Skip to main content
SpringerLink
Log in

Physical optimization of a wavy porous cavity filled by nanofluids in the presence of solar radiations using the Box-Behnken design (BBD)

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

Abstract.

In this paper, the physical optimization of a wavy porous cavity is evaluated while it is filled with nanofluids and under the solar radiation heat flux by using numerical and statistical methods. The effect of four parameters is discussed on the Nusselt number: Wavy amplitude ( \(A_{m}\), solar heat flux, Darcy number and Rayleigh number. To find the effect and interaction of these parameters on the heat transfer, a Box-Behnken design (BBD) is used and analysis is performed on the 27 experiments proposed by BBD. Analysis of variance (ANOVA) of the results revealed that solar heat flux and wave amplitude have a strong effect on the Nusselt number compared to Darcy and Rayleigh numbers. Finally, the response surface methodology (RSM) was applied to find the optimized case while its error was 0.002% in predicting the Nusselt number for the optimized case which confirms the high accuracy of results.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Dengwei Jing, Yuan Hu, Maochang Liu, Jinjia Wei, Liejin Guo, Sol. Energy 112, 30 (2015)

    Article  ADS  Google Scholar 

  2. B. Tahereh, A.A. Gorji, Sol. Energy 122, 314 (2015)

    Article  ADS  Google Scholar 

  3. Rehena Nasrin, M.A. Alim, Int. J. Eng. Sci. Technol. 5, 58 (2013)

    Google Scholar 

  4. Junaid Ahmad Khan, M. Mustafa, T. Hayat, A. Alsaedi, Int. J. Heat Mass Transfer 86, 158 (2015)

    Article  Google Scholar 

  5. V. Cregan, T.G. Myers, Int. J. Heat Mass Transfer 90, 505 (2015)

    Article  Google Scholar 

  6. Mustafa Turkyilmazoglu, Energy Convers. Manag. 114, 1 (2016)

    Article  Google Scholar 

  7. M. Hatami, G. Domairry, Powder Technol. 253, 481 (2014)

    Article  Google Scholar 

  8. M. Hatami, D.D. Ganji, Powder Technol. 258, 94 (2014)

    Article  Google Scholar 

  9. M. Hatami, D.D. Ganji, Particuology 16, 206 (2014)

    Article  Google Scholar 

  10. A.S. Dogonchi, M. Hatami, G. Domairry, Powder Technol. 274, 186 (2015)

    Article  Google Scholar 

  11. M. Haghshenas Fard, M. Nasr Esfahany, M.R. Talaie, Int. Commun. Heat Mass Transf. 37, 91 (2010)

    Article  Google Scholar 

  12. Sinan Göktepe, Kunt Atalík, Hakan Ertürk, Int. J. Thermal Sci. 80, 83 (2014)

    Article  Google Scholar 

  13. Mohyud-Din, Syed Tauseef, Zulfiqar Ali Zaidi, Umar Khan, Naveed Ahmed, Aerospace Sci. Technol. 46, 514 (2015)

    Article  Google Scholar 

  14. Tasawar Hayat, Maria Imtiaz, Ahmed Alsaedi, Marwan A. Kutbi, J. Magn. & Magn. Mater. 396, 31 (2015)

    Article  ADS  Google Scholar 

  15. J.A. Khan, M. Mustafa, T. Hayat, A. Alsaedi, Int. J. Heat. Mass. Transfer 86, 158 (2015)

    Article  Google Scholar 

  16. K. Milani Shirvan, M. Mamourian, S. Mirzakhanlari, R. Ellahi, K. Vafai, Int. J. Heat Mass Transfer 105, 811 (2017)

    Article  Google Scholar 

  17. M. Fakour, A. Vahabzadeh, D.D. Ganji, M. Hatami, J. Mol. Liq. 204, 198 (2015)

    Article  Google Scholar 

  18. Seiyed E. Ghasemi, M. Hatami, A. Kalani Sarokolaie, D.D. Ganji, Physica E 70, 146 (2015)

    Article  ADS  Google Scholar 

  19. S.E. Ghasemi, M. Hatami, G.H.R. Mehdizadeh Ahangar, D.D. Ganji, J. Electrostat. 72, 47 (2014)

    Article  Google Scholar 

  20. M. Rahimi-Gorji, O. Pourmehran, M. Hatami, D.D. Ganji, Eur. Phys. J. Plus 130, 22 (2015)

    Article  Google Scholar 

  21. G. Domairry, M. Hatami, J. Mol. Liq. 193, 37 (2014)

    Article  Google Scholar 

  22. A.R. Ahmadi, A. Zahmatkesh, M. Hatami, D.D. Ganji, Powder Technol. 258, 125 (2014)

    Article  Google Scholar 

  23. M. Hatami, D.D. Ganji, Ceram. Int. 40, 6765 (2014)

    Article  Google Scholar 

  24. M. Hatami, D.D. Ganji, Int. J. Refrig. 40, 140 (2014)

    Article  Google Scholar 

  25. M. Hatami, G.H.R. Mehdizadeh Ahangar, D.D. Ganji, K. Boubaker, Energy Convers. Manag. 84, 533 (2014)

    Article  Google Scholar 

  26. M. Hatami, D. Song, D. Jing, Int. J. Heat Mass Transfer 98, 758 (2016)

    Article  Google Scholar 

  27. G.H.R. Kefayati, Powder Technol. 299, 127 (2016)

    Article  Google Scholar 

  28. G.H.R. Kefayati, Int. J. Heat Mass Transfer 108, 1481 (2017)

    Article  Google Scholar 

  29. G.H.R. Kefayati, Int. J. Heat Mass Transfer 94, 582 (2016)

    Article  Google Scholar 

  30. G.H.R. Kefayati, Int. J. Heat Mass Transfer 94, 539 (2016)

    Article  Google Scholar 

  31. G.H.R. Kefayati, Int. J. Heat Mass Transfer 112, 709 (2017)

    Article  Google Scholar 

  32. Tazraei, Pedram, Alireza Riasi, J. Fluids Eng. 138, 011203 (2016)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Industrial Engineering, Esfarayen University of Technology (EUT), Esfarayen, North Khorasan, Iran

    A. Ghorbanian

  2. Department of Material Engineering, Esfarayen University of Technology (EUT), Esfarayen, North Khorasan, Iran

    M. Tahari

  3. Department of Mechanical Engineering, Esfarayen University of Technology (EUT), Esfarayen, North Khorasan, Iran

    M. Hatami

Authors
  1. A. Ghorbanian
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. Tahari
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. M. Hatami
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. Hatami.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ghorbanian, A., Tahari, M. & Hatami, M. Physical optimization of a wavy porous cavity filled by nanofluids in the presence of solar radiations using the Box-Behnken design (BBD). Eur. Phys. J. Plus 132, 278 (2017). https://doi.org/10.1140/epjp/i2017-11583-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/i2017-11583-8

Search

Navigation