Kelvin Helmholtz Instability in the Presence of Mass, Heat Transfer, Porous Media, Surface Tension and Magnetic Field

• Autorzy: Allah O. M. H.
• Języki publikacji: EN

Abstrakty

EN

On the basis of the simplified formulation of Hsieh [6] for interfacial stability problems, a general dispersion relation of Kelvin-Helmholtz stability in the presence of mass, heat transfer, porous media, surface tension and magnetic field is obtained to generalize the problems studied in references [7-10]. It is found that magnetic field, heat transfer, surface tension and streaming have a stabilizing effect, while porous media has a destabilizing effect on unstable modes.

Słowa kluczowe

EN

magnetic field; stability; capillary

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2005
• Tom: Vol. 9, nr 2
• Strony: 179--185
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Allah O. M. H.

• Mathematics Department, Faculty of Science, Assiut University, Assiut, Egypt

Bibliografia

• [1] Nayak, AR and Chakraborty, BB: Kelvin-Helmholtz stability with mass and heat transfer, Phys. Fluids, (1984), 27(8), 1937-1941.
• [2] Hsieh, DY and Chen, F: A nonlinear study of Kelvin-Helmholtz stability, Phys. Fluids, (1985), 28(5), 1253-1262.
• [3] Elhefnawy, ARF: Nonlinear stability problem of ferromagnetic fluids with mass and heat transfer, Mechanics and Mechanical Engineering, (2001), 5(2), 254-269.
• [4] El Shehawey, EF and Abd El Gawad, NR: Nonlinear electrohydrodynamic Kelvin-Helmholtz instability conditions of an interface between two fluids under the effect of a normal periodic electric field, Can. J. Phys, (1989), 68, 479-494.
• [5] Bhatia, PK and Sankhla, VD: Kelvin-Helmholtz discontinuity in two superposed viscous conducting fluids, Astrophysics and Space, Astrophysics and Space Science, (1984), 103, 33-38.
• [6] Gonzalez, AG, Gratton, J, and Gratton, FT: Compressible Kelvin-Helmholtz instability, Brazilian Journal of Physics, (2002), 32(4), 945-957.
• [7] Hsieh, DY: Interfacial stability with mass and heat transfer, Physics of Fluids, (1978), 21(5), 745-748.
• [8] Shivamoggi, BK: A generalized theory of stability of superposed fluids in hydro-magnetics, Astrophysics and Space Science, (1981), 84, 477-484.
• [9] Obied Allah, MH: The effects of magnetic field and mass and heat ransfer on Kelvin-Helmholtz instability, Proc. Nat. Acad. Sc. India, (1998), 68(A).II, 163-173.
• [10] Obied Allah, MH: Linear and nonlinear Rayleigh-Taylor instability in magnetohy-drodynamics, (1988), Ph.D. Thesis.