Flow produced in a conical container by a rotating endwall

Numerical calculations have been carried out for flow in a truncated cone generated by rotation of one endwall. For both convergent (radius increasing with approach to the rotating endwall) and divergent geometries, vortex breakdown is suppressed beyond a certain angle of inclination of the sidewall. At the same time Moffat eddies of increasing strength and extent appear in the corner between the sidewall and the non-rotating endwall. For the divergent geometry, a zone of recirculation appears on the sidewall and eventually merges with the Moffat eddies. The flow phenomena identified from streamline patterns are consistent with the calculated variation of pressure around the periphery of the computational domain.

[1]  On the Creation of Stagnation Points in a Rotating Flow , 1998 .

[2]  Oskar Hall,et al.  Slow Flow Between Concentric Cones , 2007 .

[3]  An experimental study on vortex breakdown in a differentially-rotating cylindrical container , 2004 .

[4]  H. Lugt,et al.  Axisymmetric Vortex Breakdown in Rotating Fluid Within a Container , 1982 .

[5]  Numerical study of axisymmetric vortex breakdown in an annulus , 1996 .

[6]  Jens Nørkær Sørensen,et al.  Streamline topology of steady axisymmetric vortex breakdown in a cylinder with co- and counter-rotating end-covers , 1999 .

[7]  Joao M.M. Sousa,et al.  Confined vortex breakdown generated by a rotating cone , 1999, Journal of Fluid Mechanics.

[8]  Zhanfeng Cui,et al.  CFD modelling of slug flow in vertical tubes , 2006 .

[9]  M. P. Escudier,et al.  Observations of the flow produced in a cylindrical container by a rotating endwall , 1984 .

[10]  S. Green,et al.  Numerical simulation of the flow around rows of cylinders , 2006 .

[11]  H. Peerhossaini,et al.  A Numerical Study of Dean Instability in Non-Newtonian Fluids , 2006 .

[12]  H. K. Moffatt Viscous and resistive eddies near a sharp corner , 1964, Journal of Fluid Mechanics.

[13]  Juan Lopez,et al.  Axisymmetric vortex breakdown Part 1. Confined swirling flow , 1990, Journal of Fluid Mechanics.

[14]  J. P. V. Doormaal,et al.  ENHANCEMENTS OF THE SIMPLE METHOD FOR PREDICTING INCOMPRESSIBLE FLUID FLOWS , 1984 .

[15]  Axisymmetric vortex breakdown in a filled cylinder , 1998 .

[16]  Ismail Celik,et al.  Assessment of numerical uncertainty for the calculations of turbulent flow over a backward‐facing step , 2005 .

[17]  M. Sahin,et al.  A novel fully implicit finite volume method applied to the lid‐driven cavity problem—Part I: High Reynolds number flow calculations , 2003 .

[18]  Andreas Spohn,et al.  Experiments on vortex breakdown in a confined flow generated by a rotating disc , 1998, Journal of Fluid Mechanics.

[19]  Simon Tavener,et al.  On the creation of stagnation points near straight and sloped walls , 2000 .

[20]  Joel H. Ferziger,et al.  Computational methods for fluid dynamics , 1996 .

[21]  Jie Zhang,et al.  Studies on strongly swirling flows in the full space of a volute cyclone separator , 2005 .