Large eddy simulation of turbulent heat transfer at supercritical pressures

Abstract The paper presents results of large eddy simulation of turbulent heat transfer for water at supercritical pressures. Two cases are considered; the downward and the upward flow in an externally heated pipe. The temperature range for both considered cases entails the pseudo-critical region, where physical properties of the working fluid change significantly. The upward case, in particular, features the heat transfer deterioration, characterized by large increase in wall temperature. The numerical framework consists of staggered finite volume method, defined on Cartesian grids, integrated in time with a projection method. Variable physical properties of the working fluid are implemented as look-up tables, based on the NIST database. Turbulent statistics were gathered for a range of 55 large-eddy turn-over times. The results for first and second moment statistics are presented. Wall temperature, in particular, compares favorably with measurements. The authors believe that insight into turbulent statistics presented in this work can be useful to improve Reynolds-averaged Navier–Stokes based models.

[1]  F. Nicoud,et al.  Subgrid-Scale Stress Modelling Based on the Square of the Velocity Gradient Tensor , 1999 .

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

[3]  S. Benhamadouche,et al.  A synthetic-eddy-method for generating inflow conditions for large-eddy simulations , 2006 .

[4]  W. Ambrosini,et al.  Prediction of Experimental Data on Heat Transfer to Supercritical Water with Two-Equation Turbulence Models , 2007 .

[5]  T. Fujii,et al.  Forced convective heat transfer to supercritical water flowing in tubes , 1972 .

[6]  Igor Pioro,et al.  Heat Transfer to Supercritical Water in Gaseous State or Affected by Mixed Convection in Vertical Tubes , 2006 .

[7]  T. Schulenberg,et al.  Heat transfer at supercritical pressures. Literature review and application to an HPLWR , 2001 .

[8]  J. Yoo,et al.  Direct numerical simulation of turbulent supercritical flows with heat transfer , 2005 .

[9]  Masud Behnia,et al.  Prediction of heat transfer in an axisymmetric turbulent jet impinging on a flat plate , 1998 .

[10]  Shuisheng He,et al.  Assessment of performance of turbulence models in predicting supercritical pressure heat transfer in a vertical tube , 2008 .

[11]  G. Raithby,et al.  A multigrid method based on the additive correction strategy , 1986 .

[12]  Nagi N. Mansour,et al.  An algebraic model for the turbulent flux of a passive scalar , 1989, Journal of Fluid Mechanics.

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

[14]  Brian Launder,et al.  On the computation of buoyancy-driven turbulent flows in rectangular enclosures , 1989 .

[15]  P. Jiang,et al.  Simulation of mixed convection heat transfer to carbon dioxide at supercritical pressure , 2004 .

[16]  Xu Cheng,et al.  Experimental and numerical investigation of turbulent convective heat transfer deterioration of supercritical water in vertical tube , 2012 .

[17]  Joon-Sik Lee,et al.  Wall temperature measurements with turbulent flow in heated vertical circular/non-circular channels of supercritical pressure carbon-dioxide , 2007 .

[18]  Igor Pioro,et al.  Heat transfer to supercritical fluids flowing in channels—empirical correlations (survey) , 2004 .

[19]  Timothy Abram,et al.  A Technology Roadmap for Generation-IV Nuclear Energy Systems, USDOE/GIF-002-00 , 2002 .

[20]  T. Lund,et al.  Generation of Turbulent Inflow Data for Spatially-Developing Boundary Layer Simulations , 1998 .

[21]  H. Gu,et al.  Numerical simulation of heat transfer deterioration phenomenon in supercritical water through vertical tube , 2010 .

[22]  A. Chorin.  Numerical solution of the Navier-Stokes equations , 1968 .

[23]  T. Shih,et al.  New time scale based k-epsilon model for near-wall turbulence , 1993 .

[24]  Michele Andreani,et al.  MULTI-SCALE MODELING AND ANALYSIS OF CONVECTIVE BOILING: TOWARDS THE PREDICTION OF CHF IN ROD BUNDLES , 2010 .

[25]  M. Germano,et al.  Turbulence: the filtering approach , 1992, Journal of Fluid Mechanics.