Skip to main content
SpringerLink
Log in

Mixed convection and entropy generation in a square cavity using nanofluids

  • Published:
Thermophysics and Aeromechanics Aims and scope

Abstract

In this work, two-dimensional mixed convection and entropy generation of water-(Cu, Ag, Al2O3, and TiO2) nanofluids in a square lid-driven cavity containing two heat sources, have been numerically investigated. The upper lid and bottom wall of the cavity are maintained at a cold temperature TC, respectively. The governing equations along with boundary conditions are solved using the finite volume method. Comparisons with the previous results were performed and found to be in excellent agreement. The effects of the solid volume fraction (0≤φ≤0.10), Rayleigh (103≤Ra≤105) and Reynolds (1≤Re≤500) numbers, and different types of nanofluids on the total entropy generation St and on entropy generation due to heat transfer Sh are presented and discussed. Moreover, the heat sources positions have an effect on the total entropy generation and Bejan number. It was found that St and Sh decrease with increase of φ, Ra, and Re.

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. U.S. Choi, Enhancing thermal conductivity of fluids with nanoparticules, ASME Fluids Engng Division, 1995, Vol. 231, P. 99–105.

    Google Scholar 

  2. F. Selimefendigil, H.F. Oztop, and A. Chamkha, MHD mixed convection and entropy generation of nanofluid filled lid driven cavity under the influence of inclined magnetic fields imposed to its upper and lower diagonal triangular domains, J. Magnetism and Magnetic Materials, 2016, Vol. 406, P. 266–281.

    Article  ADS  Google Scholar 

  3. C. Chen, B. Chen, and C. Liu, Entropy generation in mixed convection magnetohydrodynamic nanofluid flow in vertical channel, Int. J. Heat Mass Transfer, 2015, Vol. 91, P. 1026–1033.

    Article  MathSciNet  Google Scholar 

  4. I. Fersadou, H. Kahalerras, and M.El. Ganaoui, MHD mixed convection and entropy generation of a nanofluid in a vertical porous channel, Comp. Fluids, 2015, Vol. 121, P. 164–179.

    Article  MathSciNet  Google Scholar 

  5. N. Hajialigol, A. Fattahi, M. Haji Ahmadi, M.E. Qomi, and E. Kakoli, MHD mixed convection and entropy generation in a 3-D micro channel using Al2O3-water nanofluid, J. Taiwan Inst. Chem. Engineers, 2015, Vol. 46, P. 30–42.

    Article  Google Scholar 

  6. R.K. Nayak, S. Bhattacharyya, and I. Pop, Numerical study on mixed convection and entropy generation of Cu-water nanofluid in a differentially heated skewed enclosure, Int. J. Heat Mass Transfer, 2015, Vol. 85, P. 620–634.

    Article  Google Scholar 

  7. Z. Mehrez, A. Cafsi, A. Belghith, and P. Le Quéré, The entropy generation analysis in the mixed convection assisting flow of Cu-water nanofluid in a inclined open cavity, Advanced Powder Technology, 2015, Vol. 26, P. 1442–1451.

    Article  Google Scholar 

  8. H. Khorasanizadeh, M. Nikfar, and J. Amani, Entropy generation of Cu-water nanofluid mixed convection in a cavity, European J. Mechanics — B/Fluids, 2013, Vol. 37, P. 143–152.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  9. F. Selimefendigil and H.F. Oztop, Natural convection and entropy generation of nanofluid filled cavity having different shaped obstacles under the influence of magnetic field and internal heat generation, J. Taiwan Inst. Chem. Engng, 2015, Vol. 56, P. 42–56.

    Article  Google Scholar 

  10. G.H.R. Kefayati, FDLBM Simulation of entropy generation due to natural convection in an enclosure filled with non-Newtonian nanofluid, Powder Technology, 2015, Vol. 273, P. 176–190.

    Article  Google Scholar 

  11. M. Roy, S. Roy, and T. Bassak, Analysis of entropy generation on mixed convection in square enclosures for various horizontal or vertical moving wall(s), Int. Communs in Heat Mass Transfer, 2015, Vol. 68, P. 258–266.

    Article  Google Scholar 

  12. V. Bianco, S. Nardini, and O. Manca, Enhancement of heat transfer and entropy generation analysis of nanofluids turbulent convection flow in square section tubes, Nanoscale Research Letters, 2011, Content/6/1/252.

    Google Scholar 

  13. I. Mejri, A. Mahmoudi, M.A. Abbasi, and A. Omri, Effet du champ magnétique sur la génération d’entropie dans une cavité remplie de nanofluide et sinusoïdalement chauffée, Research Gate, 2014, Publication/280134544.

    Google Scholar 

  14. S.M. Sebdania, M. Mahmoodia, and S.M. Hashemi, Effect of nanofluid variable properties on mixed convection in a square cavity, Int. J. Thermal Sci., 2012, Vol. 52, P. 112–126.

    Article  Google Scholar 

  15. Alinia M., Ganji D.D., Gorji-Bandpy M. Numerical study of mixed convection in an inclined two-sided lid-driven cavity filled with nanofluid using two-phase mixture model // Int. Communication in Heat Mass Transfer. 2011. Vol. 38. P. 1428–1435.

    Article  Google Scholar 

  16. M. Akbari, A. Behzadmehr, and F. Shahraki, Fully developed mixed convection in horizontal and inclined tubes with uniform heat flux using nanofluid, Int. J. Heat Fluid Flow, 2008, Vol. 29, P. 545–556.

    Article  Google Scholar 

  17. R. Jmai, B. Ben-Beya, and T. Lili, Heat transfer and fluid flow of nanofluid-filled enclosure with two partially heated sidewalls and different nanoparticules, Superlattices and Microstructures, 2013, Vol. 53, P. 130–154.

    Article  ADS  Google Scholar 

  18. M. Mahmoodi and S.M. Hashemi, Numerical study of natural convection of a nanofluid in C-shaped enclosures, Int. J. Therm. Sci., 2012, Vol. 55, P. 76–89.

    Article  Google Scholar 

  19. A.A. Arani, S.M. Sebdani, and M. Mahmoodi, Numerical study of mixed convection flow in a lid-driven cavity with sinusoidal heating on sidewalls using nanofluid, Superlattices and Microstructures, 2012, Vol. 51, P. 893–911.

    Article  ADS  Google Scholar 

  20. M.M. Rahman, M.M. Billah, M. Hasanuzzaman, R. Saidur, and N.A. Rahim, Heat transfer enhancement of nanofluid in a lid-driven square enclosure, Numerical Heat Transfer, 2012, P. 973–991.

    Google Scholar 

  21. M. Salari, M.M. Tabar, A.M. Tabar, and H.A. Danesh, Mixed convection of nanofluid flows in a square lid-driven cavity heated partially from both the bottom and side walls, Numerical Heat Transfer, 2012, P. 158–177.

    Google Scholar 

  22. M. Magherbi, H. Abbassi, and A. Ben Brahim, Entropy generation at the onset of natural convection, Int. J. Heat Mass Transfer, 2003, Vol. 46, P. 3441–3450.

    Article  MATH  Google Scholar 

  23. I. Zeghbid and R. Bessaïh, Mixed convection in lid-driven cavities filled with a nanofluid, Int. J. Heat and Technology, 2015, Vol. 33, No. 4, P. 77–84.

    Article  Google Scholar 

  24. H.C. Brinkman, The viscosity of concentrated suspensions and solutions, J. Chem. Phys., 1952, Vol. 20, No. 4, P. 571–581.

    Article  ADS  Google Scholar 

  25. S.V. Patankar, Numerical Heat Transfer and Fluid Flow, Hemisphere Publ. Corp., New York, 1980.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. University of Frères Mentouri, Constantine, Algeria

    I. Zeghbid & R. Bessaïh

Authors
  1. I. Zeghbid
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. R. Bessaïh
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to I. Zeghbid.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zeghbid, I., Bessaïh, R. Mixed convection and entropy generation in a square cavity using nanofluids. Thermophys. Aeromech. 25, 245–256 (2018). https://doi.org/10.1134/S0869864318020105

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0869864318020105

Key words

Search

Navigation