Large-eddy simulation of accelerated turbulent flow in a circular pipe

Turbulent pipe flows subject to temporal acceleration have been considered in this study. Large-eddy simulations (LESs) of accelerated turbulent flow in a circular pipe were performed to study the response of the turbulent flow to temporal acceleration. The simulations were started with the fully-developed turbulent pipe flow at an initial Re number, and then a constant temporal acceleration was applied. During the acceleration, the Reynolds number of the pipe flow, based on the pipe diameter and the bulk-mean velocity, increased linearly from ReD = 7000 to 36,000. A dimensionless response time for various flow quantities was introduced to measure the delays in the response of the near-wall turbulence to temporal acceleration. The results reveal distinctive features of the delays responsible for turbulence production, energy redistribution, and radial propagation. The conditionally-averaged flow fields associated with Reynolds shear stress producing events were analysed. In the transient flows, sweeps and ejections were closely linked to the delays of turbulence production and of turbulence propagation away from the wall. It is found that strong sweep events were related to the delayed turbulence production in the near-wall region, while ejection events were associated with the propagation of the turbulence away from the wall. The results show that the anisotropy of the turbulence was enhanced during the transient, and this would be a challenging problem to standard turbulence models.

[1]  Parviz Moin,et al.  An Efficient Method for Temporal Integration of the Navier-Stokes Equations in Confined Axisymmetric Geometries , 1996 .

[2]  Yongmann M. Chung Unsteady turbulent flow with sudden pressure gradient changes , 2005 .

[3]  E. A. Moss,et al.  Rapid temporal acceleration of a turbulent pipe flow , 2004, Journal of Fluid Mechanics.

[4]  Toshiro Maruyama,et al.  THE STRUCTURE OF THE TURBULENCE IN TRANSIENT PIPE FLOWS , 1976 .

[5]  W. Willmarth,et al.  Structure of the Reynolds stress near the wall , 1972, Journal of Fluid Mechanics.

[6]  LARGE-EDDY SIMULATION OF ACCELERATED TURBULENT FLOW IN A PIPE , 2009 .

[7]  Turbulence models in pulsating flows , 2001 .

[8]  H. Sung,et al.  An implicit velocity decoupling procedure for the incompressible Navier–Stokes equations , 2002 .

[9]  Toshiro Maruyama,et al.  PULSATING TURBULENT FLOW IN A TUBE , 1974 .

[10]  Eliezer Kit,et al.  Pulsating flow in a pipe , 1985, Journal of Fluid Mechanics.

[11]  Shuisheng He,et al.  A study of turbulence under conditions of transient flow in a pipe , 2000, Journal of Fluid Mechanics.

[12]  R. Verzicco,et al.  A Finite-Difference Scheme for Three-Dimensional Incompressible Flows in Cylindrical Coordinates , 1996 .

[13]  Alan Vardy,et al.  A computational study of wall friction and turbulence dynamics in accelerating pipe flows , 2008 .

[14]  D. Lilly,et al.  A proposed modification of the Germano subgrid‐scale closure method , 1992 .

[15]  H. H. Fernholz,et al.  The effects of a favourable pressure gradient and of the Reynolds number on an incompressible axisymmetric turbulent boundary layer - Part 1. The turbulent boundary layer , 1998 .

[16]  H. Eckelmann,et al.  Some properties of truncated turbulence signals in bounded shear flows , 1974, Journal of Fluid Mechanics.

[17]  B. R. Ramaprian,et al.  Fully developed periodic turbulent pipe flow. Part 2. The detailed structure of the flow , 1983, Journal of Fluid Mechanics.

[18]  U. Piomelli,et al.  Turbulent structures in accelerating boundary layers , 2000 .

[19]  Ugo Piomelli,et al.  Numerical simulation of pulsating turbulent channel flow , 2000 .

[20]  P. Moin,et al.  Turbulence statistics in fully developed channel flow at low Reynolds number , 1987, Journal of Fluid Mechanics.

[21]  Mahmoud Pasandidehfard,et al.  ASSESSMENT OF COMMON TURBULENCE MODELS UNDER CONDITIONS OF TEMPORAL ACCELERATION IN A PIPE , 2010 .

[22]  Sedat F. Tardu,et al.  Turbulent channel flow with large-amplitude velocity oscillations , 1994, Journal of Fluid Mechanics.

[23]  P. Moin,et al.  Reynolds-stress and dissipation-rate budgets in a turbulent channel flow , 1987, Journal of Fluid Mechanics.

[24]  P. Moin,et al.  Effects of the Computational Time Step on Numerical Solutions of Turbulent Flow , 1994 .

[25]  P. Moin,et al.  A dynamic subgrid‐scale eddy viscosity model , 1990 .