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

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. © 2017 Lavoisier.