Taylor-Couette flow in an elliptical enclosure generated by an inner rotating circular cylinder
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2023
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866929390513815552 |
|---|---|
| author | Unnikrishnan, Akash Vanka, Surya Pratap Narayanan, Vinod |
| author_facet | Unnikrishnan, Akash Vanka, Surya Pratap Narayanan, Vinod |
| contents | Taylor-Couette flow between rotating cylinders is a classical problem in fluid mechanics and has been extensively studied in the case of two concentric circular cylinders. There have been relatively small number of studies in complex-shaped cylinders with one or both cylinders rotating. In this paper, we study the characteristics of Taylor cells in an elliptical outer cylinder with a rotating concentric inner circular cylinder. We numerically solve the three-dimensional unsteady Navier-Stokes equations assuming periodicity in the axial direction. We use a Fourier-spectral meshless discretization by interpolating variables at scattered points using polyharmonic splines and appended polynomials. A pressure-projection algorithm is used to advance the flow equations in time. Results are presented for an ellipse of aspect ratio two and for several flow Reynolds numbers ($Re = ωr_i (b-r_i))/ν$, where $ω$ = angular velocity [rad/s], $r_i$ = radius of inner cylinder, $b$ = semi-minor axis, and $ν$ = kinematic viscosity) from subcritical to 300. Streamlines, contours of axial velocity, pressure, vorticity, and temperature are presented along with surfaces of Q criterion. The flow is observed to be steady until $Re = 300$ and unsteady at $Re = 350$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_01274 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Taylor-Couette flow in an elliptical enclosure generated by an inner rotating circular cylinder Unnikrishnan, Akash Vanka, Surya Pratap Narayanan, Vinod Fluid Dynamics Computational Physics Taylor-Couette flow between rotating cylinders is a classical problem in fluid mechanics and has been extensively studied in the case of two concentric circular cylinders. There have been relatively small number of studies in complex-shaped cylinders with one or both cylinders rotating. In this paper, we study the characteristics of Taylor cells in an elliptical outer cylinder with a rotating concentric inner circular cylinder. We numerically solve the three-dimensional unsteady Navier-Stokes equations assuming periodicity in the axial direction. We use a Fourier-spectral meshless discretization by interpolating variables at scattered points using polyharmonic splines and appended polynomials. A pressure-projection algorithm is used to advance the flow equations in time. Results are presented for an ellipse of aspect ratio two and for several flow Reynolds numbers ($Re = ωr_i (b-r_i))/ν$, where $ω$ = angular velocity [rad/s], $r_i$ = radius of inner cylinder, $b$ = semi-minor axis, and $ν$ = kinematic viscosity) from subcritical to 300. Streamlines, contours of axial velocity, pressure, vorticity, and temperature are presented along with surfaces of Q criterion. The flow is observed to be steady until $Re = 300$ and unsteady at $Re = 350$. |
| title | Taylor-Couette flow in an elliptical enclosure generated by an inner rotating circular cylinder |
| topic | Fluid Dynamics Computational Physics |
| url | https://arxiv.org/abs/2305.01274 |