Skip to main content
Log in

MHD rotating transport of CNTS in a vertical channel submerged with Hall current and oscillations

  • Regular Article
  • Published:
The European Physical Journal Plus Aims and scope Submit manuscript

Abstract.

The present analysis examines the MHD rotating transport of CNTS in a vertical channel submerged with Hall current and oscillations. We have modeled this problem in a rotating frame. The governing equations are derived and simplified into dimensionless form using suitable non-dimensional variables. Moreover, modelling of the problem is completed by incorporating Hall current and temperature oscillation at the boundary. In addition, closed form exact solutions are derived for both velocity and temperature profiles. Single-walled (SWCNT) and multi-walled (MWCNT) carbon nanotubes are taken into account. The effects of pertinent parameters are studied through graphs. It is concluded that the transverse magnetic field is a resisting force which contributes in lowering fluid velocity. Furthermore, for SWCNT and MCWNT nanofluids, this trend remains the same. Moreover, the comparative study between SWCNT and MWCNT nanofluids reveals a slight increase in the temperature of the SWCNT nanofluid for rising values of R , \( \tau\) and n .

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. C.G. Rao, C. Balaji, S.P. Venkateshan, Int. J. Heat Mass Transfer 45, 3331 (2002)

    Article  Google Scholar 

  2. C.G. Rao, C. Balaji, S.P. Venkateshan, Int. J. Transp. Phenom. 5, 75 (2003)

    Google Scholar 

  3. C.G. Rao, Numer. Heat Transfer, Part A 52, 831 (2007)

    Article  ADS  Google Scholar 

  4. D.S. Chauhan, P. Rastogi, Appl. Math. Sci. 4, 643 (2010)

    MathSciNet  Google Scholar 

  5. K. Chand, K.D. Sing, S. Kumar, Adv. Appl. Sci. Res. 3, 2424 (2012)

    Google Scholar 

  6. K.D. Singh, R. Pathak, Indian J. Pure Appl. Phys. 50, 77 (2012)

    Google Scholar 

  7. S.K. Guchhait, S. Das, R.N. Jana, Int. J. Comput. Appl. 49, 1 (2012)

    Google Scholar 

  8. S.K. Guchhait, S. Das, R.N. Jana, Open J. Fluid Dyn. 3, 9 (2013)

    Article  ADS  Google Scholar 

  9. R.C. Meyer, J. Aerospace Sci. 25, 561 (1958)

    Article  Google Scholar 

  10. B.P. Garg, K.D. Singh, A.K. Bansal, Int. J. Innov. Eng. Tech. 3, 164 (2014)

    Google Scholar 

  11. A. Adeniyan, I.A. Abioye, Gen. Math. Notes 32, 80 (2016)

    Google Scholar 

  12. S. Ijima, Nature (London) 354, 56 (1991)

    Article  ADS  Google Scholar 

  13. G.D. Zhan, J.D. Kuntz, J. Wan, A.K. Mukherjee, Nature Mater. 2, 38 (2003)

    Article  ADS  Google Scholar 

  14. M.J. Biercuk, M.C. Llaguno, M. Radosavljevic, J.K. Hyun, A.T. Johnson, Appl. Phys. Lett. 80, 2767 (2002)

    Article  ADS  Google Scholar 

  15. M.F. Zhang, M. Yudasaka, A. Koshio, S. Iijima, Chem. Phys. Lett. 364, 420 (2002)

    Article  ADS  Google Scholar 

  16. D.P. Jaisi, B.N. Saleh, R.E. Blake, M. Elimelech, Environ. Sci. Technol. 42, 8317 (2008)

    Article  ADS  Google Scholar 

  17. M.K.E. Amal, M.M. Farag, Mater. Des. 28, 2394 (2007)

    Article  Google Scholar 

  18. D. Kasel, S.A. Bradford, J. Simunek, M. Heggen, H. Vereecken, E. Klumpp, Water Res. 47, 933 (2013)

    Article  Google Scholar 

  19. N.S. Akbar, J. Comput. Theor. Nanosci. 11, 1642 (2014)

    Article  Google Scholar 

  20. N.S. Akbar, S. Nadeem, Z.H. Khan, Appl. NanoSci. 4, 849 (2014)

    Article  ADS  Google Scholar 

  21. S. Nadeem, R. Mehmood, N.S. Akbar, J. Comput. Theor. Nanosci. 12, 605 (2015)

    Article  Google Scholar 

  22. N.S. Akbar, Z.H. Khan, J. Mol. Liq. 222, 279 (2016)

    Article  Google Scholar 

  23. R. Ellahi, M. Hassan, A. Zeeshan, IEEE Trans. Nanotech. 14, 726 (2015)

    Article  ADS  Google Scholar 

  24. W.A. Khan, R. Culham, R. Haq, J. Nanomater. 2015, 934367 (2015)

    Article  Google Scholar 

  25. A.C.L. Cogley, W.G. Vinvent, E.S. Giles, AIAA J. 6, 551 (1968)

    Article  ADS  Google Scholar 

  26. S. Nadeem, R.Ul. Haq, J. Comput. Theor. Nanosci. 11, 32 (2014)

    Article  Google Scholar 

  27. Noreen Sher Akbar, Syed Ali Abid, Dharmendra Tripathi, Nazir Ahmed Mir, Eur. Phys. J. Plus 132, 110 (2017)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to N. S. Akbar.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Iqbal, Z., Akbar, N.S., Azhar, E. et al. MHD rotating transport of CNTS in a vertical channel submerged with Hall current and oscillations. Eur. Phys. J. Plus 132, 143 (2017). https://doi.org/10.1140/epjp/i2017-11406-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/i2017-11406-0

Navigation