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国际流体力学研究期刊
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN 打印: 2152-5102
ISSN 在线: 2152-5110

国际流体力学研究期刊

DOI: 10.1615/InterJFluidMechRes.v37.i2.20
pages 111-126

On the Hydrodynamic and Hydromagnetic Stability of Inviscid Flows between Coaxial Cylinders

M.S. Anil Iype
Indian Institute of Geomagnetism,Pondicherry
M. Subbiah
Department of Mathematics, Pondicherry University, India

ABSTRACT

The stability of inviscid incompressible flows between concentric cylinders is considered here. For pure axial flows with velocity (0, 0, W(r)) it is proved that the growth rate tends to zero as the wave length tends to zero and also that the wave velocity of neutral modes is bounded. For swirling flows with velocity (0, V(r), W(r)) and magnetic field (0, Hθ(r), 0) an estimate for the growth rate of unstable modes and a semielliptical instability region are obtained. Some numerical results are also presented for a family of velocity and magnetic field profiles.

REFERENCES

  1. Anil Iype, M. S. and Subbiah, M., Eigen Value Bounds in the Stability Problem of Hydromagnetic Swirling Flows.

  2. Caillol, P. and Maslowe, S. A., The Small Vorticity Nonlinear Critical Layer for Kelvin Modes on a Vortex.

  3. Chandrasekhar, S., Hydrodynamic and Hydromagnetic Instability.

  4. Heaton, C. J. and Peake, N., Algebraic and Exponential Instability of Inviscid Swirling Flow.

  5. Howard, L. N. and Gupta, A. S., On the Hydrodynamic and Hydromagnetic Stability of Swirling Flows.

  6. Herron, I., Onset of Instability in Hydromagnetic Couette Flow.

  7. Herron I. and Soliman, F., The Stability of Couette Flow in a Toroidal Magnetic Field.

  8. Herron, I. and Goodman, J., The Small Magnetic Prandtl Number Approximation Suppresses Magnetorotational Instability.

  9. Le Dizes, S., Viscous Critical-Layer Analysis of Vortex Normal Modes.

  10. Parhi, S. and Nath, G., Stability of Magnetohydrodynamic Stratified Shear Flows.

  11. Sasakura, Y., Semi-Ellipse Theorem for the Heterogeneous Swirling Flow in an Azimuthal Magnetic Field with Respect to Axisymmetric Disturbances.

  12. Subbiah, M. and Jain, R. K., On the Taylor-Goldstein Problem in Hydrodynamic Stability.


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