Skip to main content
SpringerLink
Log in

Effects of various configurations of an inserted corrugated conductive cylinder on MHD natural convection in a hybrid nanofluid-filled square domain

  • Published:
Journal of Thermal Analysis and Calorimetry Aims and scope Submit manuscript

Abstract

This paper aims to understand the characteristics of heat transfer and flow by natural convection of Al2O3–Cu/water-based hybrid nanofluid-filled square domain containing various configurations of a corrugated conducting solid under a horizontal magnetic field. The basic equations in their non-dimensional form are numerically solved using the finite volume discretization technique. The Corcione correlations are utilized to estimate the overall heat conductivity and overall viscosity of the hybrid nanoliquid when the nanoparticle’s Brownian motion is taken into account. The dependency of different governing factors of the investigation, namely volume fraction of the combined nanoparticles, Rayleigh and Hartmann numbers, undulation number, undulation amplitude and the fluid/solid heat conductivity ratio, on thermohydrodynamic characteristics are delineated. Results stated that the maximum heat transmission rate was obtained for weak values of Hartmann, undulation number, undulation amplitude and high values of Rayleigh and nanoparticles volumic fraction. In addition, the fluid/solid heat conductivity ratio parameter was found to boost the heat transfer at weak Rayleigh while reducing it at high Rayleigh.

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

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13

Similar content being viewed by others

Abbreviations

A:

Undulation amplitude

B0 :

Magnetic field (N Am−2)

C p :

Specific heat (J kg−1 K−1)

g :

Gravitational acceleration (m s−2)

H:

Width of the cavity (m)

k*:

Ratio of fluid/solid heat conductivity

k :

Heat conductivity (W m−1 K−1)

k b :

Constant of Boltzmann, 1.380648 × 10−23 (J K−1)

L :

Size of the cylinder block

N:

Number of undulations

r i :

Main radius of the inner cylinder (m)

T :

Temperature (K)

T fr :

Freezing temperature of the water (273.15 K)

u, v :

Dimensional velocities (m s−1)

U, V :

Dimensionless velocities

x, y :

Dimensional coordinates (m)

X, Y :

Dimensionless coordinates

\(\mu\) :

Dynamic viscosity (kg m−1 s−1)

\(\upsilon\) :

Kinematic viscosity (m2 s−1)

\(\rho\) :

Density (kg m−3)

\(\beta\) :

Thermal expansion coefficient (1 K−1)

\(\phi\) :

Volumic concentration

\(\theta\) :

Dimensionless temperature

\(\psi\) :

Dimensionless stream function

η :

Angular position (°)

α :

Thermal diffusivity (m2 s−1)

σ :

Electrical conductivity (1 Ω−1 m−1)

h:

Hot

c:

Cold

hnf:

Hybrid nanoliquid

s:

Solid

f:

Fluid

hp:

Combined solid nanoparticles

p:

Solid nanoparticles

References

  1. Sajid MU, Ali HM. Recent advances in application of nanofluids in heat transfer devices: a critical review. Renew Sustain Energy Rev. 2019;103:556–92.

    Article  CAS  Google Scholar 

  2. Wahab A, Hassan A, Qasim MA, Ali HM, Babar H, Sajid MU. Solar energy systems—potential of nanofluids. J Mol Liq. 2019;111049.

  3. Raja Sekhar Y, Sharma KV, Thundil Karupparaj R, Chiranjeevi C. Heat transfer enhancement with Al2O3 nanofluids and twisted tapes in a pipe for solar thermal applications. Proc Eng. 2013;64:1474–84.

    Article  CAS  Google Scholar 

  4. Ali HM, Babar H, Shah TR, Sajid MU, Qasim MA, Javed S. Preparation techniques of TiO2 nanofluids and challenges: a review. Appl Sci. 2018;8(4):587.

    Article  Google Scholar 

  5. Salata O. Applications of nanoparticles in biology and medicine. J Nanobiotechnol. 2004;1–6.

  6. Soudagar MEM, Kalam MA, Sajid MU, Afzal A, Banapurmath NR, Akram N, et al. Thermal analyses of minichannels and use of mathematical and numerical models. Numer Heat Transf Part A Appl. 2020;77(5):497–537.

    Article  CAS  Google Scholar 

  7. Saidur R, Leong KY, Mohammad HA. A review on applications and challenges of nanofluids. Renew Sustain Energy Rev. 2011;15:1646–68.

    Article  CAS  Google Scholar 

  8. Sajid MU, Ali HM, Sufyan A, Rashid D, Zahid SU, Rehman WU. Experimental investigation of TiO2–water nanofluid flow and heat transfer inside wavy mini-channel heat sinks. J Therm Anal Calorim. 2019;137(4):1279–94.

    Article  CAS  Google Scholar 

  9. Tayebi T, Chamkha AJ. Buoyancy-driven heat transfer enhancement in a sinusoidally heated enclosure utilizing hybrid nanofluid. Comput Therm Sci Int J. 2017;9.

  10. Tayebi T, Chamkha AJ. Natural convection enhancement in an eccentric horizontal cylindrical annulus using hybrid nanofluids. Numer Heat Transf Part A Appl. 2017;71:1159–73.

    Article  CAS  Google Scholar 

  11. Tayebi T, Chamkha AJ. Free convection enhancement in an annulus between horizontal confocal elliptical cylinders using hybrid nanofluids. Numer Heat Transfer, Part A. 2016;70(10):1141–56.

    Article  CAS  Google Scholar 

  12. Babar H, Sajid MU, Ali HM. Viscosity of hybrid nanofluids: a critical review. Therm Sci. 2019;23(3 Part B):1713–54.

    Article  Google Scholar 

  13. Sajid MU, Ali HM. Thermal conductivity of hybrid nanofluids: a critical review. Int J Heat Mass Transf. 2018;126:211–34.

    Article  CAS  Google Scholar 

  14. Tayebi T, Öztop HF. Entropy production during natural convection of hybrid nanofluid in an annular passage between horizontal confocal elliptic cylinders. Int J Mech Sci. 2020;171:105378.

    Article  Google Scholar 

  15. Labib MN, Nine MJ, Afrianto H, Chung H, Jeong H. Numerical investigation on effect of base fluids and hybrid nanofluid in forced convective heat transfer. Int J Therm Sci. 2013;71:163–71.

    Article  Google Scholar 

  16. Balla HH, Abdullah S, Faizal WM, Zulkifli R, Sopian K. Numerical study of the enhancement of heat transfer for hybrid CuO–Cu nanofluids flowing in a circular pipe. J Oleo Sci. 2013;62(7):533–9.

    Article  CAS  Google Scholar 

  17. Takabi B, Salehi S. Augmentation of the heat transfer performance of a sinusoidal corrugated enclosure by employing hybrid nanofluid. Adv Mech Eng. 2014;6:147059.

    Article  Google Scholar 

  18. Takabi B, Gheitaghy AM, Tazraei P. Hybrid water-based suspension of Al2O3 and Cu nanoparticles on laminar convection effectiveness. J Thermophys Heat Transfer. 2016;30:523–32.

    Article  CAS  Google Scholar 

  19. Rashad AM, Chamkha AJ, Ismael MA, Salah T. Magnetohydrodynamics natural convection in a triangular cavity filled with a Cu–Al2O3/water hybrid nanofluid with localized heating from below and internal heat generation. J Heat Transfer. 2018;140(7):072502.

    Article  Google Scholar 

  20. Benkhedda M, Boufendi T, Tayebi T, et al. Convective heat transfer performance of hybrid nanofluid in a horizontal pipe considering nanoparticles shapes effect. J Therm Anal Calorim. 2020;140:411–25.

    Article  CAS  Google Scholar 

  21. Moghadassi A, Ghomi E, Parvizian F. A numerical study of water based Al2O3 and Al2O3–Cu hybrid nanofluid effect on forced convective heat transfer. Int J Therm Sci. 2015;92:50–7.

    Article  CAS  Google Scholar 

  22. Sundar LS, Singh MK, Sousa AC. Enhanced heat transfer and friction factor of MWCNT–Fe3O4/water hybrid nanofluids. Int Commun Heat Mass Transfer. 2014;52:73–83.

    Article  CAS  Google Scholar 

  23. Alsabery AI, Ismael MA, Chamkha AJ, Hashim I. Mixed convection of Al2O3–water nanofluid in adouble lid-driven square cavity with a solid inner insert using Buongiorno’s two-phase model. Int J Heat Mass Transf. 2018;119:939–61.

    Article  CAS  Google Scholar 

  24. Sheremet M, Oztop H, Pop I, Abu-Hamdeh N. Analysis of entropy generation in natural convection of nanofluid inside a square cavity having hot solid block: Tiwari and Das’ model. Entropy. 2015;18(1):9.

    Article  Google Scholar 

  25. Rahman MM, Mamun MAH, Saidur R. Analysis of magnetohydrodynamic mixed convection and joule heating in lid-driven cavity having a square block. J Chin Inst Eng. 2011;34(5):585–99.

    Article  Google Scholar 

  26. Mahapatra PS, De S, Ghosh K, Manna NK, Mukhopadhyay A. Heat transfer enhancement and entropy generation in a square enclosure in the presence of adiabatic and isothermal blocks. Numer Heat Transf Part A Appl. 2013;64:577–96.

    Article  CAS  Google Scholar 

  27. Sivaraj C, Sheremet M. MHD natural convection in an inclined square porous cavity with a heat conducting solid block. J Magn Magn Mater. 2017;426:351–60.

    Article  CAS  Google Scholar 

  28. Tayebi T, Chamkha AJ. Entropy generation analysis due to MHD natural convection flow in a cavity occupied with hybrid nanofluid and equipped with a conducting hollow cylinder. J Therm Anal Calorim. 2020;139:2165–79.

    Article  CAS  Google Scholar 

  29. Tayebi T, Chamkha AJ. Entropy generation analysis during MHD natural convection flow of hybrid nanofluid in a square cavity containing a corrugated conducting block. Int J Numer Meth Heat Fluid Flow. 2019;30(3):1115–36.

    Article  Google Scholar 

  30. Corcione M. Empirical correlating equations for predicting the effective thermal conductivity and dynamic viscosity of nanofluids. Energy Convers Manag. 2011;52(1):789–93.

    Article  CAS  Google Scholar 

  31. Maxwell JC. A treatise on electricity and magnetism. Oxford: Clarendon Press; 1881.

    Google Scholar 

  32. Patankar SV. Numerical heat transfer and fluid flow. New York: McGraw-Hill; 1980.

    Google Scholar 

  33. House JM, Beckermann C, Smith TF. Effect of a centered conducting body on natural convection heat transfer in an enclosure. Numer Heat Transf. 1990;18(2):213–25.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Faculty of Sciences and Technology, Mohamed El Bachir El Ibrahimi University, Bordj Bou Arreridj, 34030, El-Anasser, Algeria

    Tahar Tayebi

  2. Energy Physics Laboratory, Department of Physics, Faculty of Exact Sciences, Frères Mentouri Constantine1 University, 25000, Constantine, Algeria

    Tahar Tayebi

  3. Institute of Research and Development, Duy Tan University, Da Nang, 550000, Vietnam

    Ali J. Chamkha

  4. Institute of Theoretical and Applied Research (ITAR), Duy Tan University, Hanoi, 100000, Vietnam

    Ali J. Chamkha

Authors
  1. Tahar Tayebi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ali J. Chamkha
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ali J. Chamkha.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Tayebi, T., Chamkha, A.J. Effects of various configurations of an inserted corrugated conductive cylinder on MHD natural convection in a hybrid nanofluid-filled square domain. J Therm Anal Calorim 143, 1399–1411 (2021). https://doi.org/10.1007/s10973-020-10206-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10973-020-10206-y

Keywords

Search

Navigation