Investigation of a two-equation turbulent heat transfer model applied to ducts

This investigation concerns numerical calculation of fully developed turbulent forced convective heat transfer and fluid flow in ducts over a wide range of Reynolds numbers. The low Reynolds number version of a non-linear eddy viscosity model is combined with a two-equation heat flux model with the eddy diffusivity concept. The model can theoretically be used for a range of Prandtl numbers or a range of at different fluids. The computed results compare satisfactory with the. available experiment. Based on existing DNS data and calculations in this work the ratio between the time-scales (temperature to velocity) is found to be approximately 0.7. In light of this assumption an algebraic scalar flux model with variable diffusivity is presented. (Less)

[1]  C. G. Speziale.  On nonlinear K-l and K-ε models of turbulence , 1987, Journal of Fluid Mechanics.

[2]  E. Sparrow,et al.  Fully Developed Flow and Heat Transfer in Ducts Having Streamwise-Periodic Variations of Cross-Sectional Area , 1977 .

[3]  Surya Pratap Vanka,et al.  Large eddy simulation of turbulence‐driven secondary flow in a square duct , 1991 .

[4]  J. Nikuradse,et al.  Untersuchungen über turbulente Strömungen in nicht kreisförmigen Rohren , 1930 .

[5]  L. Fuchs,et al.  Large eddy simulation if separated transonic flow around a wing section , 1998 .

[6]  Asmund Huser,et al.  Direct numerical simulation of turbulent flow in a square duct , 1992 .

[7]  S. Gavrilakis,et al.  Numerical simulation of low-Reynolds-number turbulent flow through a straight square duct , 1992, Journal of Fluid Mechanics.

[8]  Thomas B. Gatski,et al.  Predicting Turbulent Convective Heat Transfer in Fully Developed Duct Flows , 2001 .

[9]  Masafumi Hirota,et al.  Turbulent heat transfer in a square duct , 1997 .

[10]  F. Incropera,et al.  Fundamentals of Heat and Mass Transfer - Fourth edition , 1996 .

[11]  Ken-ichi Abe,et al.  A new turbulence model for predicting fluid flow and heat transfer in separating and reattaching flows—I. Flow field calculations , 1995 .

[12]  R. So,et al.  A Near-Wall Eddy Conductivity Model for Fluids With Different Prandtl Numbers , 1994 .

[13]  D. Wilcox.  Turbulence modeling for CFD , 1993 .

[14]  Parviz Moin,et al.  Transport of Passive Scalars in a Turbulent Channel Flow , 1989 .

[15]  Otto Zeman,et al.  Modeling Buoyancy Driven Mixed Layers , 1976 .

[16]  N. Kasagi,et al.  PROGRESS IN DIRECT NUMERICAL SIMULATION OF TURBULENT HEAT TRANSFER , 1999 .

[17]  P. Moin,et al.  Turbulence statistics in fully developed channel flow at low Reynolds number , 1987, Journal of Fluid Mechanics.

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

[19]  Bengt Sundén,et al.  Numerical and experimental investigation of turbulent flow in a rectangular duct , 1998 .

[20]  R. Antonia,et al.  Temperature-dissipation measurements in a turbulent boundary layer , 1987, Journal of Fluid Mechanics.

[21]  S. Torii,et al.  NEW NEAR-WALL TWO-EQUATION MODEL FOR TURBULENT HEAT TRANSPORT , 1996 .