Skip to main content
SpringerLink
Log in

Heat transfer analysis of nanofluid flow in a channel with non-parallel walls

  • Original Article
  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

The aim of the current investigation is to explore the heat transfer of nanofluid flow in a channel with non-parallel walls. Two different nanoparticles, namely, Cu and Ag, with water as the base fluid are considered. The equations governing the flow are obtained using an appropriate similarity transform and solved analytically with the optimal homotopy asymptotic method (OHAM). Here, OHAM was first used to solve the problem to ensure a much more rapid convergence of the solution only after one iteration, with high efficiency. Comparative analysis was carried out to ensure the authenticity of the results. The effects of the involved parameters on fluid velocity, temperature, skin friction coefficient, and Nusselt number are presented in graphical and tabular forms with comprehensive discussions in this paper.

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. S. U. S. Choi and J. A. Eastman, Enhancing thermal conductivity of fluids with nanoparticles, ASME International Mechanical Engineering Congress and Exposition Proceedings (1995) 99–105.

  2. K. Das, Flow and heat transfer characteristics of nanofluids in a rotating frame, Alexandria Engineering Journal, 53 (2014) 757–766.

    Article  Google Scholar 

  3. G. Sowmya, B. J. Gireesha and B. C. Prasannakumara, Scrutinization of different shaped nanoparticle of molybdenum disulfide suspended nanofluid flow over a radial porous fin, I. J. Numerical Method Heat Fluid Flow, 30(7) (2019) 3685–3699.

    Article  Google Scholar 

  4. H. Berrehal and A. Maougal, Entropy generation analysis for multi-walled carbon nanotube (MWCNT) suspended nanofluid flow over wedge with thermal radiation and convective boundary condition, J. Mech. Sci. Tech., 33(1) (2019) 459–464.

    Article  Google Scholar 

  5. A. Baslem, G. Sowmya, B. J. Gireesha, B. C. Prasannakumara, M. R. Gorji and N. M. Hoang, Analysis of thermal behavior of a porous fin fully wetted with nanofluids: convection and radiation, J. Molecular Liquids, 307 (2020) 112920.

    Article  Google Scholar 

  6. G. B. Jeffery, The two dimensional steady motion of a viscous fluid, Philosophical Magazine, 29 (1915) 455–465.

    MATH  Google Scholar 

  7. G. Hamel, Spiralförmige Bewegungen zäher Flüssigkeiten, Jahresber, Deutsch Math Verein, 25 (1917) 34–60.

    MATH  Google Scholar 

  8. S. S. Motsa, P. Sibanda and G. T. Marewo, On a new analytical method for flow between two inclined walls, Numerical Algorithms, 61(3) (2012) 499–514.

    Article  MathSciNet  Google Scholar 

  9. M. Turkyilmazoglu, Extending the traditional Jeffery-Hamel flow to stretchable convergent/divergent channels, Computers and Fluids, 100 (2014) 196–203.

    Article  MathSciNet  Google Scholar 

  10. M. Hatami, M. Sheikholeslami, M. Hosseini and D. D. Ganji, Analytical investigation of MHD nanofluid flow in non-parallel walls, J. Molecular Liquids, 194 (2014) 251–259.

    Article  Google Scholar 

  11. N. Freidoonimehr and M. M. Rashidi, Dual solutions for MHD Jeffery-Hamel nano-fluid flow in non-parallel walls using predictor homotopy analysis method, J. Applied Fluid Mechanics, 8(4) (2015) 911–919.

    Article  Google Scholar 

  12. M. Asadullah, U. Khan, N. Ahmed and S. T. Mohyud-Din, Analytical and numerical investigation of thermal radiation effects on flow of viscous incompressible fluid with stretchable convergent/divergent channels, J. Molecular Liquids, 224 (2016) 768–775.

    Article  Google Scholar 

  13. A. S. Dogonchi and D. D. Ganji, Investigation of MHD nanofluid flow and heat transfer in a stretching/shrinking convergent/divergent channel considering thermal radiation, J. Molecular Liquids, 220 (2016) 592–603.

    Article  Google Scholar 

  14. U. Khan, N. Ahmed and S. T. Mohyud-Din, Heat transfer effects on carbon nanotubes suspended nanofluid flow in a channel with non-parallel walls under the effect of velocity slip boundary condition: a numerical study, Neural Computing and Applications, 28(1) (2017) 37–46.

    Article  Google Scholar 

  15. V. Marinca and N. Herisanu, The optimal homotpy asymptotic method, Engineering Applications; Springer: Cham, Switzerland (2015).

    MATH  Google Scholar 

  16. H. Berrehal, F. Mabood and O. D. Makinde, Entropy-optimized radiating water/FCNTs nanofluid boundary-layer flow with convective condition, Eur. Phys. J. Plus, 135(7) (2020) 1–21.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Exact Science Faculty, University of Constantine 1, Constantine, 25000, Algeria

    H. Berrehal

  2. Department of P.G. Studies and Research in Mathematics, Kuvempu University, Shankaraghatta, India

    G. Sowmya

Authors
  1. H. Berrehal
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. Sowmya
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to H. Berrehal.

Additional information

Hamza Berrehal is a Ph.D. candidate in Energy Physics and Renewable Energies from Constantine 1 University. His research interests include fluid mechanics, heat transfer, thermodynamics, and applied mathematics.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Berrehal, H., Sowmya, G. Heat transfer analysis of nanofluid flow in a channel with non-parallel walls. J Mech Sci Technol 35, 171–177 (2021). https://doi.org/10.1007/s12206-020-1216-y

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-020-1216-y

Keywords

Search

Navigation