Impact of inclined magnetic field on micropolar Casson fluid using Keller box algorithm

  • Z. Iqbal
  • R. Mehmood
  • Ehtsham Azhar
  • Zaffar Mehmood
Regular Article

Abstract.

The present study examines the influence of an inclined magnetic field on a micropolar Casson fluid flow over a stretching sheet. Viscous dissipation effects are also taken into consideration. The governing physical problem is presented using the traditional Navier-Stokes theory. By means of the scaling group of transformation, a consequential system of equations is transformed into a set of nonlinear ordinary differential equations which are then solved using the implicit finite-difference approximation (Keller box method). The working fluid is examined for several sundry parameters graphically and in tabular form. It is observed that with an increase in inclination angle, the velocity profile decreases while temperature enhances. The Eckert number enhances flow velocity and temperature, whereas it decreases shear stress at the wall and heat transfer rate. The rheological fluid parameter contributes to the decline of velocity and temperature for weak as well as strong concentrations of micro elements.

References

  1. 1.
    B.P. Jadhav, B.B. Waghmode, Wärme- und Stoffübertragung 25, 377 (1990)ADSCrossRefGoogle Scholar
  2. 2.
    R.R. Huilgol, Z. You, J. Non-Newtonian Fluid Mech. 128, 126 (2005)CrossRefGoogle Scholar
  3. 3.
    A. Iahak, R. Nazar, I. Pop, Can. J. Phys. 84, 399 (2006)ADSCrossRefGoogle Scholar
  4. 4.
    T. Hayat, Z. Iqbal, M. Sajid, K. Vajravelu, Int. Commun. Heat Mass Transfer 35, 1297 (2008)CrossRefGoogle Scholar
  5. 5.
    Y.C. Fung, Biodynamics circulation (New York Inc., Springer Verlag, 1984)Google Scholar
  6. 6.
    N. Casson, A flow equation for the pigment oil suspensions of the printing ink type, in Rheology of Disperse Systems (Pergamon, New York, NY, 1959) pp. 84--102Google Scholar
  7. 7.
    S.A. Shehzad, T. Hayat, M. Qasim, S. Asghar, Braz. J. Chem. Eng. 30, 187 (2013)CrossRefGoogle Scholar
  8. 8.
    S. Pramanik, Ain Shams Eng. J. 5, 205 (2014)CrossRefGoogle Scholar
  9. 9.
    Imran Ullah, I. Khan, S. Shafie, Alex. Eng. J. 55, 2139 (2016)CrossRefGoogle Scholar
  10. 10.
    A.C. Eringen, J. Math. Mech. 16, 1 (1966)MathSciNetGoogle Scholar
  11. 11.
    A.C. Eringen, J. Math. Appl. 38, 480 (1972)Google Scholar
  12. 12.
    T. Ariman, M.A. Turk, N.D. Sylvester, Int. J. Eng. Sci. 12, 273 (1974)CrossRefGoogle Scholar
  13. 13.
    M. Sheikholeslami, M. Hatami, D.D. Ganji, J. Mol. Liq. 194, 30 (2014)CrossRefGoogle Scholar
  14. 14.
    R. Mehmood, S. Nadeem, S. Masood, J. Magn. & Magn. Mater. 401, 1006 (2016)ADSCrossRefGoogle Scholar
  15. 15.
    M. Ashraf, N. Jameel, K. Ali, Appl. Math. Mech. 34, 1263 (2013)CrossRefGoogle Scholar
  16. 16.
    M. Ashraf, K. Batool, J. Theor. Appl. Mech. 51, 25 (2013)Google Scholar
  17. 17.
    F. Ahmad, S. Hussain, J. Appl. Environ. Biol. Sci. 5, 6 (2015)Google Scholar
  18. 18.
    B. Mohanty, S.R. Mishra, H.B. Pattanayak, Alex. Eng. J. 54, 223 (2015)CrossRefGoogle Scholar
  19. 19.
    S. Nadeem, S. Masood, R. Mehmood, M.A. Sadiq, PloS ONE 10, 0124016 (2015)CrossRefGoogle Scholar
  20. 20.
    K. Das, A. Sarkar, J. Appl. Mech. Tech. Phys. 57, 681 (2016)ADSCrossRefGoogle Scholar
  21. 21.
    K. Singh, M. Kumar, Ain Shams Eng. J. (2016) DOI:10.1016/j.asej.2016.04.017
  22. 22.
    T. Hayat, O.U. Mehmood, Commun. Nonlinear Sci. Numer. Simulat. 16, 1363 (2011)ADSCrossRefGoogle Scholar
  23. 23.
    A.M. Abd-Alla, G.A. Yahya, S.R. Mahmoud, H.S. Alosaimi, Meccanica 47, 1455 (2012)MathSciNetCrossRefGoogle Scholar
  24. 24.
    N. Sandeep, V. Sugunamma, Int. J. Appl. Math. Model. 1, 16 (2013)Google Scholar
  25. 25.
    P. Bitla, T.K.V. Iyengar, Eur. J. Mech. B/Fluids 48, 174 (2014)ADSMathSciNetCrossRefGoogle Scholar
  26. 26.
    F. Selimefendigil, F.O. Hakan, A.J. Chamkha, J. Magn. & Magn. Mater. 406, 266 (2016)ADSCrossRefGoogle Scholar
  27. 27.
    K. Periyadurai, M. Muthtamilselvan, D.H. Doh, J. Magn. & Magn. Mater. 420, 343 (2016)ADSCrossRefGoogle Scholar
  28. 28.
    H.B. Keller, Annu. Rev. Fluid Mech. 10, 417 (1978)ADSCrossRefGoogle Scholar

Copyright information

© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  • Z. Iqbal
    • 1
  • R. Mehmood
    • 1
  • Ehtsham Azhar
    • 1
  • Zaffar Mehmood
    • 1
  1. 1.Department of Mathematics, Faculty of Natural SciencesHITEC UniversityTaxila CanttPakistan

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