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Vorticity transport analysis in magnetic viscoelastic fluid

Treść / Zawartość
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Results of investigation on the transport of vorticity in Rivlin-Ericksen viscoelastic fluid in the presence of suspended magnetic particles is presented here. Equations governing the transport of vorticity in Rivlin-Ericksen viscoelastic fluid in the presence of suspended magnetic particles are obtained from the equations of magnetic fluid flow. From these equations it follows that the transport of solid vorticity is coupled with the transport of fluid vorticity. Further, we find that because of thermokinetic 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.
Rocznik
Strony
127--133
Opis fizyczny
Bibliogr. 15 poz.
Twórcy
autor
  • Department of Mathematics, ICDEOL, Himachal Pradesh University, Shimla, India
autor
  • Department of Mathematics, ICDEOL, Himachal Pradesh University, Shimla, India
autor
  • Department of Applied Mathematics, Faculty of Science, South Valley University, Kena, Egypt
Bibliografia
  • 1. Bhatia P.K., Steiner J.M., 1972, Convective instability in a rotating viscoelastic fluid layer, Zeitschrift f¨ur Angewandte Mathematik und Mechanik, 52, 321-324
  • 2. Garg A., Srivastava R.K., Singh K.K., 1994, Drag on a sphere oscillating in conducting dusty Rivlin-Ericksen elastico-viscous liquid, Proceedings of the National Academy of Sciences, India, 64A, 355-361
  • 3. Kumar P., Lal R., Singh M., 2007, Hydrodynamic and hydromagnetic stability of two stratified Rivlin-Ericksen elastico-viscous superposed fluids, International Journal of Applied Mechanics and Engineering, 12, 645-653
  • 4. Kumar P., Singh G.J., 2006, Stability of two superposed Rivlin-Ericksen viscoelastic fluids in the presence of suspended particles, Romanian Journal of Physics, 51, 927-935
  • 5. Rivlin R.S., Ericksen J.L., 1955, Stress-deformation relaxations for isotropic materials, Archive for Rational Mechanics and Analysis, 4, 323-425
  • 6. Rosensweig R.E., 1997, Ferrohydrodynamics, Dover Publications, Inc. Mineola, New York
  • 7. Saffman P., 1962, On the stability of a laminar flow of a dusty gas, Journal of Fluid Mechanics, 13, 120-128
  • 8. Sharma R.C., 1976, Effect of rotation on thermal instability of a viscoelastic fluid, Acta Physica Hungarica, 40, 11-17
  • 9. Sharma R.C., Kumar P., 1996, Effect of rotation on thermal instability in Rivlin-Ericksen elastico-viscous fluid, Zeitschrift f¨ur Naturforschung, 51a, 821-824
  • 10. Sharma R.C., Kumar P., 1997a, Hydromagnetic stability of Rivlin-Ericksen elastico-viscous superposed conducting fluids, Zeitschrift f¨ur Naturforschung, 52a, 528-532
  • 11. Sharma R.C., Kumar P., 1997b, Thermal instability in Rivlin-Ericksen elastico-viscous fluid in hydromagnetics, Zeitschrift f¨ur Naturforschung, 52a, 369-371
  • 12. Vest C.M., Arpaci V.S., 1969, Overstability of a viscoelastic fluid layer heated from below, Journal of Fluid Mechanics, 36, 613-619
  • 13. Wagh D.K., 1991, A mathematical model of magnetic fluid considered as two-phase system, Proceedings of International Symposium on Magnetic Fluids, R.E.C. Kurukshetra (Edit.), India, Sept. 21-23, 182
  • 14. Wagh D.K., Jawandhia A., 1996, Transport of vorticity in magnetic fluid, Indian Journal of Pure and Applied Physics, 34, 338-340
  • 15. Yan Y., Koplik J., 2009, Transport and sedimentation of suspended particles in inertial pressuredriven flow, Physics of Fluids, 21, 013301
Uwagi
PL
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniajacą naukę.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-85023e54-fb86-49b0-ba12-141edaed843a
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