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  • 1
    Electronic Resource
    Electronic Resource
    Effect of streamwise vortices on Tollmien–Schlichting waves in growing boundary layers (1987)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 30 (1987), S. 1005-1016 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The effect of counter-rotating streamwise steady vortices on three-dimensional Tollmien–Schlichting (TS) waves in a growing boundary layer on a concavely curved surface has been studied by using the method of multiple scales. The nonlinear evolution of the amplitudes with streamwise position has been obtained analytically. It is shown that the TS waves are amplified by the presence of streamwise vortices. The effect of combination resonance between TS waves and Goertler vortices is much more pronounced than the effect of parametric resonance between the TS waves and the periodic basic flow. The amplification rates increase with Goertler number and spanwise wavenumber.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.866298
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  • 2
    Electronic Resource
    Electronic Resource
    Nonlinear electrostatic drift Kelvin-Helmholtz instability (1993)
    Springer
    Astrophysics and space science 200 (1993), S. 107-116 
    Details
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Nonlinear analysis of electrostatic drift Kelvin-Helmholtz instability is performed. It is shown that the analysis leads to the propagation of the weakly nonlinear dispersive waves and the nonlinear behaviour is governed by the nonlinear Burger's equation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00658114
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  • 3
    Electronic Resource
    Electronic Resource
    The effect of large Larmor radius on nonlinear Alfvén waves (1991)
    Springer
    Astrophysics and space science 184 (1991), S. 49-55 
    Details
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The effect of large Larmor radius on the nonlinear behaviour of Alfvén waves propagating parallel to a uniform magnetic field in a compressible fluid is investigated with the aid of LLR-MHD equations. It is shown that asymptotic evolution of these waves is governed by the modified nonlinear Schrödinger equation. The dispersion is provided by the large Larmor radius effect in the magnetic field equation. It is suggested that these calculations can have a bearing on the investigation of the structure of MHD waves in both laboratory and space plasmas, e.g., imploding θ pinches, laser-blow-off plasma experiment, recent barium releases in the magnetosphere, plasma flow near small planetary bodies such as comets and plasma dynamic near collisionless shock fronts.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00644866
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  • 4
    Electronic Resource
    Electronic Resource
    Alfvénic drift Kelvin-Helmholtz instability in the presence of an equilibrium electric field (1992)
    Springer
    Astrophysics and space science 197 (1992), S. 145-151 
    Details
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Alfvénic drift Kelvin-Helmholtz instability is discussed in the presence of equilibrium electric and magnetic fields which are perpendicular to each other. A dispersion relation is achieved with the help of WKB approximation and the instability criterion is established. A comparison is made with the previous studies and it is shown that the electric field has a stabilizing or destabilizing effect on the system according to the conditions discussed in the text.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00645078
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  • 5
    Electronic Resource
    Electronic Resource
    Drift Kelvin-Helmholtz instabilities in space plasmas (1992)
    Springer
    Astrophysics and space science 197 (1992), S. 43-55 
    Details
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Drift Kelvin-Helmholtz instabilities are of extreme interest for a variety of astrophysical and space science situations such as the interaction of the solar wind with the boundary of the Earth's magnetosphere, the stream structure of solar wind, and the helical wave motions observed in ionized comet tails. Three cases of these instabilities are discussed in the presence of equilibrium electric and magnetic fields which are perpendicular to each other. A comparison is made with the previous studies. In the first case, the magneto-acoustic instability in a plasma flow of finite β with homogeneous density and temperature is discussed and a dispersion relation is achieved and the instability criterion is established. In the second case, effect of the density gradient is studied on the electrostatic drift Kelvin-Helmholtz instability of a low-β plasma in the presence of equilibrium electric and magnetic fields and an instability criterien is chtained In the third case, we discuss the magneto-acoustic instability of a high-β plasma with gradients in equilibrium density and magnetic field. Stability conditions are worked out, quantitatively discussed and compared with the previous results. It is shown that the electric field has a stabilizing or destabilizing effect according as the conditions given in this paper.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00645071
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  • 6
    Electronic Resource
    Electronic Resource
    Stability of an inhomogeneous two-component plasma with magnetic viscosity (1993)
    Springer
    Astrophysics and space science 199 (1993), S. 225-240 
    Details
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The stability of a semi-infinite quasi-neutral inhomogeneous plasma with magnetic viscosity has been discussed by using JWKB approximation in which the parameters are regarded slowing varying. Dispersion relation is obtained and discussed. It is found that the inhomogeneous system is unstable for all perturbations withk y= 0. A dispersion relation for homogeneous plasma is also obtained and discussed. It is shown that fast and slow-MHD waves propagate in the homogeneous plasma in the limit of almost perpendicular propagation under certain conditions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00613197
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  • 7
    Electronic Resource
    Electronic Resource
    Gravitational instability of a rotating partially-ionized plasma carrying a uniform magnetic field with hall effect (1993)
    Springer
    Astrophysics and space science 199 (1993), S. 323-331 
    Details
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The problem of gravitational instability of an infinite homogeneous self-gravitating medium carrying a uniform magnetic field in the presence of Hall effect has been investigated to include the effect due to rotation. The dispersion relation has been obtained. It has been found that the Jeans's criterion for the instability remains unaffected even when the effect due to rotation is considered in the presence of Hall effect carrying a uniform magnetic.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00613206
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  • 8
    Electronic Resource
    Electronic Resource
    Effect of suspended particles on the thermal convection instability in hydromagnetics (1979)
    Springer
    Astrophysics and space science 61 (1979), S. 143-151 
    Details
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The effect of suspended particles in a finitely conducting gas on the thermal convection instability is studied. The critical Rayleigh number at which instability sets in is reduced by the presence of suspended particles. The effect of vertical magnetic field is stabilizing. We also study the effect of conducting particles suspended in a non-conducting gas. It is found that the stabilizing effect of the magnetic field is reduced by the electrically conducting suspended particles.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00645798
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  • 9
    Electronic Resource
    Electronic Resource
    The stability of inner cometo-sheath with large Larmor radius effects (1993)
    Springer
    Astrophysics and space science 207 (1993), S. 249-268 
    Details
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract An investigation of the linear stability of the cometary inner sheath, the boundary layer surrounding the ionopause which separates the outflowing unmagnetized plasma from an inflowing magnetized plasma, has been carried out by taking into account the large Larmor radius effects. The structure of the boundary layer is determined by the balance between an outward ion-neutral collisional drag force and an inward magnetic stress. The eigenvalues and the eigenfunctions are obtained numerically by treating the cometary ionosphere as a layer of finite thickness, bounded by the contact surface, i.e., the diamagnetic cavity boundary. Certain limiting cases of the wave equations are also discussed. In general, the cometary ionosphere is structurally linearly unstable and the effects of recombination, photoionization, plasma pressure, though stabilizing are unable to quench the instability completely. The large Larmor radius also has a destabilizing effect on the system. The instability of the cometosheath is further proved by theτ c/τi assuming a value greater than 30 that is sufficient for the convection of perturbations down into the cavity surface and this is in agreement with the observations of ripples in the ionopause.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00627243
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  • 10
    Electronic Resource
    Electronic Resource
    Nonlinear stability of Halley cometosheath with transverse plasma motion (1994)
    Springer
    Astrophysics and space science 222 (1994), S. 113-125 
    Details
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Weakly nonlinear MHD stability of the Halley cometosheath determined by the balance between the outward ion-neutral drag force and the inward Lorentz force is investigated including the transverse plasma motion as observed in the flanks with the help of the method of multiple scales. The eigenvalues and the eigenfunctions are obtained for the linear problem and the time evolution of the amplitude is obtained using the solvability condition for the solution of the second order problem. The diamagnetic cavity boundary and the adjacent layer of about 100 km thickness is found unstable for the travelling waves of certain wave numbers. Halley ionopause has been observed to have strong ripples with a wavelength of several hundred kilometers. It is found that nonlinear effects have stabilizing effect.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00627087
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