Steady viscous flow past a sphere at high Reynolds numbers

1988 ◽  
Vol 190 ◽  
pp. 471-489 ◽  
Author(s):  
Bengt Fornberg

Numerical solutions are presented for steady incompressible flow past a sphere. At high Reynolds numbers (results are presented up to R = 5000), the wake is found to resemble a Hill's spherical vortex.

2008 ◽  
Vol 86 (12) ◽  
pp. 1443-1447
Author(s):  
V Ambethkar

Numerical solutions of a steady, incompressible magneto-hydrodynamic flow past a sphere at high Reynolds numbers are presented by using finite differences in spherical polar coordinates with an applied magnetic field parallel to the main flow. Nonlinear coupled governing equations are solved numerically using finite-difference techniques. The results are presented up to Reynolds’ number R ≤ 10 000 and interaction parameter N = 25. Stability and convergence of the finite-difference technique has been discussed. Contours of stream lines and the vorticity are represented graphically up to high Reynolds number R ≤ 10 000 and N = 25. The values of the minimum stream function and vorticity at the primary vortex for different Reynolds numbers are tabulated and discussed.PACS Nos.: 47.11.Bc, 47.27.Jv, 47.63.mc, 52.65.Kj


2015 ◽  
Author(s):  
Harish Gopalan ◽  
Dominic Denver John Chandar ◽  
Narasimha Rao Pillamarri ◽  
Guan Mengzhao ◽  
Rajeev K. Jaiman ◽  
...  

Investigation of flow past tandem and side-by-side circular and square columns is of interest in offshore engineering. Flow past fixed and vibrating circular columns has received a lot of focus in the literature. However, the studies focused on square columns, especially at high Reynolds numbers are very limited due to the computational cost of large eddy simulation (LES). Unsteady Reynolds-averaged Navier-Stokes (URANS) methods are limited by their accuracy, especially for tandem columns in the wake interference regime (spacing to diameter ratio: L=D ∼ 3:0). Hybrid URANS-LES models (URANS near the solid-wall and LES away from the wall) can overcome the drawbacks of the traditional URANS methods and can provide a reasonable prediction of the flow physics at a fraction of the cost of LES without significantly sacrificing numerical accuracy. Arbitrary Lagrangian-Eulerian (ALE) methods fails when vibrating tandem bodies are in close proximity to each other or vibrate at high reduced velocities. Remeshing the domain can be expensive, especially at high Reynolds numbers (Re). Alternate strategies are necessary to efficiently simulation this problems. This study proposes the use of a non-linear URANS-LES model, coupled with an overset mesh method (for vibrating columns), for studying flow past tandem square columns. Simulations are performed at sub-critical Re to match the experimental Re. The initial results are encouraging for further investigation of fixed and vibrating tandem square column flow interference at high Reynolds numbers.


Sign in / Sign up

Export Citation Format

Share Document