Large eddy simulations of turbulent circular wall jets

Abstract Turbulent circular wall jets have been extensively investigated both experimentally and numerically in the past decades. Most of the previous studies focus on the kinematic characteristics of the jet flows, while the mixing characteristics including the scalar transport have not been well examined. The current study performs a comprehensive investigation of the turbulent circular wall jet including both the flow and mixing characteristics using the large eddy simulations (LES) approach with proper near-wall modelling. The LES results are compared to the existing experimental measurements, as well as numerical results from two other Reynolds-averaged Navier–Stokes (RANS) models: the standard k -e and standard k – ω models, with enhanced wall functions. The comparison focuses on the velocity and scalar distributions, rates of velocity and scalar decay, variations of characteristic length scales, and turbulence intensities in different directions. Overall, the study shows that LES coupling with proper near-wall modelling can simulate both the kinematic and mixing characteristics of the turbulent wall jet in a satisfactory manner, and the accuracy is superior to the RANS models with enhanced wall functions for this three-dimensional wall-bounded shear flow. The advantages can be attributed directly to the better simulations of the anisotropic jet spreading near the wall.

[1]  Pasquale M. Sforza,et al.  A STUDY OF THREE-DIMENSIONAL, INCOMPRESSIBLE TURBULENT WALL JETS , 1970 .

[2]  A. Law,et al.  Measurements of turbulent mass transport of a circular wall jet , 2002 .

[3]  U. Ghia,et al.  Procedure for Estimation and Reporting of Uncertainty Due to Discretization in CFD Applications , 2007 .

[4]  T. A. Zang,et al.  Toward the large-eddy simulation of compressible turbulent flows , 1990, Journal of Fluid Mechanics.

[5]  Z. Qian,et al.  Numerical Simulation of Horizontal Buoyant Wall Jet , 2010 .

[6]  A. Findikakis,et al.  Marine tailings disposal simulation , 1998 .

[7]  N. Rajaratnam,et al.  Three-Dimensional Turbulent Wall Jets , 1974 .

[8]  G. Padmanabham,et al.  Mean and Turbulence Characteristics of a Class of Three-Dimensional Wall Jets—Part 1: Mean Flow Characteristics , 1991 .

[9]  I. Celik,et al.  Random Flow Generation Technique for Large Eddy Simulations and Particle-Dynamics Modeling , 2001 .

[10]  Tim Craft,et al.  On the spreading mechanism of the three-dimensional turbulent wall jet , 2001, Journal of Fluid Mechanics.

[11]  J. Smagorinsky,et al.  GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS , 1963 .

[12]  John Kim,et al.  On the structure of pressure fluctuations in simulated turbulent channel flow , 1989, Journal of Fluid Mechanics.

[13]  B. Launder,et al.  Lectures in mathematical models of turbulence , 1972 .

[14]  Frank Thiele,et al.  Prediction of the spreading mechanism of 3D turbulent wall jets with explicit Reynolds–stress closures , 2003 .

[15]  R. So,et al.  Modeling Reynolds-Number Effects in Wall-Bounded Turbulent Flows , 1996 .

[16]  J. Spurk.  Boundary Layer Theory , 2019, Fluid Mechanics.

[17]  Johan Persson,et al.  An experimental study of a two-dimensional plane turbulent wall jet , 1998 .

[18]  Adrian Wing-Keung Law,et al.  An Experimental Study on Turbulent Circular Wall Jets , 2002 .

[19]  U. Piomelli,et al.  Wall-layer models for large-eddy simulations , 2008 .

[20]  Suresh Menon,et al.  Application of the localized dynamic subgrid-scale model to turbulent wall-bounded flows , 1997 .

[21]  Wolfgang Rodi,et al.  The Turbulent Wall Jet Measurements and Modeling , 1983 .

[22]  R. Kraichnan.  Diffusion by a Random Velocity Field , 1970 .

[23]  Large eddy simulation of flow structure in the near region of a circular wall jet , 2012 .

[24]  Chia-Ch'iao Lin.  Β. Turbulent Flow , 1960 .

[25]  A Verhoff,et al.  THE TWO-DIMENSIONAL, TURBULENT WALL JET WITH AND WITHOUT AN EXTERNAL FREE STREAM , 1963 .

[26]  R. So,et al.  Near-Wall Modeling of Plane Turbulent Wall Jets , 1997 .

[27]  J. S. Turner,et al.  QUANTIFICATION OF UNCERTAINTY IN COMPUTATIONAL FLUID DYNAMICS , 2006 .

[28]  Michael A. Leschziner,et al.  Large eddy simulation of a plane turbulent wall jet , 2005 .

[29]  D. Wilcox.  Turbulence modeling for CFD , 1993 .