secondary vortices, trajectories, rebound, reversal, computation,
experiment
URL:
http://jpsj.ipap.jp/link?JPSJ/64/1557/
DOI: 10.1143/JPSJ.64.1557
- F. S. Dee and O. P. Nicholas: Flight Measurement of Wing Tip Vortex Motion near the Ground (British Aeronautical Research Council, London, 1968) CP 1065.
- J. K. Harvey and F. J. Perry: A.I.A.A. J. 9 (1971) 1659.
- S. J. Barker and S. C. Crow:
J. Fluid Mech. 82 (1977) 659[CrossRef].
- P. G. Saffman:
J. Fluid Mech. 92 (1979) 497[CrossRef].
- A. J. Peace and N. Riley:
J. Fluid Mech. 129 (1983) 409[CrossRef].
- P. G. Saffman:
Phys. Fluids A 3 (1991) 984[AIP Scitation].
- P. Orlandi:
Phys. Fluids A 2 (1990) 1429[AIP Scitation].
- H. Yamada, H. Yamabe, A. Itoh and H. Hayashi: Vortex Motion, ed. H. Hasimoto and T. Kambe (1988) p. 105.
- N. Riley and R. Vasantha:
J. Fluid Mech. 205 (1989) 243[CrossRef].
- P. Orlandi:
Phys. Fluids A 5 (1993) 2196[AIP Scitation].
- J. D. A. Walker: Proc. R. Soc. London Ser. A 359 (1978) 167.
- L. L. Van Dommelen and S. F. Shen: J. Comput. Phys. 38 (1980) 125.
- V. J. Peridier, F. T. Smith and J. D. A. Walker:
J. Fluid Mech. 232 (1991) 99[CrossRef].
- V. J. Peridier, F. T. Smith and J. D. A. Walker:
J. Fluid Mech. 232 (1991) 133[CrossRef].
- K. Shariff and A. Leonard: Rev. Fluid Mech. 24 (1992) 235.
- G. K. Batchelor: An Introduction to Fluid Dynamics (Cambridge Univ. Press., 1967).