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Propagation of internal gravity waves in perfectly conducting fluids with shear flow, rotation and transverse magnetic field

Published online by Cambridge University Press:  29 March 2006

N. Rudraiah  and
M. Venkatachalappa
N. Rudraiah
Affiliation:
Department of Mathematics (Post-Graduate Studies), Visvesvaraya College of Engineering, Bangalore University
M. Venkatachalappa
Affiliation:
Department of Mathematics (Post-Graduate Studies), Visvesvaraya College of Engineering, Bangalore University
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Abstract

The propagation of internal Alfvén-inertio-gravitational waves in a Boussinesq inviscid adiabatic perfectly conducting shear flow with rotation is investigated in the presence of a transverse magnetic field. It is shown that the effect of the rotational nature of electromagnetic force and Coriolis force is that linear momentum is not conserved anywhere in the fluid even at critical levels, whereas the angular momentum flux is conserved everywhere in the fluid except at the critical levels at which the Doppler-shifted frequency Ωd = 0, + ΩA or ± Ω ± (Ω2 + Ω2A)½, where ΩA is the Alfvén frequency and Ω is the Coriolis frequency, and the angular momentum is transferred to the mean flow there by Alfvén-inertio-gravitational waves. Asymptotic solutions to the wave equation are obtained near the critical levels and it is shown that the effect of the Lorentz force on the waves at the critical levels is to increase the process of critical layer absorption. The condition for neglection of rotation for higher frequency waves is also obtained and is found to be the same in both hydrodynamic and hydro-magnetic flows.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 52 , Issue 1 , 14 March 1972 , pp. 193 - 206
Copyright
© 1972 Cambridge University Press

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References

Booker, J. R. & Bretherton, F. P. 1967 J. Fluid Mech. 27, 513.
Bretherton, F. P. 1966 Quart. J. Roy. Met. Sac. 92, 466.
Bretherton, F. P. 1969 Quart. J. Roy. Met. Sac. 95, 313.
Chandrasekhar, S. 1961 Hydrodynamic and Hydromagnetic Stability. Oxford University Press.
Jones, W. L. 1967 J. Fluid Mech. 30, 439.
Rudraiah, N. 1970 Astr. Soc. Japan, 22 (1), 41.
Rudraiah, N. & Narasimha Murthy, S. 1971 Current Science, 40, (3), 343.
Stratton, J. A. 1941 Electromagnetic Theory. McGraw-Hill.