AUTHORS: Pardeep Kumar, Vivek Kumar

Download as PDF

ABSTRACT: Results of investigations on the transport of vorticity in couple-stress fluid in the presence of suspended magnetic particles is presented here. Equations governing the transport of vorticity in couple-stress fluid in the presence of suspended magnetic particles are obtained from the equations of magnetic fluid flow proposed by Wagh and Jawandhia [1] in their study on the transport of vorticity in magnetic fluid. It follows from the analysis of these equations that the transport of solid vorticity is coupled with the transport of fluid vorticity. Also it is found that due to thermo-kinetic process, fluid vorticity may exist in the absence of solid vorticity, but when fluid vorticity is zero, then solid vorticity is necessarily zero. A two-dimensional case is also studied and found that the fluid vorticity is indirectly influenced by the temperature and the magnetic field gradient.

KEYWORDS: Couple-stress fluid, suspended magnetic particles, vorticity

REFERENCES:

[1] D.K. Wagh and A. Jawandhia, Transport of vorticity in magnetic fluid, Indian J. Pure Appl. Phys., Vol. 34, 1996, pp. 338-340.

[2] V.K. Stokes, Couple-stresses in fluids, Physics Fluids, Vol. 9, 1966, pp. 1709- 1715.

[3] E. Walicki and A. Walicka, Inertia effects in the squeeze film of a couple-stress fluid in biological bearing, Applied Mechanics Engng., Vol. 4, 1999, pp. 363-373.

[4] A.K. Goel, S.C. Agarwal and G.S. Agarwal, Hydromagnetic stability of an unbounded couple-stress binary fluid mixture having vertical temperature and concentration gradient with rotation, Ind. J. Pure Appl. Mathematics, Vol. 30, 1999, pp. 901-1001.

[5] R.C. Sharma, Sunil, Y.D. Sharma and R.S. Chandel, On couple-stress fluid permeated with suspended particles heated from below, Archives of Mechanics, Vol. 54, 2002, pp. 287-298.

[6] P.Kumar, R. Lal and P. Sharma, Effect of rotation on thermal instability in couple- stress elastico-viscous fluid, Zeitschrift fur Naturforschung, Vol. 59a, 2004, pp. 407- 411.

[7] P. Kumar and M. Singh, Magneto- thermosolutal convection in a couple-stress fluid, Ganita Sandesh, India, Vol. 22, 2008, pp. 147-160.

[8] P. Kumar and M. Singh, Rotatory thermosolutal convection in a couple-stress fluid, Zeitschrift fur Naturforschung, Vol. 64a, 2009, pp. 448-454.

[9] P. Saffman, On the stability of a laminar flow of a dusty gas, J. Fluid Mech., Vol. 13, 1962, 120-128.

[10] D.K. Wagh, D.K., A Mathematical Model of Magnetic Fluid considered as Two- Phase System, Proc. Int. Symp. on Magnetic Fluids, held at REC Kurukshetra, India, during Sept. 21-23, p. 182, 1991.

[11] Y. Yan and J. Koplik, Transport and sedimentation of suspended sarticles in inertial pressure-driven flow, Phys. Fluids, Vol. 21, 2009, 013301.

[12] R.E. Rosensweig, Ferrohydrodynamics, Dover Publications, Inc. Mineola, New York, 1997.