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1 International Journal of Applied Mechanics and Engineering

1 2010

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Kelvin - Helmholtz instability of two superposed Oldroydian viscoelastic fluid layers in a horizontal magnetic field

Khan A., Tak S. S., Patni P.

International Journal of Applied Mechanics and Engineering

2010

Vol. 15, no 4

1129-1142

The Kelvin-Helmholtz instability of the plane interface separating two superposed viscous electrically conducting streaming Oldroydian fluids permeated with surface tension and magnetic field in a porous medium is considered. The stability motion is also assumed to have uniform two dimensional streaming velocity. The stability analysis has been carried out for two highly viscous fluids. By applying the normal mode technique to the linearized perturbation equations, the dispersion relation has been derived. As in the case of superposed Newtonian fluids, the system is stable in the potentially stable case and unstable in the potentially unstable case, that holds also for the present case. The behavior of growth rate with respect to kinematic viscosity, elasticity, permeability of porous medium, surface tension and streaming velocity are examined numerically and discussed in detail in section 5.