Magnetoviscous Effects on Axi-Symmetric Ferrofluid Flow over a Porous Rotating Disk with Suction/Injection
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 32797
Magnetoviscous Effects on Axi-Symmetric Ferrofluid Flow over a Porous Rotating Disk with Suction/Injection

Authors: Vikas Kumar

Abstract:

The present study is carried out to investigate the magneto-viscous effects on incompressible ferrofluid flow over a porous rotating disc with suction or injection on the surface of the disc subjected to a magnetic field. The flow under consideration is axi-symmetric steady ferrofluid flow of electrically non-conducting fluid. Karman’s transformation is used to convert the governing boundary layer equations involved in the problem to a system of non linear coupled differential equations. The solution of this system is obtained by using power series approximation. The flow characteristics i.e. radial, tangential, axial velocities and boundary layer displacement thickness are calculated for various values of MFD (magnetic field dependent) viscosity and for different values of suction injection parameter. Besides this, skin friction coefficients are also calculated on the surface of the disk. The results thus obtained are presented numerically and graphically in the paper.

Keywords: Axi-symmetric, ferrofluid, magnetic field, porous rotating disk.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1089345

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 2002

References:


[1] D. B. Hathway, "Use of ferrofluid in moving coil loudspeakers,” dB-Sound Engg. Mag., vol. 13, pp. 42-44, 1979.
[2] K. Raj, and R. Moskowitz, "Commerical applications of ferrofluids,” J. Magn. Magn. Mater., vol. 85, pp. 233-245, 1990.
[3] D. K. Kim, W. Voit, W. Zapka, B. Bjelke, and M. Muhammed, "Biomedical applications of ferrolfuid containing magnetite nanoparticles,” Mat. Res. Soc. Symp. Proc., pp. 676, 2001.
[4] J. M. Pulfer, and J. K. Gallo, "Targeting tumors using magnetic drug delivery,” in Biomedical Chemistry: Applying Chemical Principles to the Understanding and Treatment of Disease, John Wiley & Sons, Inc., 2000, pp. 211-225.
[5] R. E. Rosensweig, Ferrohydrodynamics, Cambridge: Cambridge University Press, 1965.
[6] H. Schlichting, Boundary Layer Theory, New York: McGraw-Hill Book Company, New York, 1960.
[7] V. Karman, "Uber laminare and turbulente reibung,” Z. Angew. Math. Mech., vol. 1, pp. 232- 252, 1921.
[8] W. G. Cochran, "The flow due to a rotating disc,” Proc. Camb. Phil. Soc., vol. 30, pp. 365-375, 1934.
[9] E. R. Benton, "On the flow due to a rotating disk,” J. Fluid Mech., vol. 24, pp. 781–800, 1966.
[10] K. G. Mithal, "On the effects of uniform high suction on the steady flow of a non-Newtonian liquid due to a rotating disk,” Quart J. Mech. and Appl. Math., vol. XIV, pp. 401–410, 1961.
[11] D. P. Kavenuke, E. Massawe, and O. D. Makinde, "Modeling laminar flow between a fixed impermeable disk and a porous rotating disk,” African Journal of Mathematics and Computer Science Research, vol. 2, pp. 152–162, 2009.
[12] F. Frusteri, and E. Osalusi, "On MHD and slip flow over a rotating porous disk with variable properties,” Int. Comm. in Heat and Mass Transfer, vol. 34, pp. 492-501, 2007.
[13] P. Ram, A. Bhandari, and K. Sharma, "Axi-symmetric ferrofluid flow with rotating disk in a porous medium,” International Journal of Fluid Mechanics, vol. 2, pp. 151-161, 2010.
[14] S. Odenbach, Magneto Viscous Effects in Ferrofluids, Berlin: Springer-Verlag, 2002.
[15] Sunil, Divya, and R. C. Sharma,"The effect of magnetic field dependent viscosity on thermosolutal convection in a ferromagnetic fluid saturating a porous medium,” Transport in Porous Media, vol. 60, pp. 251-274, 2005.
[16] C. E. Nanjundappa, I. S. Shivakumara, and R. Arunkumar, "Benard-Marangoni ferroconvection with magnetic field dependent viscosity,” Journal of Magnetism and Magnetic Materials, vol. 322, pp. 2256-2263, 2010.
[17] P. Ram, A. Bhandari, and K. Sharma, "Effect of magnetic field-dependent viscosity on revolving ferrofluid,” Journal of Magnetism and Magnetic Materials, vol. 322, pp. 3476-3480, 2010.
[18] P. Ram, K. Sharma, and A. Bhandari, "Effect of porosity on ferrofluid flow with rotating disk,” Int. Journal of Applied Mathematics and Mechanics, vol. 6, pp.67-76, 2010.
[19] P. Ram, and V. Kumar, "Ferrofluid flow with magnetic field dependent viscosity due to a rotating disk in porous medium,” International Journal of Applied Mechanics, vol. 4, pp. 1250041 (18 pages), 2012.
[20] N. Ghara, M. Guria, and R. N. Jana, "Hall effects on oscillating flow due to eccentrically rotating porous disk and a fluid at infinity”, Meccanica, vol. 47, pp. 557-571, 2012.
[21] P. Ram, and V. Kumar, "FHD flow with heat transfer over a stretchable rotating disk,” Multidiscipline Modeling in Materials and Structures, vol. 9, pp. 524-537, 2013.