The effect of rotation on thermosolutal convection in a ferromagnetic fluid

• Autorzy: Sunil , Bharti P. K. , Sharma D. , Sharma R. C.
• Języki publikacji: EN

Abstrakty

EN

The effcct of rotation on the thermosolutal convection in a ferromagnetic fluid is analyzed for a fluid layer heated and soluted from below in the presence of a uniform magnetic field. Using the linearized stability theory and the normal mode analysis, an exact solution is obtained for the case of two free boundaries. For the case of stationary convection, non-buoyancy magnetization has a destabilizing effect on the system, whereas the stable solute gradient and rotation have a stabilizing effect on the system for lower vaIues of buoyancy magnetization M 1 . The critical magnetic thermal Rayleigh number for the onset of instabiIity is also determined numerically for large vaIues of buoyancy magnetization M 1 and results are depicted graphically. The principle of exchange of stabilities is found to hold true for the ferromagnetic fluid heated from below in the absence of a stabIe solute gradient and rotation. The oscillatory modes are introduced due to the presence of the stabIe solute gradient and rotation, which were non-existent in their absence. The sufficient conditions for the non-existence of overstability are also obtained.

Słowa kluczowe

EN

thermosolutal instability; ferromagnetic fluid; uniform magnetic field; rotation; linear stability

PL

termodynamika; pole magnetyczne; płyn ferromagnetyczny

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2005
• Tom: Vol. 10, no 4
• Strony: 713--730
• Opis fizyczny: Bibliogr. 20 poz., tab., wykr.

Twórcy

autor

Sunil

• Department af Applied Sciences, Natianal Institute of Technology Hamirpur, (H.P.)-l77 005, IN DlA

autor

Bharti P. K.

• Department af Applied Sciences, Natianal Institute of Technology Hamirpur, (H.P.)-l77 005, IN DlA

autor

Sharma D.

• Department af Applied Sciences, Natianal Institute of Technology Hamirpur, (H.P.)-l77 005, IN DlA

autor

Sharma R. C.

• Department of Mathematics, Himachal Pradesh University, Summer Hill Shimla-171 005, INDIA

Bibliografia

• [1] Chandrasekhar S. (1981): Hydrodynamic and Hydromagnetic Stability. - New York: Dover Publications.
• [2] Dailey J.P., Phillips J.P., Li C. and Riffle J.S. (1999): Synthesis of silicone magnetic fluid for use in eye surgery. - J. Magn. Magn. Mater., vol.194, NO.I-3, pp. 140-148.
• [3] Finlayson B.A. (1970): Convective instability of ferromagnetic fluids. - J. Fluid Mech., vol.40, No.4, pp.753-767.
• [4] Gupta M.D. and Gupta A.S. (1979): Convective instability of a layer of a ferromagnetic fluid rotating about a vertical axis. - Int. J Eng. Sci., vol.17, pp.271-277.
• [5] Lalas D.P. and Carmi S. (1971): Thermoconvective stability of ferrofluids. - Phys. Fluids, vol.14, NO.2, pp.436-437.
• [6] Odenbach S. (2002): Magnetoviscous Effeets in Ferrofluids. - Berlin: Springer- Verlag, Heidelberg.
• [7] Papisov M.J., Bogdannov A., Jr. Schaffer B., Nossiff N., Shen T., Weissieder R. and Bradey TJ. (1993): Colloidal magnetic resonance contrast agents: effect of particle surface on biodistribution. - J. Magn. Magn. Mater., vol.122, pp.383-386.
• [8] Penfield P. and Haus H.A. (1967): Electrodynamics of Moving Media. - Cambridge: M.J.T. Press, Massachusetts.
• [9] Polevikov V.K. (1997): Stability of a magnetic fluid under the action of an external pressure drop. - Fluid Dyn., vol.32, NO.3, pp.457-46l. (translation from Izv. Akad. Nauk, Mekh. Zidkh, Gaza 1997, vol.3, pp.170-175).
• [10] Rosensweig R.E. (1985): Ferrohydrodynamics. - Cambridge: Cambridge University Press.
• [11] Schwab L., Hildebrandt U. and Stierstadt, K. (1983): Magnetie Benard convection. – J. Magn. Magn. Mater., vol.39, No.l-2, pp. 113-114.
• [12] Sekar R. and Vaidyanathan G. (1993): Convective instability of a magnetized ferrofluid in a rotating porous medium.- Int. J Eng. Sci., vol.31, NO.8, pp. 1139-1150.
• [13] Sekar R, Vaidyanathan G. and Ramanathan A. (2000): Effect of rotation on ferrothermohaline convection. – J. Magn. Magn. Mater., vol.217, pp.266-272.
• [14] Shilomis M.J. (1974): Magnetic Fluids. - Soviet. Phys. Uspekhi (Engl. Trans.), vol.17, NO.2, pp.153-169.
• [15] Sunil, Bharti P.K. and Sharma R.C. (2004): Thermosolutal convection in ferromagnetic fluid. - Arch. Mech., vol.56, NO.2, pp.117-135.
• [16] Stiles PJ. and Kagan MJ. (1990): Thermal convective instability of a horizontal layer of ferrofluid in a strong vertical magnetic field. - J. Magn. Magn. Mater., vol.85, pp.196-198.
• [17] Vaidyanathan G., Sekar R and Ramanathan A. (1997): Ferrothermohaline convection. - J. Magn. Magn. Mater., vol.176, pp.321- 330.
• [18] Vaidyanathan G., Sekar R. and Subramaniam R. (1991): Ferroconvective instability of fluids saturating a porous medium. - lnt. J Engng. Sci., vol.29, pp.1259-1267.
• [19] Veronis G. (1965): On finite amplitude instability in thermohaline convection. - J. Marine Res., vol.23, pp.1-17.
• [20] Zebib A. (1996): Thermal convection in a magnetic fluid. - J. Fluid. Mech., vol.321, pp.121-136.