Transition to chaotic flow, bifurcation, and entropy generation analysis inside a stratified trapezoidal enclosure for varying aspect ratio
Year: 2024
Type: article
Abstract: In this numerical study, we investigate the effect of aspect ratio ( AR ) on the natural convection (NC) flow and entropy generation ( S gen ) in a stratified fluid confined inside a trapezoidal enclosure with thermally stratified side walls. The bottom of the enclosure is heated, and top of the enclosure is cooled. We use the Finite Volume Method (FVM) for simulating unsteady flows. We consider a Prandtl number (Pr = 0.71 for air) and explore AR of 0.2, 0.5, and 1.0, covering a wide range of Grashof numbers (Gr) from 10 to 10 8 . The outcomes are presented for Grashof numbers and the effect of the AR on fluid flow, rates of heat transfer (HT), and S gen inside the enclosure. Critical Grashof numbers are identified, marking the shift in flow behavior from being influenced by baroclinic to Rayleigh–Bénard instability, and from a steady to an unsteady state for various AR . In the context of this transition to chaotic flow, several supercritical bifurcations are observed, including a Pitchfork bifurcation from symmetric to asymmetric states and a Hopf bifurcation from a steady state to an unsteady state. Additionally, we analyze the discrepancies in average entropy generation ( S avg ) and average Bejan number ( Be avg ) across the entire enclosure, considering various AR and Gr values. It is observed that for enclosures with Gr ≥ 10 5 , S avg increases as AR decreases, indicating an enhancement in HT rate with decreasing AR . Furthermore, a quantitative relationship between S avg , HT, AR , and Gr is presented. The study concludes that, as AR increases, the ecological coefficient of performance ( ECOP ) decreases, signifying a reduction in thermodynamics efficiency.
Source: Chinese Journal of Physics
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,000
OpenAlex ID: W4401871489