Interfacial electrohydrodynamic instability: The Kath and Hoburg model revisited
A revision of the Kath and Hoburg model for the interfacial electrohydrodynamic instability in the case of two miscible fluids having identical properties but differing conductivities is attempted. Ex...
A revision of the Kath and Hoburg model for the interfacial electrohydrodynamic instability in the case of two miscible fluids having identical properties but differing conductivities is attempted. Ex...
Rates, pathways, and end states of nonlinear evolution in decaying two-dimensional turbulence: Scaling theory versus selective decay
A recently proposed scaling theory of two-dimensional turbulent decay, based on the evolutionary pathway of successive mergers of coherent vortices, is used to predict the rate and end state of the ev...
A recently proposed scaling theory of two-dimensional turbulent decay, based on the evolutionary pathway of successive mergers of coherent vortices, is used to predict the rate and end state of the ev...
Behavior of asymmetric unstable modes of a trailing line vortex near the upper neutral curve
Phys. Fluids A 4, 1310 (1992); doi:10.1063/1.858250
Issue Date: June 1992
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The linear stability of a trailing line vortex subjected to disturbances having azimuthal wave number n=−1 is considered. In the limit of large Reynolds numbers, the corresponding inviscid solution for this wave number is obtained. It is found that near the upper neutral curve, there exists mode crossing and mode switching between the primary and secondary modes. It is also found that viscous forces have both stabilizing and destabilizing effects on inviscid modes, which result in the appearance of a second peak in the growth rate curves.
Physics of Fluids A: Fluid Dynamics is copyrighted by The American Institute of Physics.
| History: | Received 24 October 1991; accepted 3 February 1992 |
| Permalink: | http://dx.doi.org/10.1063/1.858250 |
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0899-8213 (print)
1089-7666 (online)
AIP
REFERENCES (13)
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- P. I. Singh and M. S. Uberoi, “Experiments on vortex stability,” Phys. Fluids 19, 1858 (1976).
- A. K. Garg and S. Leibovich, “Spectral characteristics of vortex breakdown flow fields,” Phys. Fluids 22, 2053 (1979).
- S. Leibovich, “Vortex stability and breakdown: Survey and extension,”
AIAA J. 22, 1192 (1984 ). - M. Lessen, P. J. Singh, and F. Paillet, “The stability of a trailing line vortex. Part 1. Inviscid theory,”
J. Fluid Mech. 63, 753 (1974 ). - M. Lessen and F. Paillet, “The stability of a trailing line vortex. Part 2. Viscous theory,”
J. Fluid Mech. 65, 769 (1974 ). - P. W. Duck and M. R. Foster, “The inviscid stability of a trailing line vortex,” J. Appl. Math. Phys. (Z. Angew. Math. Phys.) 31, 524 (1980).
- S. Leibovich and K. Stewartson, “A sufficient condition for the instability of columnar vortices,”
J. Fluid Mech. 126, 335 (1983 ). - S. A. Maslowe and K. Stewartson, “On the linear inviscid stability of rotating Poiseuille flow,” Phys. Fluids 25, 1517 (1982).
- K. Stewartson, “The stability of swirling flows at large Reynolds number when subjected to disturbances with large azimuthal wavenumber,” Phys. Fluids 25, 1953 (1982).
- F. W. Cotton and H. Salwen, “Linear stability of rotating Hagen-Poiseuille flow,”
J. Fluid Mech. 108, 101 (1981 ). - M. R. Khorrami, “On the viscous modes of instability of a trailing line vortex,”
J. Fluid Mech. 225, 197 (1991 ). - P. W. Duck and M. R. Khorrami, “On the effects of viscosity on the stability of a trailing line vortex,” submitted to J. Fluid Mech.
- M. Lessen and P. J. Singh, “The stability of axisymmetric free shear layers,”
J. Fluid Mech. 60, 433 (1973 ).
