Detached eddy simulation of flow and heat transfer in fully developed rotating internal cooling channel with normal ribs

Abstract Numerical predictions of a hydrodynamic and thermally developed turbulent flow are presented for a rotating duct with square ribs aligned normal to the main flow direction. Three rotation numbers Ro  = 0.18, 0.35 and 0.67 are investigated. The rib height to channel hydraulic diameter ( e / D h ) is 0.1, the rib pitch to rib height ( P / e ) is 10 and the calculations have been carried out for a bulk Reynolds number of 20,000. The capability of the detached eddy simulation (DES) in predicting the turbulent flow field and the heat transfer under the effects of rotation has been evaluated against unsteady Reynolds-averaged Navier Stokes (URANS), large-eddy simulations (LES), and experimental data. It is shown that DES by capturing a large portion of the turbulent energy in the resolved scales is much more capable than URANS in transcending the underlying shortcomings of the RANS model. DES shows much better fidelity in calculating critical components of the turbulent flow field and heat transfer than URANS.

[1]  James R. Forsythe,et al.  Detached-eddy simulation of fighter aircraft at high alpha , 2002 .

[2]  Danesh K. Tafti,et al.  Evaluating the role of subgrid stress modeling in a ribbed duct for the internal cooling of turbine blades , 2005 .

[3]  Frank P. Incropera,et al.  Fundamentals of Heat and Mass Transfer , 1981 .

[4]  Franck Nicoud,et al.  An approach to wall modeling in large-eddy simulations , 2000 .

[5]  M. Strelets Detached eddy simulation of massively separated flows , 2001 .

[6]  Brian Launder,et al.  Sensitizing the Dissipation Equation to Irrotational Strains , 1980 .

[7]  Rodrick V. Chima,et al.  A k-Omega Turbulence Model for Quasi-Three-Dimensional Turbomachinery Flows , 1996 .

[8]  Tony Arts,et al.  The Effect of Periodic Ribs on the Local Aerodynamic and Heat Transfer Performance of a Straight Cooling Channel , 1996 .

[9]  Tuan Ngo,et al.  Numerical solution of turbulent flow past a backward facing step using a nonlinear K-epsilon model , 1987 .

[10]  J. Wagner,et al.  Heat transfer in rotating serpentine passages with trips skewed to the flow , 1992 .

[11]  A. Murata,et al.  Large eddy simulation with a dynamic subgrid-scale model of turbulent heat transfer in an orthogonally rotating rectangular duct with transverse rib turbulators , 2000 .

[12]  Danesh K. Tafti,et al.  Large Eddy Simulation of Flow and Heat Transfer in the 180‐Deg Bend Region of a Stationary Gas Turbine Blade Ribbed Internal Cooling Duct , 2006 .

[13]  Danesh K. Tafti,et al.  Large Eddy Simulation of Flow and Heat Transfer in a Staggered 45° Ribbed Duct , 2004 .

[14]  Danesh K. Tafti,et al.  Detached Eddy Simulation of Turbulent Flow and Heat Transfer in a Ribbed Duct , 2005 .

[15]  F. Menter Improved two-equation k-omega turbulence models for aerodynamic flows , 1992 .

[16]  Jinhee Jeong,et al.  On the identification of a vortex , 1995, Journal of Fluid Mechanics.

[17]  P. Spalart Comments on the feasibility of LES for wings, and on a hybrid RANS/LES approach , 1997 .

[18]  Danesh K. Tafti,et al.  Large Eddy Simulation of Flow and Heat Transfer in a 90 deg Ribbed Duct With Rotation: Effect of Coriolis and Centrifugal Buoyancy Forces , 2004 .

[19]  A. Murata,et al.  Effect of cross-sectional aspect ratio on turbulent heat transfer in an orthogonally rotating rectangular smooth duct , 1999 .

[20]  Danesh K. Tafti,et al.  Large Eddy Simulation of Flow and Heat Transfer in the Developing Flow Region of a Rotating Gas Turbine Blade Internal Cooling Duct With Coriolis and Buoyancy Forces , 2008 .

[21]  Kazunori Watanabe,et al.  LES Simulation and Experimental Measurement of Fully Developed Ribbed Channel Flow and Heat Transfer , 2002 .

[22]  Subrata Roy,et al.  Detached-Eddy Simulation over a Reference Ahmed Car Model , 2003 .

[23]  Hector Iacovides,et al.  Developing Buoyancy-Modified Turbulent Flow in Ducts Rotating in Orthogonal Mode , 1995 .

[24]  Hector Iacovides,et al.  Parametric and Numerical Study of Fully Developed Flow and Heat Transfer in Rotating Rectangular Ducts , 1991 .

[25]  D. K. Lezius,et al.  Roll-cell instabilities in rotating laminar and trubulent channel flows , 1976, Journal of Fluid Mechanics.

[26]  Analogy between turbulent flows in curved pipes and orthogonally rotating pipes , 1996 .

[27]  H. L. Seegmiller,et al.  Features of a reattaching turbulent shear layer in divergent channel flow , 1985 .

[28]  Danesh K. Tafti,et al.  Detached eddy simulation of turbulent flow and heat transfer in a two-pass internal cooling duct , 2006 .

[29]  K. C. Civinskas,et al.  Computations of flow and heat transfer in a rotating U-shaped square duct with smooth walls , 1996 .

[30]  Karen A. Thole,et al.  Experimental validation of large eddy simulations of flow and heat transfer in a stationary ribbed duct , 2006 .

[31]  Antti Hellsten,et al.  Some improvements in Menter's k-omega SST turbulence model , 1998 .

[32]  R. Amano,et al.  Computations of turbulent flow beyond backward-facing steps using Reynolds-stress closure , 1985 .

[33]  David L. Rigby,et al.  Prediction of Heat and Mass Transfer in a Rotating Ribbed Coolant Passage With a 180 Degree Turn , 1998 .

[34]  Zhang Yuming,et al.  Wall heating effect on local heat transfer in a rotating two-pass square channel with 90° rib turbulators , 1994 .

[35]  C. H. Priddin,et al.  The calculation of turbulent boundary layers on spinning and curved surfaces , 1977 .

[36]  D. C. Wilcox,et al.  Streamline curvature effects on turbulent boundary layers , 1976 .

[37]  M. Chyu,et al.  A Numerical Study of Flow and Heat Transfer in a Smooth and Ribbed U-Duct With and Without Rotation , 2001 .

[38]  Danesh K. Tafti,et al.  Large Eddy Simulation of Flow and Heat Transfer in the 180° Bend Region of a Stationary Ribbed Gas Turbine Internal Cooling Duct , 2005 .

[39]  W. Rodi,et al.  Calculation of curved shear layers with two‐equation turbulence models , 1983 .

[40]  R. Zerkle,et al.  Prediction of Turbulent Flow and Heat Transfer in a Ribbed Rectangular Duct With and Without Rotation , 1993 .

[41]  J. Wagner,et al.  Heat transfer in rotating serpentine passages with trips skewed to the flow , 1992 .

[42]  S. V. Patankar,et al.  Flow Prediction in Rotating Ducts Using Coriolis-Modified Turbulence Models , 1980 .

[43]  P. Bradshaw,et al.  The analogy between streamline curvature and buoyancy in turbulent shear flow , 1969, Journal of Fluid Mechanics.