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Visco-Elastic Effects on Nano-fluid Flow in a Rotating System in Presence of Hall Current Effect

  • Debasish Dey
  • Ashim Jyoti BaruahEmail author
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 755)

Abstract

An unsteady free convective flow of visco-elastic fluid though a porous medium has been investigated in presence of Hall effects. Constitutive equation of visco-elastic fluid is governed by Walters liquid model for short relaxation memories. The medium is rotating with a constant angular velocity. A magnetic field of uniform strength is applied along the transverse direction to the surface. Conservation laws of mass, momentum, energy and species concentration are formed mathematically using suitable approximations. Governing equations of motion are solved analytically using perturbation scheme. Results are discussed graphically and numerically for various values of flow parameters involved in the solution.

Keywords

Angular acceleration Visco-elastic Prandtl number Volume fraction Nano-fluid 

References

  1. 1.
    Choi, U.S.: Enhancing thermal conductivity of fluids with nanoparticles. In: Proceedings of the ASME International Mechanical Engineering Congress and Expositions, vol. 66, pp. 99–105 (1995)Google Scholar
  2. 2.
    Choudhury, R., Dey, D.: Free convective viscoelastic flow with heat and mass transfer through a porous medium with periodic permeability. Int. J. Heat Mass Transf. 53, 1666–1672 (2010)CrossRefGoogle Scholar
  3. 3.
    Choudhury, R., Dey, D.: Free convective elastico-viscous fluid flow with heat and mass transfer past an inclined plate in slip flow regime. Latin Am. Appl. Res. 42(4), 327–332 (2012)Google Scholar
  4. 4.
    Das, K.: Flow and heat transfer characteristics of nanofluids in a rotating frame. Alex. Eng. J. 53, 757–766 (2014)CrossRefGoogle Scholar
  5. 5.
    Das, S., Jana, R.N., Makinde, O.D.: MHD boundary layer slip flow and heat transfer of nanofluid past a vertical stretching sheet with non-uniform heat generation/absorption. Int. J. Nano Sci. 13, 1450019 (2014)CrossRefGoogle Scholar
  6. 6.
    Das, S., Mandal, H.K., Jana, R.N., Makinde, O.D.: Magneto-nanofluid flow past an impulsively started porous flat plate in a rotating frame. J. Nanofluid. 4, 167–175 (2015)CrossRefGoogle Scholar
  7. 7.
    Dey, D.: Dusty hydromagnetic oldroyd fluid flow in a horizontal channel with volume fraction and energy dissipation. Int. J. Heat Tech. 34(3), 415–422 (2016)CrossRefGoogle Scholar
  8. 8.
    Dey, D.: Hydromagnetic oldroyd fluid flow past a flat surface with density and electrical conductivity. Latin Am. Appl. Res. 47(2), 41–45 (2017)Google Scholar
  9. 9.
    Dey, D., Baruah, A.J.: Stratified visco-elastic fluid flow past a flat surface with energy dissipation: an analytical approach. Far East J. Appl. Math. 96(5), 267–278 (2017)CrossRefGoogle Scholar
  10. 10.
    Dey, D., Khound, A.S.: Relaxation and retardation effects on free convective visco-elastic fluid flow past an oscillating plate. Int. J. Comp. Appl. 144(9), 34–40 (2016)Google Scholar
  11. 11.
    Dey, D., Khound, A.S.: Hall current effects on binary mixture flow of Oldroyd-B fluid through a porous channel. Int. J. Heat Tech. 34(4), 687–693 (2016)CrossRefGoogle Scholar
  12. 12.
    Eastman, J.A., Choi, S.U.S., Yu, W., Thompson, L.J.: Anomalously increased effective thermal conductivities of ethylene glycol based nano fluids containing copper nano particles. Appl. Phys. Lett. 78, 718–720 (2001)CrossRefGoogle Scholar
  13. 13.
    Hamad, M.A.A., Pop, I.: Unsteady MHD free convection flow past a vertical permeable flat plate in a rotating frame of reference with constant heat source in a nano fluid. Heat Mass Transf. 47, 1517–1524 (2011)CrossRefGoogle Scholar
  14. 14.
    Khairy, Z., Ishak, A., Pop, I.: Boundary layer flow and heat transfer over a nonlinearly permeable stretching/shrinking sheet in a nanofluid. Sci. Rep. 4 (2014) http://dx.doi.org/10.1038/srep04404
  15. 15.
    Nada, E.A.: Effects of variable viscosity and thermal conductivity of Al2O3–water nanofluid on heat transfer enhancement in natural convection. Int. J. Heat Fluid Flow 30, 668–679 (2009)Google Scholar
  16. 16.
    Purkayastha, S., Choudhury, R.: Hall current and thermal radiation effect on mhd convective flow of an elastico- viscous fluid in a rotating porous channel. WSEAS Trans. Appl. Theor. Mech. 9, 196–205 (2014)Google Scholar
  17. 17.
    Reddy, J.V.R., Sugunamma, V., Sandeep, N., Sulochana, C.: Influence of chemical reaction, radiation and rotation on mhd nanofluid flow past a permeable flat plate in porous medium. J. Niger. Math. Soc. 35, 48–65 (2016)MathSciNetCrossRefGoogle Scholar
  18. 18.
    Sheikholeslami, M., Ashorynejad, H.R., Domairry, G., Hashim, I.: Flow and heat transfer of Cu–Water nanofluid between stretching sheet and a porous surface in rotating system. J. Appl. Math. 421320 (2012)Google Scholar
  19. 19.
    Takhar, H.S., Chamkha, A.J., Nath, G.: MHD flow over a moving plate in a rotating fluid with magnetic field, hall currents and free stream velocity. Int. J. Eng. Sci. 40, 1511–1527 (2002)CrossRefGoogle Scholar
  20. 20.
    Uddin, Z., Harmand, S.: Natural convection heat transfer flow of nano fluids along a vertical plate embedded in porous medium. Nano scale Res Lett 8, 64–73 (2013)CrossRefGoogle Scholar
  21. 21.
    Walters, K.: The motion of an elastico-viscous liquid contained between co-axial cylinders. Q. J. Mech. Appl. Math. 13, 444–461 (1960)MathSciNetCrossRefGoogle Scholar
  22. 22.
    Walters, K.: The solutions of flow problems in the case of materials with memories. J. Mech. 1, 473–478 (1962)Google Scholar
  23. 23.
    Yasin, M.H.M., Arifin, N.M., Nazar, R., Ismail, F., Pop, I.: Mixed convection boundary layer flow embedded in thermally stratified porous medium saturated by a nano fluid. Adv. Mech. Eng. 121943 (2013) http://dx.doi.org/10.1155/2013/121943

Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.Department of MathematicsDibrugarh UniversityDibrugarhIndia
  2. 2.Department of MathematicsNamrup CollegeNamrupIndia

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