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Taylor-Couette flow in an elliptical enclosure generated by an inner rotating circular cylinder
- Publication Year :
- 2023
-
Abstract
- 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 ($Re = \omega r_i (b-r_i))/\nu$, where $\omega$ = angular velocity [rad/s], $r_i$ = radius of inner cylinder, $b$ = semi-minor axis, and $\nu$ = 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 $Re = 350$.<br />Comment: 35 pages, 33 figures
- Subjects :
- Physics - Fluid Dynamics
Physics - Computational Physics
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2305.01274
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1063/5.0076537