Numerical predictions of flow field in closed and o pened Taylor-Couette cavities

The accurate prediction of fluid flow within rotati ng systems has a primary role for the reliability a nd performance of gas turbine engine. The selection of a suitable model to account for the effects of turbulence on such complex flows remains an open issue in the literature. This paper reports a numerical benchmark of RANS, DES and LES approaches available within the commercial CFD solvers Star CCM+ and CFX together with results obtained by means of in-house developed or opensource available research codes exploiting an innov ative Reynolds Stress Model closure, a direct numerical simulation and additional RANS and LES models. The predictions are compared to experimental data available in the literature for t wo test cases. Test case 1 corresponds to a closed Taylor-Couette cavity with endcap rings, considered experimentally by Burin et al. [1]. Test case 2 corresponds to a Taylor-Couette system with an axia l Poiseuille flow studied experimentally by Escudier and Gouldson [2]. The results are compared and discussed in details for both the mean and turbulent fields. Most of the approaches predict qu ite well the trends apart from the SST models, which provide relatively poor agreement with the ex periments. Even though no approach appears to be fully satisfactory, the innovative RSM closure offe rs the best overall agreement in both closed and opened Taylor-Couette cavities.

[1]  Laurent Elena,et al.  Turbulence modeling of rotating confined flows , 1996 .

[2]  Hrvoje Jasak,et al.  A tensorial approach to computational continuum mechanics using object-oriented techniques , 1998 .

[3]  F. Beaubert,et al.  Large eddy simulations of plane turbulent impinging jets at moderate Reynolds numbers , 2003 .

[4]  F. Wendt,et al.  Turbulente Strömungen zwischen zwei rotierenden konaxialen Zylindern , 1933 .

[5]  Stéphane Abide,et al.  A 2D compact fourth-order projection decomposition method , 2005 .

[6]  I. Akkerman,et al.  Large eddy simulation of turbulent Taylor-Couette flow using isogeometric analysis and the residual-based variational multiscale method , 2010, J. Comput. Phys..

[7]  Florian R. Menter,et al.  A Scale-Adaptive Simulation Model using Two-Equation Models , 2005 .

[8]  Suresh Menon,et al.  Effect of subgrid models on the computed interscale energy transfer in isotropic turbulence , 1994 .

[9]  Sébastien Poncet,et al.  Numerical modeling of fluid flow and heat transfer in a narrow Taylor-Couette-Poiseuille system , 2011 .

[10]  M. P. Escudier,et al.  Flow of shear-thinning fluids in a concentric annulus , 1995 .

[11]  Patrick Bontoux,et al.  High-order Large Eddy Simulations of Confined Rotor-Stator Flows , 2012, 1305.2885.

[12]  J. M. Owen,et al.  Flow and heat transfer in rotating-disc systems , 1994 .

[13]  F. Menter Two-equation eddy-viscosity turbulence models for engineering applications , 1994 .

[14]  Hantao Ji,et al.  Local measurements of turbulent angular momentum transport in circular Couette flow , 2010 .

[15]  Brian Launder,et al.  Application of a new second-moment closure to turbulent channel flow rotating in orthogonal mode , 1994 .

[16]  A. Townsend,et al.  Turbulent Couette flow between concentric cylinders at large Taylor numbers , 1982, Journal of Fluid Mechanics.

[17]  Jamshid M. Nouri,et al.  Flow of Newtonian and non-Newtonian fluids in an eccentric annulus with rotation of the inner cylinder , 1994 .

[18]  M. Biage,et al.  Visualization Study and Quantitative Velocity Measurements in Turbulent Taylor-Couette Flow by Phantomm Flow Tagging: a Description of the Transition to Turbulence , 2003 .

[19]  Petri Sallinen,et al.  Numerical and experimental modelling of gas flow and heat transfer in the air gap of an electric machine , 2004 .

[20]  Hyung Jin Sung,et al.  Large-eddy simulation of turbulent flow in a concentric annulus with rotation of an inner cylinder , 2005 .

[21]  Jamshid M. Nouri,et al.  Flow of Newtonian and Non-Newtonian Fluids in a Concentric Annulus With Rotation of the Inner Cylinder , 1994 .

[22]  M. P. Escudier,et al.  Concentric annular flow with centerbody rotation of a Newtonian and a shear-thinning liquid , 1995 .

[23]  Suchuan Dong,et al.  Turbulent flow between counter-rotating concentric cylinders: a direct numerical simulation study , 2008, Journal of Fluid Mechanics.

[24]  Tong,et al.  Anisotropy in turbulent drag reduction. , 1990, Physical review letters.