Laminar natural convection of power-law fluid in a differentially heated inclined square cavity

Laminar natural convection of power-law fluid in a differentially heated inclined square cavity

Horimek Abderrahmane  Noureddine Brahim  Benkhchiba Abdelfatah  Ait-Messaoudene Nouereddine 

Laboratoire de Développement en Mécanique et Matériaux (LDM2) Djelfa University, Algeria

Department of Mechanical Engineering, Faculty of Engineering University of Hail, KSA

Corresponding Author Email: 
Horimek_aer@yahoo.fr
Page: 
261-281
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DOI: 
https://doi.org/10.3166/ACSM.41.261-281
Received: 
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Accepted: 
| | Citation

OPEN ACCESS

Abstract: 

The objective of this work is the study the problem of laminar natural convection, for a power-law fluid, in a differentially heated square cavity, to which a clockwise or counterclockwise inclinations are attributed compared to the classical case (ϕ=0°). A finite volume code was used to make the simulations. The study was divided into several parts in order to distinguish the effects of the different widely-varied’ parameters included (Rayleigh number Ran [10+3→10+6], rheological index n [0.6→1.8], inclination angle ϕ [-90°→90°] and Prandtl number Prn [10→10+4]) independently and combined. The obtained results showed the increase of dynamic and thermal fields disturbances for increasing Ran and/or decreasing n especially for a counterclockwise inclination (over a range of variation), with improvement of the heat exchange coefficient, particularly at high Prn. The opposite will occur when Ran decreases and/or n increases and becomes clearer for a clockwise inclination. In addition, an optimal angle for a counterclockwise inclination is recorded (highest mean heat transfer coefficient). This angle is influenced by Ran increase and n decrease. Recommended ranges of inclination angles leading to highest heat transfer rate are finally given depending on problem parameters. The industrial exploitation of the recommended ranges, undoubtedly allows benefits of efficiency and/or economy

Keywords: 

natural convection, square cavity, inclination angle, power-law fluid, prandtl number

1. Introduction
2. Problem description
3. Resolution procedure
4. Results and discussion
5. Conclusions
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