Numerical investigation of heat transfer enhancement in a backward-facing step channel using jet injection and Al₂O₃/CMC nanofluids

Authors

https://doi.org/10.48314/nna.vi.65

Abstract

This study numerically investigates heat transfer enhancement in a Backward-Facing Step (BFS) channel subjected to jet injection using a non-Newtonian Aluminum Oxide/Carboxymethyl Cellulose (Al₂O₃/CMC) nanofluid. The flow is assumed to be steady, laminar, incompressible, and two-dimensional. The rheological behavior of the CMC solution is modeled using the power-law model, while the governing equations of mass, momentum, and energy are solved using the Finite Volume Method (FVM). The effects of Reynolds number, jet injection angle, jet momentum ratio, nanoparticle volume fraction, and fluid rheology on flow structure and thermal performance are systematically analyzed. The numerical model is first validated against previously published experimental and numerical data, showing good agreement. The results indicate that increasing the Reynolds number significantly enhances convective heat transfer due to stronger recirculation and thinner thermal boundary layers. The use of a non-Newtonian CMC solution improves thermal performance compared with Newtonian water, while the addition of Al₂O₃ nanoparticles further increases the heat transfer rate because of enhanced effective thermal conductivity. The jet injection parameters strongly affect the flow field and thermal characteristics. Appropriate jet injection angles and momentum ratios intensify fluid mixing near the heated wall and lead to substantial heat transfer enhancement. The thermal-hydraulic Performance Evaluation Criterion (PEC) demonstrates that the combined use of jet injection and Al₂O₃/CMC nanofluids can provide superior overall performance compared with conventional cooling configurations. The findings confirm the potential of jet-assisted non-Newtonian nanofluids for improving thermal management in BFS channels and similar engineering systems.           

Keywords:

Carboxymethyl cellulose, Nanofluid, Jet injection, Reynolds number, Heat transfer enhancement, Nusselt number

References

  1. [1] Bayareh, M. (2023). An overview of non-Newtonian nanofluid flow in macro-and micro-channels using two-phase schemes. Engineering Analysis with Boundary Elements, 148, 165–175. https://doi.org/10.1016/j.enganabound.2022.12.033

  2. [2] Akbari, O. A., Toghraie, D., Karimipour, A., Marzban, A., & Ahmadi, G. R. (2017). The effect of velocity and dimension of solid nanoparticles on heat transfer in non-Newtonian nanofluid. Physica E: Low-Dimensional Systems and Nanostructures, 86, 68–75. https://doi.org/10.1016/j.physe.2016.10.013

  3. [3] Rahmati, A. R., Akbari, O. A., Marzban, A., Toghraie, D., Karimi, R., & Pourfattah, F. (2018). Simultaneous investigations the effects of non-Newtonian nanofluid flow in different volume fractions of solid nanoparticles with slip and no-slip boundary conditions. Thermal Science and Engineering Progress, 5, 263–277. https://doi.org/10.1016/j.tsep.2017.12.006

  4. [4] Shahsavani, E., Afrand, M., & Kalbasi, R. (2018). Using experimental data to estimate the heat transfer and pressure drop of non-Newtonian nanofluid flow through a circular tube: Applicable for use in heat exchangers. Applied Thermal Engineering, 129, 1573–1581. https://doi.org/10.1016/j.applthermaleng.2017.10.140

  5. [5] Bahiraei, M., & Alighardashi, M. (2016). Investigating non-Newtonian nanofluid flow in a narrow annulus based on second law of thermodynamics. Journal of Molecular Liquids, 219, 117–127. https://doi.org/10.1016/j.molliq.2016.03.007

  6. [6] Mahian, O., Kolsi, L., Amani, M., Estellé, P., Ahmadi, G., Kleinstreuer, C., ... & Pop, I. (2019). Recent advances in modeling and simulation of nanofluid flows-Part I: Fundamentals and theory. Physics Reports, 790, 1–48. https://doi.org/10.1016/j.physrep.2018.11.004

  7. [7] Maleki, H., Safaei, M. R., Alrashed, A. A. A. A., & Kasaeian, A. (2019). Flow and heat transfer in non-Newtonian nanofluids over porous surfaces. Journal of Thermal Analysis and Calorimetry, 135(3), 1655–1666. https://doi.org/10.1007/s10973-018-7277-9

  8. [8] Sabeur, A. (2026). Machine learning applications in nanofluid research: A comprehensive review of trends, challenges, and future perspectives. In Applied intelligence. IntechOpen. https://doi.org/10.5772/intechopen.1014076

  9. [9] Patankar, S. (2018). Numerical heat transfer and fluid flow. CRC press. https://doi.org/10.1201/9781482234213

  10. [10] Chon, C. H., Kihm, K. D., Lee, S. P., & Choi, S. U. S. (2005). Empirical correlation finding the role of temperature and particle size for nanofluid (Al2O3) thermal conductivity enhancement. Applied physics Letters, 87(15), 153107. https://doi.org/10.1063/1.2093936

  11. [11] Shyam, R., & Chhabra, R. P. (2013). Effect of Prandtl number on heat transfer from tandem square cylinders immersed in power-law fluids in the low Reynolds number regime. International Journal of Heat and Mass Transfer, 57(2), 742–755. https://doi.org/10.1016/j.ijheatmasstransfer.2012.11.001

  12. [12] Mosavi, A., Hekmatifar, M., Alizadeh, A. ad, Toghraie, D., Sabetvand, R., & Karimipour, A. (2020). RETRACTED: The molecular dynamics simulation of thermal manner of Ar/Cu nanofluid flow: The effects of spherical barriers size. Journal of Molecular Liquids, 319, 114183. https://doi.org/10.1016/j.molliq.2020.114183

  13. [13] Matsson, J. E. (2022). An introduction to ANSYS fluent 2022. Sdc Publications. https://www.sdcpublications.com/Textbooks/Introduction-ANSYS-Fluent-2022/ISBN/978-1-63057-569-4/

  14. [14] Santra, A. K., Sen, S., & Chakraborty, N. (2009). Study of heat transfer due to laminar flow of copper--water nanofluid through two isothermally heated parallel plates. International Journal of Thermal Sciences, 48(2), 391–400. https://doi.org/10.1016/j.ijthermalsci.2008.10.004

  15. [15] Armaly, B. F., Durst, F., Pereira, J. C. F., & Schönung, B. (1983).. Journal of Fluid Mechanics, 127, 473–496. https://doi.org/10.1017/S0022112083002839

  16. [16] Sheikholeslami, M., Hatami, M., & Ganji, D. D. (2014). Nanofluid flow and heat transfer in a rotating system in the presence of a magnetic field. Journal of Molecular Liquids, 190, 112–120. https://doi.org/10.1016/j.molliq.2013.11.002

  17. [17] Menni, Y., Chamkha, A. J., & Azzi, A. (2019). Nanofluid flow in complex geometries—a review. Journal of Nanofluids, 8(5), 893–916. https://doi.org/10.1166/jon.2019.1663

  18. [18] Mahian, O., Kianifar, A., Kleinstreuer, C., Al-Nimr, M. A., Pop, I., Sahin, A. Z., & Wongwises, S. (2013). A review of entropy generation in nanofluid flow. International Journal of Heat and Mass Transfer, 65, 514–532. https://doi.org/10.1016/j.ijheatmasstransfer.2013.06.010

  19. [19] Sarfraz, M., Khan, M., Al-Zubaidi, A., & Saleem, S. (2023). Insights into the thermodynamic efficiency of Homann-Agrawal hybrid nanofluid flow. Alexandria Engineering Journal, 82, 178–185. https://doi.org/10.1016/j.aej.2023.09.074

  20. [20] Sheikholeslami, M., & Vajravelu, K. (2017). Nanofluid flow and heat transfer in a cavity with variable magnetic field. Applied Mathematics and Computation, 298, 272–282. https://doi.org/10.1016/j.amc.2016.11.025

  21. [21] Sheikholeslami, M., Bandpy, M. G., Ellahi, R., Hassan, M., & Soleimani, S. (2014). Effects of MHD on Cu--water nanofluid flow and heat transfer by means of CVFEM. Journal of Magnetism and Magnetic Materials, 349, 188–200. https://doi.org/10.1016/j.jmmm.2013.08.040

Published

2026-06-15

How to Cite

Bozorgimanesh, A. . (2026). Numerical investigation of heat transfer enhancement in a backward-facing step channel using jet injection and Al₂O₃/CMC nanofluids. Nano Nexus & Applications, 1(2), 127-143. https://doi.org/10.48314/nna.vi.65