Physics of coriolis-energy force in bifurcation and flow transition through a tightly twisted square tube

Publisher:
Elsevier
Publication Type:
Journal Article
Citation:
Chinese Journal of Physics, 2022, 77, pp. 1305-1330
Issue Date:
2022-06-01
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Monitoring the flow characteristics through a twisted tube is an important topic because of its vast applications in several engineering sectors. As a result, highly motivated researchers have focused their efforts on discovering novel properties of fluid flow in a curved tube. A wide range of computational and selective experiments have been conducted to investigate flow characteristics in the square tube. However, a thorough study of the impacts of Coriolis-Energy force is less addressed in literature yet. The goal of this research is to precisely understand the transitional flow pattern and heat transfer in curved square domain. For this, we propose a numerical model for the laminar flow characterization through a twisted square tube. The current study examines the development of Dean vortices, which affect heat generation and thermal flow enhancement under various flow controlling parameters. The flow is driven by a constant pressure gradient parameter, the Dean number (Dn = 1000) over a considerable range of the Taylor number (−2500 ≤ Tr ≤ 2500), while the remaining parameters such as the Grashof number (Gr = 100) and the curvature (δ = 0.02) are kept constant. First, a bifurcation structure of steady solution curves is investigated and linear stability of the solutions is then examined. Time-dependent solution shows several flow instabilities including steady-state, periodic, multi-periodic, and chaotic oscillation. Furthermore, the temperature profiles with contours of axial and secondary flow velocities are exposed, which elucidates the impacts of Coriolis-energy force. The outcomes of the investigation demonstrate that the axial flow is pushed at the tube's inner sidewall for the positive rotation and behaves reversely for the negative rotation. The comprehensive analysis demonstrates that temperature-influenced buoyancy compulsion and centrifugal-Coriolis instability dominate the flow behavior affecting the fluid's characteristic and optimizing heat transmission. The implication of the current study will help researchers to better comprehend the fluid flow and heat transfer in internal heating/cooling/gas turbines, electric generators, biological systems, and some nano-filtration processes.
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