Research Journal of Engineering and Technology

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Analytical/Numerical Investigations of Kelvin-Helmholtz Instability of Superposed Non-Viscous Fluids in the Presence of Magnetic Field


Affiliations
1 Department of Mathematics $ Statistics, H.P.University, Shimla-5, India
2 Govt. Degree College, Amb, Una (H.P.), India
3 APG University, Solan (H.P.), India
     

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The instability of two immiscible superposed, non-viscous, electrically conducting and counter-streaming fluids with upper fluid layer lighter than the lower fluid layer in the presence of uniform magnetic field has been investigated numerically. Using the linear theory and normal mode analysis, the exact solutions of eigen value problem have been obtained for stress free bounding surfaces and the dispersion relation so obtained has been analysed to examine the effects of magnetic field and velocity of streaming fluids on the growth rates of the unstable mode of perturbation on the physical system. It has been found that the magnetic field has a slight stabilizing effect on the system; whereas the velocity of the counter-streaming fluids has a large enough stabilizing effect towards neutral stability.
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  • Analytical/Numerical Investigations of Kelvin-Helmholtz Instability of Superposed Non-Viscous Fluids in the Presence of Magnetic Field

Abstract Views: 242  |  PDF Views: 1

Authors

Veena Sharma
Department of Mathematics $ Statistics, H.P.University, Shimla-5, India
Abhilasha
Govt. Degree College, Amb, Una (H.P.), India
Sumit Gupta
APG University, Solan (H.P.), India

Abstract


The instability of two immiscible superposed, non-viscous, electrically conducting and counter-streaming fluids with upper fluid layer lighter than the lower fluid layer in the presence of uniform magnetic field has been investigated numerically. Using the linear theory and normal mode analysis, the exact solutions of eigen value problem have been obtained for stress free bounding surfaces and the dispersion relation so obtained has been analysed to examine the effects of magnetic field and velocity of streaming fluids on the growth rates of the unstable mode of perturbation on the physical system. It has been found that the magnetic field has a slight stabilizing effect on the system; whereas the velocity of the counter-streaming fluids has a large enough stabilizing effect towards neutral stability.