Large-eddy simulation of heat transfer downstream of a backward-facing step

Large-eddy simulation is used to predict heat transfer in the separated and reattached flow regions downstream of a backward-facing step. Simulations were carried out at a Reynolds number of 28 000 (based on the step height and the upstream centreline velocity) with a channel expansion ratio of 1.25. The Prandtl number was 0.71. Two subgrid-scale models were tested, namely the dynamic eddy-viscosity, eddy-diffusivity model and the dynamic mixed model. Both models showed good overall agreement with available experimental data. The simulations indicated that the peak in heat-transfer coefficient occurs slightly upstream of the mean reattachment location, in agreement with experimental data. The results of these simulations have been analysed to discover the mechanisms that cause this phenomenon. The peak in heat-transfer coefficient shows a direct correlation with the peak in wall shear-stress fluctuations. It is conjectured that the peak in these fluctuations is caused by an impingement mechanism, in which...

[1]  B. P. Leonard,et al.  A stable and accurate convective modelling procedure based on quadratic upstream interpolation , 1990 .

[2]  Parviz Moin,et al.  Method for Generating Equilibrium Swirling Inflow Conditions , 1998 .

[3]  Pierre Sagaut,et al.  LARGE-EDDY SIMULATION OF HEAT TRANSFER OVER A BACKWARD-FACING STEP , 2002 .

[4]  W. Aung An Interferometric Investigation of Separated Forced Convection in Laminar Flow Past Cavities , 1983 .

[5]  John K. Eaton,et al.  Combined Heat Transfer and Fluid Dynamic Measurements Downstream of a Backward-Facing Step , 1985 .

[6]  B. Geurts,et al.  On the formulation of the dynamic mixed subgrid-scale model , 1994 .

[7]  Ashley F. Emery,et al.  Benchmark computational results for turbulent backward-facing step flow with heat transfer , 1996 .

[8]  P. Moin,et al.  Suitability of upwind-biased finite difference schemes for large-eddy simulation of turbulent flows , 1997 .

[9]  P. Moin,et al.  Large-eddy simulation of turbulent confined coannular jets , 1996, Journal of Fluid Mechanics.

[10]  J. Vogel,et al.  Heat transfer and fluid mechanics measurements in the turbulent reattaching flow behind a backward-facing step , 1984 .

[11]  N. Kasagi,et al.  Three-dimensional particle-tracking velocimetry measurement of turbulence statistics and energy budget in a backward-facing step flow , 1995 .

[12]  P. Moin,et al.  Application of a Fractional-Step Method to Incompressible Navier-Stokes Equations , 1984 .

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

[14]  C. Meneveau,et al.  A Lagrangian dynamic subgrid-scale model of turbulence , 1994, Journal of Fluid Mechanics.

[15]  P. Moin,et al.  Space–time characteristics of the wall shear-stress fluctuations in a low-Reynolds-number channel flow , 1999 .

[16]  Richard H. Pletcher,et al.  LARGE EDDY SIMULATION OF THE TURBULENT FLOW PAST A BACKWARD FACING STEP WITH HEAT TRANSFER AND PROPERTY VARIATIONS , 2002, Proceeding of Second Symposium on Turbulence and Shear Flow Phenomena.

[17]  I. Orlanski A Simple Boundary Condition for Unbounded Hyperbolic Flows , 1976 .