Advertisement

Journal of Mechanical Science and Technology

, Volume 31, Issue 4, pp 1937–1945 | Cite as

Natural convection of nanofluid in a wavy cavity in the presence of magnetic field on variable heat surface temperature

Article
  • 83 Downloads

Abstract

A numerical analysis has been performed to investigate the laminar natural convection heat characteristics in a wavy cavity filled with CuO/water nanofluid. One of the sinusoidal walls (BC) is at the volatile high temperature and the opposite wavy surface is at a stable low temperature and the two other walls are considered flat and insulated while the uniform magnetic field is considered. Performing the analysis, the governing equations are given in terms of the stream function-vorticity formulation. In order to solve the nondimensionalized equations, discretizing with second-order accurate central difference method is performed then the successive under relaxation method with appropriate boundary conditions is considered. To validate the numerical model, various comparisons with previously published studies have been conducted and the results are in a good agreement. The main objective is to survey the effects of the Rayleigh number, Hartmann number, and nanoparticles volume fraction on the fluid flow and heat transfer characteristics. The results are illustrated in contours of stream function, constant temperature, and Nusselt number. The results show that the presence of the magnetic field the local Nusselt number decreases at the hot wall. Moreover, the enhancement in the heat transfer performance increases with an increasing nanoparticle concentration. However, for all values of Rayleigh number, the presence of nanoparticles leads to significant enhancement in heat transfer and the increase of Rayleigh number causes the heat transfer mechanism to change from conduction to convection.

Keywords

Wavy cavity Nanofluid Magnetic field Natural convection 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    X. Wang, D. Li and H. Jiao, Heat transfer enhancement of Cu-water nanofluids considering Brownian motion of nanoparticles in a singular cavity, Journal of Information and Computational Science, 9 (5) (2012) 1223–1235.Google Scholar
  2. [2]
    O. Manca, S. Nardini, D. Ricci and S. Tamburrino, Numeri-cal investigation on mixed convection in triangular crosssection ducts with nanofluids, Advanced in Mechanical Engineering, 7 (1) (2015) 13.CrossRefGoogle Scholar
  3. [3]
    J. Guiet, M. Reggio and P. Vasseeur, Natural convection of nanofluids in square enclosure with a protruding heat, Advanced in Mechanical Engineering, 4 (2012) (167296) 11.CrossRefGoogle Scholar
  4. [4]
    J. Rahmannezhad, A. Ramezani and M. Kalteh, Numerical investigation of magnetic field effects on mixed convection flow in a nanofluid-filled lid driven cavity, Int. J. of Engineering, 26 (10) (2013) 1213–1224.Google Scholar
  5. [5]
    E. Abu-Nada, Effects of variable viscosity and thermal conductivity of CuO-Water nanofluid on heat transfer enhancement in natural convection, Mathematical Model and Simulation, ASME J. Heat Transf., 132 (5) (2010) 052401.CrossRefGoogle Scholar
  6. [6]
    E. Abu-Nada, Effects of variable viscosity and thermal conductivity of Al2O3-water nanofluid on heat transfer enhancement in natural convection, Int. J. Heat Fluid Flow, 30 (2009) 679–690.CrossRefGoogle Scholar
  7. [7]
    A. K. Santra, S. Sen and N. Chakraborty, Study of heat transfer characteristics of copper-water nanofluid in a differentially heated square cavity with different viscosity models, J. Enhanced Heat Transf., 15 (4) (2008) 273–287.CrossRefGoogle Scholar
  8. [8]
    J. Ho, M. W. Chen and Z. W. Li, Numerical simulation of natural convection of nanofluid in a square enclosure: Effects due to uncertainties of viscosity and thermal conductivity, Int. J. Heat Mass Transfer, 51 (17-18) (2008) 4506–4516.CrossRefMATHGoogle Scholar
  9. [9]
    A. Al-Amiri, K. Khanafer, J. Bull and I. Pop, Effect of sinusoidal wavy bottom surface on mixed convection heat transfer in a lid-driven cavity, International Journal of Heat and Mass Transfer, 50 (2007) 1771–1780.CrossRefMATHGoogle Scholar
  10. [10]
    C. C. Cho, C. L. Chen and C. K. Chen, Mixing of non-Newtonian fluids in wavy serpentine microchannel using electro kinetically-driven flow, Electrophoresis, 33 (5) (2012) 743–750.CrossRefGoogle Scholar
  11. [11]
    E. Abu-Nada and H. F. Oztop, Numerical analysis of Al2O3/water nanofluids natural convection in a wavy walled cavity, Numerical Heat Transfer, Part A: Applications, 59 (5) (2011) 403–419.Google Scholar
  12. [12]
    C. C. Cho, C. L. Chen and C. K. Chen, Natural convection heat transfer performance in complex-wavy wall enclosed cavity filled with nanofluid, Int. J. Therm. Sci., 60 (2012) 255–263.CrossRefGoogle Scholar
  13. [13]
    M. Esmaeilpour and M. Abdollahzadeh, Free convection and entropy generation of nanofluid inside an enclosure with different patterns of vertical wavy walls, International Journal of Thermal Sciences, 52 (2012) 127–136.CrossRefGoogle Scholar
  14. [14]
    C.-C. Cho, C.-L. Chen and C.-K. Chen, Mixed convection heat transfer performance of water-based nanofluids in liddriven cavity with wavy surfaces, International Journal of Thermal Sciences, 68 (2013) 181e190.CrossRefGoogle Scholar
  15. [15]
    E. Abu-Nada and A. J. Chamkha, Mixed convection flow of a nanofluid in a lid-driven cavity with a wavy wall, International Communications in Heat and Mass Transfer, 57 (2014) 36–47.CrossRefGoogle Scholar
  16. [16]
    C.-C. Cho, Heat transfer and entropy generation of natural convection in nanofluid-filled square cavity with partiallyheated wavy surface, International Journal of Heat and Mass Transfer, 77 (2014) 818–827.CrossRefGoogle Scholar
  17. [17]
    M. A. Sheremet, I. Popc and A. Shenoy, Unsteady free convection in a porous open wavy cavity filled with a nanofluid using Buongiorno's mathematical model, International Communications in Heat and Mass Transfer, 67 (2015) 66–72.CrossRefGoogle Scholar
  18. [18]
    M. A. Sheremet, I. Pop and N. Bachok, Effect of thermal dispersion on transient natural convection in a wavy-walled porous cavity filled with a nanofluid: Tiwari and Das’ nanofluid model, International Journal of Heat and Mass Transfer, 92 (2016) 1053–1060.CrossRefGoogle Scholar
  19. [19]
    R. K. Tiwari and M. K. Das, Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids, Int. J. Heat Mass Transfer, 50 (2007) 2002–2018.CrossRefMATHGoogle Scholar
  20. [20]
    A. H. Mahmoudi, I. Pop and M. Shahi, Effect of magnetic field on natural convection in a triangular enclosure filled with nanofluid, Int. J. Thermal Science, 59 (2012) 12–140.CrossRefGoogle Scholar
  21. [21]
    M. A. A. Hamad, I. Pop and A. I. Md Ismail, Magnetic field effects on free convection flow of a nanofluid past a vertical semi-infinite flat plate, Nonlinear Analysis: Real World Applications, 12 (3) (2011) 1338–1346.MathSciNetCrossRefMATHGoogle Scholar
  22. [22]
    S. Selimli, Z. Recebli and E. Arcaklioglu, MHD numerical analyses of hydrodynamically developing laminar liquid lithium duct flow, International Journal of Hydrogen Energy, 40 (2015) 15358–15364.CrossRefGoogle Scholar
  23. [23]
    Z. Recebli, S. Selimli and E. Gedik, Three dimensional numerical analysis of magnetic field effect on Convective heat transfer during the MHD steady state laminar flow of liquid lithium in a cylindrical pipe, Computers & Fluids, 88 (2013) 410–417.MathSciNetCrossRefGoogle Scholar
  24. [24]
    S. Selimli, Z. Recebli and E. Arcaklioglu, Combined effects of magnetic and electrical field on the hydrodynamic and thermophysical parameters of magnetoviscous fluid flow, International Journal of Heat and Mass Transfer, 86 (2015) 426–432.CrossRefGoogle Scholar
  25. [25]
    M. Sheikholeslami, M. Gorji-Bandpy, D. D. Ganji and S. Soleimani, Natural convection heat transfer in a cavity with sinusoidal wall filled with CuO-water nanofluid in presence of magnetic field, Journal of the Taiwan Institute of Chemical Engineers, 45 (1) (2014) 40–49.CrossRefGoogle Scholar
  26. [26]
    M. M. Rashidi, M. Nasiri, M. Khezerloo and N. Laraqi, Numerical investigation of magnetic field effect on mixed convection heat transfer of nanofluid in a channel with sinusoidal walls, Journal of Magnetism and Magnetic Materials, 40 (1) (2016) 159–168.CrossRefGoogle Scholar
  27. [27]
    J. C. Maxwell, A treatise on electricity and magnetism, London: Oxford University Press (1904).MATHGoogle Scholar
  28. [28]
    S. M. S. Murshed, K. C. Leong and C. Yang, Enhanced thermal conductivity of TiO2-water based nanofluids, Int. J. Thermal Sci., 44 (4) (2005) 367–373.CrossRefGoogle Scholar
  29. [29]
    E. V. Timofeeva, J. L. Routbort and D. Singh, Particle shape effects on thermo physical properties of alumina nano fluids, J. Appl. Phys., 106 (014304) (2009) 10.Google Scholar
  30. [30]
    B. C. Pak and Y. I. Cho, Hydrodynamic and heat transfer study ofdispersed fluids with submicron metallic oxide particles, Exp Heat Transfer Int. J., 11 (2) (1998) 151–170.CrossRefGoogle Scholar
  31. [31]
    H. C. Brinkman, The viscosity of concentrated suspensions and solution, J. Chem. Phys., 20 (1952) 571–581.CrossRefGoogle Scholar
  32. [32]
    M. Sheikholeslami, S. Soleimani, M. Gorji-Bandpy, D. D. Ganji and S. M. Seyyedi, Natural convection of nanofluids in an enclosure between acircular and a sinusoidal cylinder in the presence of magnetic field, Int. Commun Heat Mass Transfer, 39 (9) (2012) 1435–1443.CrossRefGoogle Scholar
  33. [33]
    J. Koo and C. Kleinstreuer, Laminar nanofluid flow in microheat-sinks, Int. J. Heat Mass Transfer, 48 (2005) 2652–2661.CrossRefMATHGoogle Scholar
  34. [34]
    K. Khanafer, K. Vafai and M. Lightstone, Buoyancy-driven heat transfer enhancement in a two-dimensional enclosure utilizing nanofluids, International Journal of Heat and Mass Transfer, 46 (2003) 3639–3653.CrossRefMATHGoogle Scholar
  35. [35]
    G. Barakos and E. Mitsoulis, Natural convection flow in a square cavity revisited: Laminar and turbulent models with wall functions, Int. J. Numerical Methods Fluids, 18 (1994) 695–719.CrossRefMATHGoogle Scholar
  36. [36]
    T. Fusegi, J. M. Hyun, K. Kuwahara and B. Farouk, A numerical study of three-dimensional natural convection in a differentially heated cubical enclosure, Int. J. Heat Mass Transfer, 34 (1991) 1543–1557.CrossRefGoogle Scholar

Copyright information

© The Korean Society of Mechanical Engineers and Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  • Korosh Javaherdeh
    • 1
  • Mehdi Moslemi
    • 2
  • Mona Shahbazi
    • 2
  1. 1.Faculty of Mechanical EngineeringUniversity of GuilanRashtIran
  2. 2.Department of Mechanical Engineering, University Campus 2University of GuilanRashtIran

Personalised recommendations