Skip to main content

Numerical investigation of unsteady MHD mixed convective flow of hybrid nanofluid in a corrugated trapezoidal cavity with internal rotating heat-generating solid cylinder

The European Physical Journal Special Topics (2022)Cite this article

Abstract

This study examines the magnetohydrodynamic flow of hybrid silver-alumina (Ag-Al\(_2\)O\(_3\))/water nanofluid within a corrugated trapezoidal cavity that contains a heat-generating rotating solid cylinder. The hybrid nanofluid flow and convective heat transfer are modelled using a single-phase approach. The governing equations for fluid flow and convective heat transfer are solved using the penalty finite element method. The finite element algorithm was validated against previously published work, and it was found to be in good agreement with the existing literature. We investigate the effects of the Ag and Al\(_2\)O\(_3\) nanoparticle diameters and the radius of the heat-generating solid cylinder on streamlines, isotherms and average Nusselt number. The results of this study reveal that the flow circulation regions near the rotating cylinder are enhanced with increased nanoparticle diameters and cylinder radius. Moreover, the nanofluid temperature and heat transfer rate are increased with reduced nanoparticle diameters and increased cylinder radius.

This is a preview of subscription content, access via your institution.

Access options

Buy single article

Instant access to the full article PDF.

USD 39.95

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

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

References

  1. S.E. Ahmed, M.A. Mansour, A.K. Hussein, B. Mallikarjuna, M.A. Almeshaal, L. Kolsi, J. Therm. Anal. Calorim. 138, 1443–1460 (2019)

    Article  Google Scholar 

  2. V.M. Job, S.R. Gunakala, Numer. Heat Transf. Part A 69(4), 421–443 (2016)

  3. M.V. Bozorg, M. Siavashi, Int. J. Mech. Sci. 151, 842–857 (2019)

    Article  Google Scholar 

  4. V.M. Job, S.R. Gunakala, B. Rushi Kumar, R. Sivaraj, Appl. Therm. Eng. 115, 363–377 (2017)

    Article  Google Scholar 

  5. V.M. Job, S.R. Gunakala, Int. J. Heat Mass Transf. 120, 970–986 (2018)

    Article  Google Scholar 

  6. V.M. Job, S.R. Gunakala, Int. J. Heat Mass Transf. 107, 133–145 (2017)

    Article  Google Scholar 

  7. F. Garoosi, M.M. Rashidi, Int. J. Mech. Sci. 131–132, 1026–1048 (2017)

    Article  Google Scholar 

  8. E.V. Shulepova, M.A. Sheremet, H.F. Oztop, N. Abu-Hamdeh, J. Therm. Anal. Calorim. 146, 725–738 (2021)

    Article  Google Scholar 

  9. A.I. Alsabery, T. Tayebi, H.T. Kadhim, M. Ghalambaz, I. Hashim, A.J. Chamkha, J. Adv. Res. 30, 63–74 (2021)

    Article  Google Scholar 

  10. L.G. Leal, Advanced Transport Phenomena: Fluid Mechanics and Convective Transport Processes (Cambridge University Press, New York, 2007)

    Book  Google Scholar 

  11. P.A. Davidson, An Introduction to Magnetohydrodynamics (Cambridge University Press, Cambridge, 2001)

    Book  Google Scholar 

  12. J. Buongiorno, J. Heat Transf. 128, 240–250 (2006)

    Article  Google Scholar 

  13. M. Corcione, Energy Convers. Manag. 52, 789–793 (2011)

    Article  Google Scholar 

  14. W.J. Minkowycz, E.M. Sparrow, J.P. Abraham, Nanoparticle heat transfer and fluid flow. In: Advances in Numerical Heat Transfer, Vol. 4. (CRC Press, 2013)

  15. M.A. Mansour, R.A. Mohamed, M.M. Abd-Elaziz, S.E. Ahmed, Int. Commun. Heat Mass Transf. 37, 1504–1512 (2010)

    Article  Google Scholar 

  16. D. Ganji, S. Kachapi, Application of Nonlinear Systems in Nanomechanics and Nanofluids: Analytical Methods and Applications (Elsevier, New York, 2015)

    Google Scholar 

  17. M. Gholinia, S.A.H. Kiaeian Moosavi, M. Pourfallah, S. Gholinia, D.D. Ganji, Int. J. Ambient Energy 42(16), 1815–1822 (2021)

    Article  Google Scholar 

  18. G.F. Carey, R. Krishnan, Comput. Methods Appl. Mech. Eng. 42, 183–224 (1984)

    ADS  Article  Google Scholar 

  19. C. Johnson, Numerical Solutions of Partial Differential Equations by the Finite Element Method (Cambridge University Press, New York, 1987)

    Google Scholar 

  20. F. Hecht, J. Numer. Math. 20(3–4), 251–265 (2012)

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, The University of the West Indies, Mona, Jamaica

    Victor M. Job

  2. Department of Mathematics and Statistics, The University of the West Indies, St. Augustine, Trinidad and Tobago

    Sreedhara Rao Gunakala

  3. Faculty of Engineering, Kuwait College of Science and Technology, Doha, 35004, Kuwait

    Ali J. Chamkha

Authors
  1. Victor M. Job
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Sreedhara Rao Gunakala
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Ali J. Chamkha
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Sreedhara Rao Gunakala.

Ethics declarations

Conflict of interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Job, V.M., Gunakala, S.R. & Chamkha, A.J. Numerical investigation of unsteady MHD mixed convective flow of hybrid nanofluid in a corrugated trapezoidal cavity with internal rotating heat-generating solid cylinder. Eur. Phys. J. Spec. Top. (2022). https://doi.org/10.1140/epjs/s11734-022-00604-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjs/s11734-022-00604-8