Skip to main content
Log in

On chemical reaction and porous medium effect in the MHD flow due to a rotating disk with variable thickness

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

Abstract.

The present analysis describes the magnetohydrodynamic (MHD) axisymmetric flow of a viscous fluid due to a rotating disk with variable thickness. An electrically conducting fluid fills the porous space. The first-order chemical reaction is considered. The equations of the present problem representing the flow of a fluid are reduced into nonlinear ordinary differential equations. Convergent series solutions are obtained. The impacts of the various involved dimensionless parameters on fluid flow, temperature, concentration, skin frction coefficient and Nusselt number are examined. The radial, tangential and axial components of velocity are affected in a similar manner on changing the thickness coefficient of the disk. Similar effects of the disk thickness coefficient are observed for both the temperature and concentration profile.

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. M. Kumari, I. Pop, G. Nath, Int. J. Non-Linear Mech. 45, 463 (2010)

    Article  ADS  Google Scholar 

  2. V. Kumaran, A.K. Banerjee, A.V. Kumar, I. Pop, Int. Commun. Heat Mass Transf. 38, 335 (2011)

    Article  Google Scholar 

  3. M. Sheikholeslami, D.D. Ganji, M.M. Rashidi, J. Magn. & Magn. Mater. 416, 164 (2016)

    Article  ADS  Google Scholar 

  4. U. Farooq, Y.L. Zhao, T. Hayat, A. Alsaedi, S.J. Liao, Comput. Fluids 111, 69 (2015)

    Article  MathSciNet  Google Scholar 

  5. M. Sheikholeslami, S.A. Shehzad, Int. J. Heat Mass Transfer 106, 1261 (2017)

    Article  Google Scholar 

  6. Z.Y. Xu, J.M. Chen, J.P. Qian, W.H. Jiang, C.J. Pan, W.Z. Li, Fusion Eng. Des. 27, 678 (1995)

    Article  Google Scholar 

  7. T. Hayat, M. Imtiaz, A. Alsaedi, M.A. Kutbi, J. Magn. & Magn. Mater. 396, 31 (2015)

    Article  ADS  Google Scholar 

  8. M.M. Bhatti, A. Zeeshan, N. Ijaz, O.A. Bég, A. Kadir, Eng. Sci. Technol. (2016) DOI:10.1016/j.jestch.2016.11.003

  9. M.M. Rashidi, S.A.M. Pour, S. Abbasbandy, Commun. Nonlinear Sci. Numer. Simul. 16, 1874 (2011)

    Article  ADS  Google Scholar 

  10. T. Hayat, M. Imtiaz, Chin. Phys. B 23, 5 (2014)

    Google Scholar 

  11. T. Hayat, S. Farooq, A. Alsaedi, B. Ahmad, Int. J. Heat Mass Transfer 103, 1133 (2016)

    Article  Google Scholar 

  12. J.H. Merkin, I. Pop, S. Ahmad, Int. J. Heat Mass Transfer 84, 786 (2015)

    Article  Google Scholar 

  13. R. Ellahi, S. Afzal, Commun. Nonlinear Sci. Numer. Simul. 14, 2056 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  14. P. Kundu, V. Kumar, I.M. Mishra, Int. J. Heat Mass Transfer 75, 40 (2014)

    Article  Google Scholar 

  15. M. Sheikholeslami, M. Hatami, D.D. Ganji, J. Mol. Liq. 211, 577 (2015)

    Article  Google Scholar 

  16. W.M. Yan, C.Y. Soong, Int. J. Heat Mass Transfer 40, 773 (1997)

    Article  Google Scholar 

  17. K. Mahmood, M. Sajid, N. Ali, T. Javed, Eng. Sci. Technol. Int. J. 19, 1949 (2016)

    Article  Google Scholar 

  18. M. Turkyilmazoglu, Int. J. Mech. Sci. 56, 86 (2012)

    Article  Google Scholar 

  19. T. Hayat, M. Imtiaz, A. Alsaedi, F. Alzahrani, J. Mol. Liq. 216, 845 (2016)

    Article  Google Scholar 

  20. M.H. Saidi, H. Tamim, Adv. Powder Technol. 27, 564 (2016)

    Article  Google Scholar 

  21. M. Imtiaz, T. Hayat, A. Alsaedi, B. Ahmad, Int. J. Heat Mass Transfer 101, 948 (2016)

    Article  Google Scholar 

  22. L.H. You, Y.Y. Tang, J.J. Zhang, C.Y. Zheng, Int. J. Solids Struct. 37, 7809 (2000)

    Article  Google Scholar 

  23. T. Hayat, Z. Hussain, A. Alsaedi, S. Asghar, Adv. Powder Technol. 27, 1677 (2016)

    Article  Google Scholar 

  24. S.V. Subhashini, R. Sumathi, I. Pop, Int. Commun. Heat Mass Transf. 48, 61 (2013)

    Article  Google Scholar 

  25. M. Farooq, A. Anjum, T. Hayat, A. Alsaedi, J. Mol. Liq. 224, 1341 (2016)

    Article  Google Scholar 

  26. T. Fang, J. Zhang, Y. Zhong, Appl. Math. Comput. 218, 7241 (2012)

    MathSciNet  Google Scholar 

  27. T. Hayat, G. Bashir, M. Waqas, A. Alsaed, J. Mol. Liq. 223, 836 (2016)

    Article  Google Scholar 

  28. M. Bayat, M. Rahimi, M. Saleem, A.H. Mohazzab, I. Wudtke, H. Talebi, Appl. Math. Model. 38, 4625 (2014)

    Article  MathSciNet  Google Scholar 

  29. T. Hayat, M. Rashid, M. Imtiaz, A. Alsaedi, J. Mol. Liq. 225, 482 (2017)

    Article  Google Scholar 

  30. T. Hayat, M. Imtiaz, A. Alsaedi, B. Ahmad, Int. J. Heat Mass Transfer 101, 948 (2016)

    Article  Google Scholar 

  31. F. Mabood, W.A. Khan, A.I.M. Ismail, Chem. Eng. J. 273, 430 (2015)

    Article  Google Scholar 

  32. G.V.P.N. Srikanth, G. Srinivas, B.S. Babu, Proc. Mater. Sci. 10, 10 (2015)

    Article  Google Scholar 

  33. S.M. Hussain, J. Jain, G.S. Seth, M.M. Rashidi, J. Magn. & Magn. Mater. 422, 112 (2017)

    Article  ADS  Google Scholar 

  34. J.I. Oahimire, B.I. Olajuwon, J. King Saud University-Eng. Sci. 26, 112 (2014)

    Article  Google Scholar 

  35. M. Imtiaz, T. Hayat, A. Alsaedi, A. Hobiny, J. Mol. Liq. 221, 245 (2016)

    Article  Google Scholar 

  36. S. Abbasbandy, T. Hayat, Commun. Nonlinear Sci. Numer. Simul. 14, 3591 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  37. M. Pan, L. Zheng, F. Liu, X. Zhang, Appl. Math. Model. 40, 8974 (2016)

    Article  MathSciNet  Google Scholar 

  38. M. Ramzan, S. Inam, S.A. Shehzad, Alex. Eng. J. 55, 311 (2016)

    Article  Google Scholar 

  39. T. Hayat, M. Waqas, M.I. Khan, A. Alsaedi, Int. J. Heat Mass Transfer 102, 1123 (2016)

    Article  Google Scholar 

  40. T. Hayat, S. Qayyum, M. Imtiaz, F. Alzahrani, A. Alsaedi, J. Magn. & Magn. Mater. 413, 39 (2016)

    Article  ADS  Google Scholar 

  41. S. Xun, J. Zhao, L. Zheng, X. Chen, X. Zhang, Int. J. Heat Mass Transfer 103, 1214 (2016)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Maria Imtiaz.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Hayat, T., Nazar, H., Imtiaz, M. et al. On chemical reaction and porous medium effect in the MHD flow due to a rotating disk with variable thickness. Eur. Phys. J. Plus 132, 256 (2017). https://doi.org/10.1140/epjp/i2017-11530-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/i2017-11530-9

Navigation