Nonlinear Rayleigh-Taylor instability in the presence of magnetic field and mass and heat transfer

The linear Rayleigh-Taylor instability of two superposed incompressible magnetized fluids is investigated incorporating the effects of suspended dust particles and viscosity. The basic magnetohydrodynamic set of equations have been constructed and linearized. The dispersion relation for 2-D and 3-D perturbations is obtained by applying the appropriate boundary conditions. The condition of Rayleigh-Taylor instability is investigated for potentially stable and unstable modes, which depends upon magnetic field, viscosity and suspended dust particles. The stability of the system is discussed by applying the Routh-Hurwitz criterion. It is found that the Alfven mode comes into the dispersion relation for perturbations in x, y-directions and in only x-direction, while it does not come into y-directional perturbation. The stable configuration is found to remain stable even in the presence of suspended dust particles. Numerical calculations have been performed to see the effects of various parameters on the growth rate of Rayleigh-Taylor instability. It is found that magnetic field and relaxation frequency of suspended dust particles both have destabilizing influence on the growth rate of Rayleigh-Taylor instability. The effects of kinematic viscosity and mass concentration of dust particles are found to have stabilized the growth rate of linear Rayleigh-Taylor instability.

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External Magnetic Field Effects on the Rayleigh-Taylor Instability in an Inhomogeneous Rotating Quantum Plasma

Journal of Modern Physics ◽

10.4236/jmp.2012.311224 ◽

2012 ◽

Vol 03 (11) ◽

pp. 1792-1801

Author(s):

G. A. Hoshoudy

Keyword(s):

Magnetic Field ◽

External Magnetic Field ◽

Taylor Instability ◽

Quantum Plasma ◽

Magnetic Field Effects ◽

Field Effects ◽

Rayleigh Taylor Instability

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Stability analysis of magnetic fluids in the presence of an oblique field and mass and heat transfer

MATEC Web of Conferences ◽

10.1051/matecconf/202033001035 ◽

2020 ◽

Vol 330 ◽

pp. 01035

Author(s):

Rabah Djeghiour ◽

Bachir Meziani

Keyword(s):

Magnetic Field ◽

Heat Transfer ◽

Magnetic Fluids ◽

Physical Parameters ◽

Stability Diagrams ◽

Stability And Instability ◽

Mass And Heat Transfer ◽

Model Equations ◽

The Stability ◽

Oblique Magnetic Field

In this paper, we investigate an analysis of the stability of a basic flow of streaming magnetic fluids in the presence of an oblique magnetic field is made. We have use the linear analysis of modified Kelvin-Helmholtz instability by the addition of the influence of mass transfer and heat across the interface. Problems equations model is presented where nonlinear terms are neglected in model equations as well as the boundary conditions. In the case of a oblique magnetic field, the dispersion relation is obtained and discussed both analytically and numerically and the stability diagrams are also obtained. It is found that the effect of the field depends strongly on the choice of some physical parameters of the system. Regions of stability and instability are identified. It is found that the mass and heat transfer parameter has a destabilizing influence regardless of the mechanism of the field.

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