Fluid Dynamics and Passive Scalar Transport Driven by Non-Uniform Tumbling of a Prolate Spheroid in Simple Shear Flow
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909845228093440 |
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| author | Wang, Yanxing Wan, Hui Wei, Tie Shu, Fangjun |
| author_facet | Wang, Yanxing Wan, Hui Wei, Tie Shu, Fangjun |
| contents | Using high-fidelity numerical simulations based on a lattice Boltzmann framework, the advection-enhanced transport of a passive scalar from a prolate spheroid in simple shear flow has been thoroughly investigated across various parameters, including the spheroid's aspect ratio, particle-to-fluid density ratio, Reynolds number, and Schmidt number. The Reynolds number is constrained to the range from 0 to 1, where the prolate spheroid tumbles around its minor axis, aligned with the vorticity axis, in an equilibrium state. Several key findings have emerged: 1) Particle inertia significantly influences the uniformity of the spheroid's tumbling, affecting flow patterns around the spheroid and, consequently, the modes of scalar transport; 2) Both uniform and non-uniform tumbling generate a scalar line in the fluid with elevated scalar concentration, which sweeps through the wake region and merges with clusters of previously formed scalar lines; 3) Fluid passing over the spheroid carries the passive scalar downstream along these scalar lines; 4) Variations in the uniformity of spheroid tumbling result in distinct flow patterns and scalar transport modes, leading to different transport rates; 5) Within the studied parameter ranges, increased particle inertia enhances the scalar transport rate; 6) When both fluid and particle inertia are minimal, the dimensionless scalar transport rate for different aspect ratios converges to a common dependence on the Peclet number. These phenomena are analyzed in detail. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_12152 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fluid Dynamics and Passive Scalar Transport Driven by Non-Uniform Tumbling of a Prolate Spheroid in Simple Shear Flow Wang, Yanxing Wan, Hui Wei, Tie Shu, Fangjun Fluid Dynamics Using high-fidelity numerical simulations based on a lattice Boltzmann framework, the advection-enhanced transport of a passive scalar from a prolate spheroid in simple shear flow has been thoroughly investigated across various parameters, including the spheroid's aspect ratio, particle-to-fluid density ratio, Reynolds number, and Schmidt number. The Reynolds number is constrained to the range from 0 to 1, where the prolate spheroid tumbles around its minor axis, aligned with the vorticity axis, in an equilibrium state. Several key findings have emerged: 1) Particle inertia significantly influences the uniformity of the spheroid's tumbling, affecting flow patterns around the spheroid and, consequently, the modes of scalar transport; 2) Both uniform and non-uniform tumbling generate a scalar line in the fluid with elevated scalar concentration, which sweeps through the wake region and merges with clusters of previously formed scalar lines; 3) Fluid passing over the spheroid carries the passive scalar downstream along these scalar lines; 4) Variations in the uniformity of spheroid tumbling result in distinct flow patterns and scalar transport modes, leading to different transport rates; 5) Within the studied parameter ranges, increased particle inertia enhances the scalar transport rate; 6) When both fluid and particle inertia are minimal, the dimensionless scalar transport rate for different aspect ratios converges to a common dependence on the Peclet number. These phenomena are analyzed in detail. |
| title | Fluid Dynamics and Passive Scalar Transport Driven by Non-Uniform Tumbling of a Prolate Spheroid in Simple Shear Flow |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2410.12152 |