1. Lid Driven Triangular and Trapezoidal Cavity Flow: Vortical Structures for Steady Solutions and Hopf Bifurcations
- Author
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Bo An, Shipeng Guo, Josep M. Bergadà, and Universitat Politècnica de Catalunya. Departament de Mecànica de Fluids
- Subjects
Fluid Flow and Transfer Processes ,Vorticitat ,Bifurcació, Teoria de la ,Vortical structures ,Process Chemistry and Technology ,Lattice Boltzmann method ,General Engineering ,Dinàmica de fluids computacional ,Computational fluid dynamics ,Vortex-motion ,lid-driven trapezoidal and triangular cavities ,steady solutions ,lattice Boltzmann method ,vortical structures ,Hopf bifurcation ,Steady solutions ,Computer Science Applications ,Fluid dynamics ,Dinàmica de fluids ,Bifurcation theory ,General Materials Science ,Lid-driven trapezoidal and triangular cavities ,Instrumentation ,Enginyeria mecànica::Mecànica de fluids [Àrees temàtiques de la UPC] - Abstract
A numerical study of two dimensional lid-driven triangular and trapezoidal cavity flow is performed via using the lattice Boltzmann method (LBM) for steady solutions. The equilateral and right-angled isosceles triangular cavity flow at Reynolds numbers, respectively, 500 and 100 is employed as the benchmark case for code validation. The isosceles right-angled triangular cavity flow is studied for Reynolds numbers sweeping from 100 to 8100. Flow topologies are captured and analyzed. The critical Reynolds number of Hopf bifurcation is predicted by calculating the perturbation decay rate. Two different geometries of right-angled isosceles trapezoidal cavities, bowl-shaped and pyramid-shaped trapezoids, are studied at Reynolds numbers 1000 and 7000. For each type of the trapezoidal cavity, a geometric parameter l (top-line/base-line ratio) is presented to distinguish different geometries of trapezoidal cavities. The flow patterns regarding the streamlines, vortical structures, and velocity profiles are discussed. The impact of parameter l on the fluid characteristics are investigated This work was sponsored by the foundation of National Key Laboratory of Science and Technology on Aerodynamic Design and Research (No. 614220121030101) and Key Laboratory of Icing and Anti/De-icing of CARDC (Grant No. IADL20210302)
- Published
- 2023
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