Skip to main content
Log in

Numerical study of forced convection flow and heat transfer of a nanofluid flowing inside a straight circular pipe filled with a saturated porous medium

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

Abstract.

In this paper, the problem of developing forced convection flow of a nanofluid in a constant-wall-temperature circular tube filled with a porous medium is considered. The flow is steady and Brinkman-Forchheimer-extended Darcy equation model is employed. The thermal-equilibrium model is assumed between nanofluid and solid phase. It is also assumed that nanoparticles are distributed non-uniformly inside the pipe, hence the particles volume fraction equation is also coupled with the governing equations. A numerical study has been performed using the Finite-Volume method to analyze heat transfer coefficient of Al2O3 -water nanofluid. The effects of nanoparticles volume fraction and porosity on fluid flow and heat transfer of nanofluids are studied. The results show that the Nusselt number is increased with increasing particles volume fraction. Moreover, the wall shear stresses are increased. Finally, the effect of porosity on particle volume fraction distribution is studied and discussed in detail. We are confident that the reported results are new and original.

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. S.U.S. Choi, Enhancing thermal conductivity of fluids with nanoparticles, in Proceeding of the 1995 ASME International Mechanical Engineering Congress and Exposition, San Francisco, USA, Vol. 66 (ASME, FED 231/MD, 1995) pp. 99--105

  2. S.Z. Heris, S.GH. Etemad, M.N. Esfahany, Int. J. Heat Fluid Flow 28, 203 (2007)

    Article  Google Scholar 

  3. Y. He, Y. Jin, H. Chen, Y. Ding, D. Cang, H. Lu, Int. J. Heat Mass Transf. 50, 2272 (2007)

    Article  Google Scholar 

  4. S. Mirmasoumi, A. Behzadmehr, Appl. Thermal Eng. 28, 717 (2008)

    Article  Google Scholar 

  5. V. Bianco, F. Chiacchio, O. Manca, S. Nardii, Thermal Eng. 29, 3636 (2009)

    Google Scholar 

  6. R. Lotfi, Y. Saboohi, A.M. Rashidi, Int. Commun. Heat Mass Transf. 37, 74 (2010)

    Article  Google Scholar 

  7. M.J. Maghrebi, T. Armaghani, F. Talebi, Thermal Sci. J. 16, 455 (2012)

    Article  Google Scholar 

  8. J. Buongiorno, ASME J. Heat Transf. 128, 240 (2006)

    Article  Google Scholar 

  9. M.M. Heyhat, F. Kowsary, ASME J. Heat Transf. 132, 062401 (2010)

    Article  Google Scholar 

  10. M.J. Maghrebi, M. Nazari, T. Armaghani, Transp. Porous. Media. 93, 405 (2012)

    Article  MathSciNet  Google Scholar 

  11. A.V. Kuznetsov, D.A. Nield, Transp. Porous. Med. 83, 425 (2010)

    Article  Google Scholar 

  12. R.S.R. Gorla, A.J. Chamka, A.M. Rashad, Nanoscale Res. Lett. 6, 207 (2011)

    Article  ADS  Google Scholar 

  13. D.A. Nield, A.V. Kuznetsov, Int. J. Heat Mass Transf. 70, 430 (2014)

    Article  Google Scholar 

  14. B.C. Pak, Y.I. Cho, Exp. Heat Transf. 11, 151 (1998)

    Article  ADS  Google Scholar 

  15. J.H. Lee, K.S. Hwang, S.P. Jang, B.H. Lee, J.H. Kim, S.U.S. Choi, Ch.J. Choi, Int. J. Heat Mass Transf. 51, 2651 (2008)

    Article  Google Scholar 

  16. M. Wu, A.V. Kuznetsov, W.J. Jasper, Phys. Fluids 22, 043301 (2010)

    Article  ADS  Google Scholar 

  17. G. Wu, A.V. Kuznetsov, W.J. Jasper, J. Aerosol Sci. 42, 447 (2011)

    Article  Google Scholar 

  18. K. Boomsma, D. Poulikakos, Int. J. Heat Mass Transf. 44, 827 (2001)

    Article  Google Scholar 

  19. J. Buongiorno, N. Prabhat, L.W. Hu, J. Nanofluids 1, 55 (2012)

    Article  Google Scholar 

  20. A. Haji-Sheikh, K. Vafai, Int. J. Heat Mass Transf. 47, 1889 (2001)

    Article  Google Scholar 

  21. K.D. Hagen, Heat Transfer With Application (Prentice-Hall, NJ, USA, 1999) pp. 637--638

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to I. Pop.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Baqaie Saryazdi, A., Talebi, F., Armaghani, T. et al. Numerical study of forced convection flow and heat transfer of a nanofluid flowing inside a straight circular pipe filled with a saturated porous medium. Eur. Phys. J. Plus 131, 78 (2016). https://doi.org/10.1140/epjp/i2016-16078-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/i2016-16078-6

Keywords

Navigation