A comparison of three turbulence models for the prediction of parallel lobed jets in perforated panel optimization

Abstract The general context of the present study is the design of high induction HVAC air diffusers by means of passive jet control. When the diffuser is a perforated panel with lobed orifices ( Meslem et al. 2010 ), the optimization of jet induction consists in improving the orifice’s geometry, the spacing between orifices and their arrangement on the panel. In this study, the flow field of a turbulent twin cross-shaped jet is investigated numerically using the standard k-e model, the Shear Stress Transport (SST) k-ω model and the Reynolds Stress Model (RSM). The results are compared with PIV measurements. The objective is to assess their capability and limitations to predict the significant features of twin jet flow when the flow is numerically resolved through a lobed diffuser. It is shown that the k-e and RSM models are more appropriate for predicting potential jet core length, the change in jet centreline streamwise velocity, and flow expansion in the symmetry plane of the twin jet flow. However, these models overestimate the overall flow expansion and the jet volumetric flow rate. The SST k-ω model seems more appropriate for the prediction of such dynamic integral quantities. A high level of turbulent kinetic energy predicted by the k-e and RSM models in the near field of jets is probably the reason for this overestimation of jet induction. The SST k-ω model would appear to be the most appropriate tool for optimizing orifice design, orifice to orifice spacing and relative orifice orientation on a perforated panel diffuser.

[1]  Z. C. Liu,et al.  Distortion compensation for generalized stereoscopic particle image velocimetry , 1997 .

[2]  Numerical investigation of turbulent free jet flows issuing from rectangular nozzles: the influence of small aspect ratio , 2010 .

[3]  Marcelo H. García,et al.  Confidence intervals in the determination of turbulence parameters , 2006 .

[4]  Julio Soria,et al.  Accuracy of out-of-plane vorticity measurements derived from in-plane velocity field data , 1998 .

[5]  R. Adrian,et al.  Effect of resolution on the speed and accuracy of particle image velocimetry interrogation , 1992 .

[6]  N.W.M. Ko,et al.  Flow structures in initial region of two interacting parallel plane jets , 1989 .

[7]  R. J. Goldstein,et al.  Fluid Mechanics Measurements , 1983 .

[8]  Deryl O. Snyder,et al.  Periodic Flow Between Low Aspect Ratio Parallel Jets , 2003 .

[9]  Ilinca Nastase,et al.  Lobed grilles for high mixing ventilation An experimental analysis in a full scale model room , 2011 .

[10]  Eiichi Tanaka,et al.  The Interference of Two-Dimensional Parallel Jets : 2nd Report, Experiments on the Combined Flow of Dual Jet , 1974 .

[11]  A. Hussain,et al.  Upstream influence on the near field of a plane turbulent jet , 1977 .

[12]  Shigetaka Fujita,et al.  Turbulent Properties Of Twin Circular Free Jets With Various Nozzle Spacing , 2005 .

[13]  B. Launder,et al.  Progress in the development of a Reynolds-stress turbulence closure , 1975, Journal of Fluid Mechanics.

[14]  M. J. Sheu,et al.  Investigation of two plane paralleltiinven ilated jets , 1990 .

[15]  Khairul Q. Zaman,et al.  Axis switching and spreading of an asymmetric jet: the role of coherent structure dynamics , 1996, Journal of Fluid Mechanics.

[16]  I. Năstase,et al.  Vortex dynamics and mass entrainment in turbulent lobed jets with and without lobe deflection angles , 2010 .

[17]  P. Fanger,et al.  Air turbulence and sensation of draught , 1988 .

[18]  Jianzhong Lin,et al.  Experimental Study on the Flow Field Characteristics in the Mixing Region of Twin Jets , 2007 .

[19]  Joseph C. S. Lai,et al.  Two parallel plane jets: mean flow and effects of acoustic excitation , 1997 .

[20]  I. Năstase,et al.  Primary and secondary vortical structures contribution in the entrainment of low Reynolds number jet flows , 2008 .

[21]  Toshio Kobayashi,et al.  A study on a lobed jet mixing flow by using stereoscopic particle image velocimetry technique , 2001 .

[22]  B. Launder,et al.  Ground effects on pressure fluctuations in the atmospheric boundary layer , 1978, Journal of Fluid Mechanics.

[23]  H. Osaka,et al.  Mixing and Diffusion Processes of Twin Circular Free Jets with Various Nozzle Spacing , 2000 .

[24]  A numerical study of non-isothermal turbulent coaxial jets , 2008 .

[25]  J. K. Foss,et al.  Large- and small-scale vortical motions in a shear layer perturbed by tabs , 1999, Journal of Fluid Mechanics.

[26]  David R. Miller,et al.  Force-momentum fields in a dual-jet flow , 1960, Journal of Fluid Mechanics.

[27]  Madjid Birouk,et al.  Free jet issuing from a pipe with a triangular collar: A numerical simulation , 2010 .

[28]  C. Willert,et al.  Digital particle image velocimetry , 1991 .

[29]  Prediction of the flow structure in a turbulent rectangular free jet , 2006 .

[30]  M. Birouk,et al.  Three‐dimensional numerical simulation of an equilateral triangular turbulent free jet , 2009 .

[31]  Z. Hong,et al.  Kinetic theory approach to twin plane jets turbulent mixing analysis , 1988 .

[32]  R. Spall,et al.  Experimental and numerical investigation of two-dimensional parallel jets , 2001 .

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

[34]  Amina Meslem,et al.  Experimental investigation of the flow in the near-field of a cross-shaped orifice jet , 2011 .

[35]  G. Page,et al.  Prediction of Lobed Mixer Vortical Structures with a k-≤ Turbulence Model , 2003 .

[36]  Nathan E. Bunderson,et al.  Passive mixing control of plane parallel jets , 2005 .

[37]  Eiichi Tanaka,et al.  The Interference of Two-Dimensional Parallel Jets : 1st Report, Experiments on Dual Jet , 1969 .

[38]  Ilinca Nastase,et al.  Passive mixing control for innovative air diffusion terminal devices for buildings , 2010 .

[39]  Ilinca Nastase,et al.  Analysis of jet entrainment mechanism in the transitional regime by time-resolved PIV , 2011, J. Vis..