ISSN: 2375-3927
International Journal of Mathematical Analysis and Applications  
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Vorticity Transport in Magnetic Maxwellian Viscoelastic Fluid
International Journal of Mathematical Analysis and Applications
Vol.4 , No. 5, Publication Date: Sep. 8, 2017, Page: 26-30
859 Views Since September 8, 2017, 589 Downloads Since Sep. 8, 2017
 
 
Authors
 
[1]    

Pardeep Kumar, Department of Mathematics, ICDEOL, Himachal Pradesh University, Shimla, India.

 
Abstract
 

Transport of vorticity in a magnetic Maxwellian viscoelastic fluid in the presence of suspended magnetic particles is considered here. Equations governing the transport of vorticity are obtained from the equations of magnetic fluid flow proposed by Wagh and Jawandhia in their 1996 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. Further, we find that because of a thermo-kinetic process, fluid vorticity can exist in the absence of solid vorticity, but when fluid vorticity is zero then solid vorticity is necessarily zero. We also study a two-dimensional case.


Keywords
 

Magnetic Maxwellian Viscoelastic Fluid, Suspended Particles, Vorticity


Reference
 
[01]    

Wagh, D. K. and A. Jawandhia, Transport of vorticity in magnetic fluid. Indian J. Pure Appl. Phys., 1996. 34: p. 338-340.

[02]    

Saffman, P., On the stability of a laminar flow of a dusty gas. J. Fluid Mech., 1962. 13: p. 120-128.

[03]    

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, 1991. 182.

[04]    

Yan, Y. and J. Koplik, Transport and sedimentation of suspended particles in inertial pressure-driven flow. Phys. Fluids, 2009. 21: 013301.

[05]    

Oldroyd, J. G., Non-Newtonian effects in steady motion of some idealized elastico-viscous liquids. Proc. Roy. Soc. London, 1958. A245: p. 278-297.

[06]    

Vest, C. M. and V. S. Arpaci, Overstability of a viscoelastic fluid layer heated from below. J. Fluid Mech., 1969. 36: p. 613-619.

[07]    

Bhatia, P. K. and J. M. Steiner, Convective instability in a rotating viscoelastic fluid layer. Z. Angew. Math. Mech., 1972. 52: p. 321-324.

[08]    

Bhatia, P. K. and J. M. Steiner, 1973. Thermal instability in a viscoelastic fluid layer in hydromagnetics, J. Math. Anal. Appl., 1973. 41: p. 271-283.

[09]    

Sharma, R. C. and K. C. Sharma, Thermal instability of a rotating Maxwell fluid through porous medium. Metu J. Pure Appl. Sci., 1977.10, p. 223-230.

[10]    

Sharma, R. C. and P. Kumar, Hall effect on thermosolutal instability in a Maxwellian viscoelastic fluid in porous medium. Arch. Mech., 1996. 48 (1): p. 199-209.

[11]    

Kumar, P., Effect of suspended particles on thermal instability of a rotating Maxwellian viscoelastic fluid in porous medium. Jnanabha, 1997. 27: p. 107-116.

[12]    

Kumar, P. and M. Singh, On superposed Maxwellian viscoelastic fluids through porous medium in hydromagnetics. IeJEMTA, 2008. 3 (1): p. 146-158.

[13]    

Awad, F. G., Sibanda P. and S. M. Sandile, On the linear stability analysis of a Maxwell fluid with double-diffusive convection. Applied Mathematical Modelling, 2010. 34 (11): p. 3509-3517.

[14]    

Kumar, P., Stability analysis of viscoelastic fluid in porous medium. Int. J. Fluid Mech. Res., 2013. 40 (5): p. 382-390.

[15]    

Kumar, P., Viscoelastic (Maxwellian) liquid-liquid displacements through porous medium. Swiss J. Applied Sci., 2013. 2 (4): p. 42-47.

[16]    

Malashetty, M. S. and S. B. Bharati, The onset of double diffusive convection in a binary Maxwell fluid saturated porous layer with cross-diffusion effects. Physics of Fluids, 2016. 23: 064109.

[17]    

Riahi, M., Aniss, S., Touhami, M. O. and S. S. Lami, Centrifugal instability of pulsed Taylor-Couette flow in a Maxwell fluid. The European Physical Journal E, 2016. 39: p. 82-89.

[18]    

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





 
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