On the Rayleigh—Taylor instability in hydromagnetics with finite electrical resistivity and Hall current

Surindar Singh; J. N. Tandon

doi:10.1017/S0022377800004670

Abstract

The effect of Hall current and finite electrical resistivity has been studied on the Rayleigh—Taylor instability of superposed incompressible fluids in the presence of a uniform horizontal magnetic field. It is found that Hall current has a negligible stabilizing influence in the high resistivity limit whereas it has a destabilizing influence in the low resistivity limit.

References

REFERENCES

Chandrasekhar, S. 1961 Hydrodynamic and Hydromagnetic Stability. Oxford: Clarondon Press.Google Scholar

Hosking, R. J. 1965 Phys. Rev. Lett. 15, 344.CrossRef Google Scholar

Jukes, J. D. 1963 J. Fluid Mech. 16, 177.CrossRef Google Scholar

Nayyar, N. K. & Trehan, S. K. 1966 Phys. Rev. Lett. 17, 526.CrossRef Google Scholar

Rayleigh, Lord 1900 Scientific Papers. Cambridge, vol. II, p. 200.Google Scholar

Talwar, S. P. 1959 Z. Astrophys. 47, 161.Google Scholar

Talwar, S. P. & Kalra, G. L. 1967 J. Plasma Phys. 1, 145.CrossRef Google Scholar

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Lister, G. G. and Hosking, R. J. 1972. The Rayleigh—Taylor problem with a vertical magnetic field, including the effects of Hall current and resistivity. Journal of Plasma Physics, Vol. 7, Issue. 3, p. 553.

Hosking, R. J. and Kalra, G. L. 1972. Boundary conditions in the presence of Hall current of finite ion Larmor radius effects. Journal of Plasma Physics, Vol. 7, Issue. 3, p. 545.

Bhowmik, G. 1972. Rayleigh Taylor instability of a viscous Hall plasma with magnetic field. Journal of Plasma Physics, Vol. 7, Issue. 1, p. 117.

Bhatia, P. K. 1974. Effects of neutral gas friction and ion viscosity on the Rayleigh-Taylor instability of a stratified plasma in the presence of Hall currents. Journal of Plasma Physics, Vol. 11, Issue. 1, p. 1.

Bhatia, P. K. 1974. Rayleigh-Taylor instability of two viscous superposed conducting fluids. Il Nuovo Cimento B, Vol. 19, Issue. 2,

Abani, Kamla and Srivastava, K. M. 1975. Rayleigh-Taylor instability of a viscous plasma in the presence of Hall current. Il Nuovo Cimento B Series 11, Vol. 26, Issue. 2, p. 419.

Bhatia, P. K. and Gupta, P. N. 1976. Effects of Hall Currents on the Self‐Gravitational Instability of a Finitely Conducting Plasma of Variable Density. Beiträge aus der Plasmaphysik, Vol. 16, Issue. 1, p. 55.

Chhonkar, R. P. S. and Bhatia, P. K. 1978. Self‐Gravitational Instability of a Stratified Viscous Hall‐Plasma of Finite Conductivity. Beiträge aus der Plasmaphysik, Vol. 18, Issue. 3, p. 187.

Sankhla, V. D. and Bhatia, P. K. 1979. Effects of Hall Currents and Gyroviscosity on the Stability of a Finitely Conducting Rotating Viscous Plasma of Variable Density. Beiträge aus der Plasmaphysik, Vol. 19, Issue. 4, p. 211.

Opere, O. M. and Bhatia, P. K. 1983. Effects of gyroviscosity and hall currents on the stability of a stratified rotating self-gravitating plasma. Astrophysics and Space Science, Vol. 95, Issue. 1, p. 37.

Bhatia, P. K. and Sankhla, V. D. 1984. Kelvin-Helmholtz discontinuity in two superposed viscous conducting fluids. Astrophysics and Space Science, Vol. 103, Issue. 1, p. 33.

Bhatia, P. K. and Sankhla, V. D. 1984. The instability of a stratified layer of rotating and conducting self-gravitating fluid. Astrophysics and Space Science, Vol. 105, Issue. 2, p. 287.

Bhatia, P. K. and Chhonkar, R. P. S. 1985. Rayleigh-Taylor instability of two viscous superposed rotating and conducting fluids. Astrophysics and Space Science, Vol. 114, Issue. 2, p. 271.

Bhatia, P. K. and Sankhla, V. D. 1987. Stability of a Stratified Layer of a Gravitating Partially Ionized Plasma. Beiträge aus der Plasmaphysik, Vol. 27, Issue. 2, p. 105.

Mehta, Vijay and Bhatia, P. K. 1988. Larmor radius effects on the instability of a stratified partially-ionized plasma in the presence of Hall currents and magnetic resistivity. Astrophysics and Space Science, Vol. 148, Issue. 2, p. 207.

Mehta, Vijay and Bhatia, P. K. 1988. Effects of Hall Currents and Gyroviscosity on the Instability of a Self‐Gravitating Stratified Plasma. Contributions to Plasma Physics, Vol. 28, Issue. 6, p. 569.

Gupta, Alka and Bhatia, P. K. 1991. Instability of partially-ionized superposed plasmas. Astrophysics and Space Science, Vol. 181, Issue. 1, p. 103.

Gupta, Alka and Bhatia, P. K. 1991. Effects of Hall currents and Coriolis forces on the instability of a self-gravitating plasma of variable density. Astrophysics and Space Science, Vol. 182, Issue. 2, p. 171.

Ali, Ahsan and Bhatia, P. K. 1992. Instability of a gravitating partially-ionized plasma. Astrophysics and Space Science, Vol. 191, Issue. 1, p. 89.

Khan, Aiyub and Bhatia, P K 1993. Rayleigh-Taylor instability of a finitely conducting partially ionized Hall plasma. Physica Scripta, Vol. 48, Issue. 5, p. 607.

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On the Rayleigh—Taylor instability in hydromagnetics with finite electrical resistivity and Hall current

Abstract

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This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Article contents

On the Rayleigh—Taylor instability in hydromagnetics with finite electrical resistivity and Hall current

Abstract

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References

REFERENCES

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