TY  - JOUR
T1  - Relationship between Nusselt and Rayleigh Numbers in Natural Convection
AU  - Lananı, Ahsene
AU  - Benchabı, Rahima
PY  - 2023
DA  - December
DO  - 10.55549/epstem.1412473
JF  - The Eurasia Proceedings of Science Technology Engineering and Mathematics
JO  - EPSTEM
PB  - ISRES Publishing
WT  - DergiPark
SN  - 2602-3199
SP  - 659
EP  - 663
VL  - 26
LA  - en
AB  - 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.
KW  - Correlations
KW  - Convection
KW  - Nusselt (Nu)
KW  - Rayleigh (Ra)
KW  - Statistical model
CR  - 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.
CR  - 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.
CR  - Chang, B. H. (2014). Numerical study of flow and heat transfer in differentially heated enclosures. Thermal Science, 18(2), 451-463.
UR  - https://doi.org/10.55549/epstem.1412473
L1  - https://dergipark.org.tr/en/download/article-file/3630980
ER  -