ADVANCED NUMERICAL SIMULATION DEDICATED TO THE PREDICTION OF HEAT TRANSFER IN A HIGHLY LOADED TURBINE GUIDE VANE

This paper proposes to investigate the capacity of numerical simulation to estimate wall heat fluxes in a highly loaded turbine guide vane (with both structured and unstructured flow solvers). Different numerical approaches are assessed, from steady-state methods based on the Reynolds Averaged Navier-Stokes (RANS) equations to more sophisticated methods such as the Large Eddy Simulation (LES) technique. As expected steady flow simulations fail to predict the wall heat transfer, mainly because unsteady flows and laminar-to turbulent transition are not taken into account. The results underline the role of the vortex shedding, mainly through the emission of acoustic waves that interact with the suction side boundary layer. Only the LES (partially) succeeds to estimate wall heat fluxes since this method considerably improves the level of physical description (including boundary layer transition). However, the LES still requires validation and developments for such complex flows. This study also points out the dependency of results to the freestream turbulence intensity, which is a difficult parameter to manage with LES. Structured and unstructured flow solvers predict a different behaviour of the boundary layer (natural or by-passed transition), depending on the external turbulence intensity.Copyright © 2010 by ASME

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

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

[3]  P. Lax,et al.  Difference schemes for hyperbolic equations with high order of accuracy , 1964 .

[4]  P. Lax,et al.  Systems of conservation laws , 1960 .

[5]  Yi Liu,et al.  AERODYNAMICS AND HEAT TRANSFER PREDICTIONS IN A HIGHLY LOADED TURBINE BLADE , 2007 .

[6]  P. Moin,et al.  A dynamic subgrid‐scale model for compressible turbulence and scalar transport , 1991 .

[7]  M. Lesieur,et al.  Large-eddy simulation of transition to turbulence in a boundary layer developing spatially over a flat plate , 1996, Journal of Fluid Mechanics.

[8]  T. Poinsot,et al.  Influence of boundary conditions in LES of premixed combustion instabilities , 2000 .

[9]  Bryan E. Richards,et al.  Short Duration Measurements of Heat-Transfer Rate to a Gas Turbine Rotor Blade , 1982 .

[10]  Paul G. Tucker,et al.  LES and hybrid LES/RANS simulations for conjugate heat transfer , 2005 .

[11]  D. Wilcox.  Reassessment of the scale-determining equation for advanced turbulence models , 1988 .

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

[13]  Herbert Jericha,et al.  External heat transfer predictions in a highly loaded transonic linear turbine guide vane cascade using an upwind biased Navier-Stokes solver , 1999 .

[14]  G.,et al.  TOWARD THE LARGE-EDDY SIMULATION OF COMPRESSIBLE TURBULENT FLOWS , 2022 .

[15]  Seokkwan Yoon,et al.  An LU-SSOR scheme for the Euler and Navier-Stokes equations , 1987 .

[16]  M. Liou.  A Sequel to AUSM , 1996 .

[17]  P. Comte.  Vortices in Compressible LES and Non-Trivial Geometries , 1997 .

[18]  T. Poinsot.  Boundary conditions for direct simulations of compressible viscous flows , 1992 .

[19]  T. Poinsot,et al.  High Performance Parallel Computing of Flows in Complex Geometries-Part 2 : Applications , 2009 .

[20]  Debra Spinks,et al.  Annual Research Briefs , 1997 .

[21]  Oh Joon Kwon,et al.  Simulation of three-dimensional turbulent flows on unstructured meshes , 1995 .

[22]  Joel H Ferziger.  Large Eddy Numerical Simulations of Turbulent Flows , 1977 .

[23]  F. Nicoud,et al.  Coupling heat transfer solvers and large eddy simulations for combustion applications , 2008 .

[24]  Olivier Colin,et al.  Development of High-Order Taylor-Galerkin Schemes for LES , 2000 .

[25]  Evgueni M. Smirnov,et al.  % LAMINAR-TURBULENT TRANSITION MODEL , 2009 .

[26]  T. Poinsot,et al.  Theoretical and numerical combustion , 2001 .

[27]  Laurent Cambier,et al.  Status of the elsA CFD Software for Flow Simulation and Multidisciplinary Applications , 2008 .

[28]  J. Sidès,et al.  An implicit finite-volume method for solving the Euler equations , 1982 .

[29]  P Sagaut,et al.  Large Eddy Simulation for Incompressible Flows: An Introduction. Scientific Computation Series , 2002 .

[30]  K. Hanjalić,et al.  Turbulent heat transfer from a multi-layered wall-mounted cube matrix: a large eddy simulation , 2002 .

[31]  Srinath V. Ekkad,et al.  Gas Turbine Heat Transfer and Cooling Technology , 2012 .

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

[33]  T. Simon,et al.  Transition to Turbulence Under Low‐Pressure Turbine Conditions , 2001, Annals of the New York Academy of Sciences.

[34]  Guillermo Rein,et al.  44th AIAA Aerospace Sciences Meeting and Exhibit , 2006 .

[35]  Joel H. Ferziger,et al.  New Tools in Turbulence Modelling , 1997 .

[36]  P. Adami,et al.  Heat Transfer Modelling in Gas Turbine Stage , 2003 .

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

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

[39]  T. V. Jones,et al.  Heat-transfer measurements in short-duration hypersonic facilities , 1973 .

[40]  Franck Nicoud,et al.  Large-eddy simulation of a bi-periodic turbulent flow with effusion , 2008, Journal of Fluid Mechanics.

[41]  P. Sagaut.  Large Eddy Simulation for Incompressible Flows , 2001 .