Turbulent heat transfer in a two-pass cooling channel by several wall turbulence models

Abstract This study presents a computational study of turbulent heat transfer through two-pass square-duct channel flows with several different turbulence models that were developed to improve near-wall predictions. To evaluate the performance of the advanced wall function (the analytical wall-function: AWF), the results were compared with experimental data, those by a low-Reynolds-number k – e model and a conventional wall function (the log-low based wall-function: LWF). Furthermore, the study extended to examining three more extended forms of the AWF. The duct used in this paper was a square duct of 50.8 mm side length (hydraulic diameter is 50.8 mm) and three Reynolds number cases were examined (30,000, 60,000 and 90,000). The LWF showed much lower Nusselt number levels in complex turbulent flow regions such as separation and reattachment zones, because the log-low employed in the model is impossible in such regions. On the other hand, the AWF proved its better performance over the LWF in the width of Reynolds number flow range. In addition, the extended forms of the AWF also showed improvements in the heat transfer predictions.

[1]  T. Liou,et al.  Fluid Flow in a 180 Deg Sharp Turning Duct With Different Divider Thicknesses , 1998 .

[2]  R. S. A ma no,et al.  DEVELOPMENT OF A TURBULENCE NEAR-WALL MODEL AND ITS APPLICATION TO SEPARATED AND REATTACHED FLOWS , 1984 .

[3]  Je-Chin Han,et al.  Computation of flow and heat transfer in rotating two-pass rectangular channels (AR = 1:1, 1:2, and 1:4) with smooth walls by a Reynolds stress turbulence model , 2004 .

[4]  B. A. Kader Heat and mass transfer in pressure-gradient boundary layers , 1991 .

[5]  B. Launder,et al.  Development and application of a cubic eddy-viscosity model of turbulence , 1996 .

[6]  Ryoichi S. Amano,et al.  Experimental and Numerical Evaluation of Geometric Modifications in Gas Turbine Blade Cooling Channel , 2012 .

[7]  Ryoichi S. Amano,et al.  Development of a turbulence near-wall model and its application to separated and reattached flows , 1984 .

[8]  A model of a turbulent boundary layer with a nonzero pressure gradient , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[9]  Tim Craft,et al.  Progress in the generalization of wall-function treatments , 2002 .

[10]  Jose Martinez Lucci,et al.  Computational Study of Gas Turbine Blade Cooling Channel , 2010 .

[11]  K. Suga,et al.  Modelling turbulent high Schmidt number mass transfer across undeformable gas–liquid interfaces , 2010 .

[12]  B. Launder,et al.  Application of the energy-dissipation model of turbulence to the calculation of flow near a spinning disc , 1974 .

[13]  Fue-Sang Lien,et al.  Upstream monotonic interpolation for scalar transport with application to complex turbulent flows , 1994 .

[14]  K. Suga,et al.  Computation of turbulent flows over porous/fluid interfaces , 2009 .

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

[16]  Tim Craft,et al.  Development and application of wall-function treatments for turbulent forced and mixed convection flows , 2006 .

[17]  Sergei Utyuzhnikov,et al.  Robin-type wall functions and their numerical implementation , 2008 .

[18]  K. Hanjalic,et al.  Compound Wall Treatment for RANS Computation of Complex Turbulent Flows and Heat Transfer , 2007 .

[19]  S. Patankar Numerical Heat Transfer and Fluid Flow , 2018, Lecture Notes in Mechanical Engineering.

[20]  The computation of flow and heat transfer through an orthogonally rotating square-ended U-bend, using low-Reynolds-number models , 2006 .

[21]  Paul A. Durbin,et al.  Limiters and wall treatments in applied turbulence modeling , 2009 .

[22]  Tobias Knopp,et al.  A grid and flow adaptive wall-function method for RANS turbulence modelling , 2006, J. Comput. Phys..

[23]  M. W. Collins,et al.  k-ε Predictions of Heat Transfer in Turbulent Recirculating Flows Using an Improved Wall Treatment , 1989 .

[24]  K. Suga,et al.  An analytical wall-function for recirculating and impinging turbulent heat transfer , 2013 .

[25]  Fue-Sang Lien,et al.  A general non-orthogonal collocated finite volume algorithm for turbulent flow at all speeds incorporating second-moment turbulence-transport closure, Part 1: Computational implementation , 1994 .

[26]  Sourabh Kumar,et al.  Numerical simulations of heat transfer distribution of a two-pass square channel with V-rib turbulator and bleed holes , 2013 .

[27]  B. Launder,et al.  On the calculation of turbulent heat transport downstream from an abrupt pipe expansion , 1980 .

[28]  Tim Craft,et al.  Modelling of three-dimensional jet array impingement and heat transfer on a concave surface , 2008 .

[29]  C. Benocci,et al.  Approximate Wall Boundary Conditions for Large Eddy Simulations , 1995 .

[30]  B. Launder,et al.  The numerical computation of turbulent flows , 1990 .

[31]  Kazuhiko Suga,et al.  An analytical wall-function for turbulent flows and heat transfer over rough walls , 2006 .

[32]  Jose Martinez Lucci,et al.  Turbulent Flow and Heat Transfer in Variable Geometry U-Bend Blade Cooling Passage , 2007 .

[33]  C. Rhie,et al.  Numerical Study of the Turbulent Flow Past an Airfoil with Trailing Edge Separation , 1983 .

[34]  Bengt Sundén,et al.  Heat Transfer in Gas Turbines , 2001 .

[35]  Kazuhiko Suga,et al.  Computation of high Prandtl number turbulent thermal fields by the analytical wall-function , 2007 .