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Relationship between Nusselt and Rayleigh Numbers in Natural Convection

Year 2023, Volume: 26, 659 - 663, 30.12.2023
https://doi.org/10.55549/epstem.1412473

Abstract

When studying heat transfer in laminar or turbulent flow, the aim is to maximize heat transfer, using for example corrugated channels; nanofluids or hybrid nanofluids, etc.; to determine the factors that influence the thermal and hydraulic performance of the used equipment and to determine the relationships that may exist between heat transfer efficiency and these various variables; hence the study of the relationships between these various factors. The findings can be analyzed by using tables, graphs or correlations. The objective of the current paper is focused on the last approach. In addition, we are attempting to determine the influence of the physical parameter Rayleigh number (Ra) on thermal and hydraulic behavior, using the FLUENT calculation code, on the one hand, and to validate the correlation obtained, based on a statistical model, on the other hand. We have also validated that our findings are in excellent accord with those of prior work involving this statistical method.

References

  • Barakos, G., Mitsoulis, E., & Assimacopoulos, D. (1994). Natural convection flow in a square cavity revisited: laminar and turbulent models with wall functions. International Journal of Numerical Methods in Fluids, 18, 695-719.
  • Chang Yvonne, S. H., Ganesan, T., & Lau, K. K. (2008). Comparison between empirical correlation and computational fluid dynamics Simulation for the pressure gradient of multiphase flow. Proceedings of the World Congress on Engineering (Vol.III), WCE. London, UK.
  • Chang, B. H. (2014). Numerical study of flow and heat transfer in differentially heated enclosures. Thermal Science, 18(2), 451-463.
There are 3 citations in total.

Details

Primary Language English
Subjects Environmental and Sustainable Processes
Journal Section Articles
Authors

Ahsene Lananı

Rahima Benchabı

Early Pub Date December 30, 2023
Publication Date December 30, 2023
Published in Issue Year 2023Volume: 26

Cite

APA Lananı, A., & Benchabı, R. (2023). Relationship between Nusselt and Rayleigh Numbers in Natural Convection. The Eurasia Proceedings of Science Technology Engineering and Mathematics, 26, 659-663. https://doi.org/10.55549/epstem.1412473