References
- Pope , S. B. 1975 . A More General Effective-Viscosity Hypothesis . J. Fluid Mech. , 72 : 331 – 340 .
- Rodi , W. 1976 . A New Algebraic Relation for Calculating the Reynolds Stresses . Z. Angew. Math. Mech. , 56 : T219 – T221 .
- Launder , B. E. 1975 . On the Effects of a Gravitational Field on the Turbulent Transport of Heat and Momentum . J. Fluid Mech. , 67 : 569 – 581 .
- Speziale , C. G. 1991 . Analytical Methods for the Development of Reynolds Stress Closures in Turbulence . Amu. Rev. Fluid Mech. , 23 : 107 – 157 .
- Taulbee , D. B. 1992 . An Improved Algebraic Reynolds Stress Model and Corresponding Nonlinear Stress Model . Phys. Fluids A , 4 ( 11 ) : 2555 – 2561 .
- Gatski , T. B. and Speziale , C. G. 1993 . On Explicit Algebraic Stress Models for Complex Turbulent Flows . J. Fluid Mech. , 254 : 59 – 78 .
- Taulbee , D. B. , Sonnenmeier , J. R. and Wall , K. W. 1993 . Stress Relation for Three-Dimensional Turbulent Flows . Phys. Fluids , 6 ( 3 ) : 1399 – 1401 .
- Yakhot , V. and Orszag , S. A. 1986 . Renormalization Group Analysis of Turbulence. I. Basic Theory . J. Sci. Comput. , 1 ( 1 ) : 3 – 52 .
- Horiuti , K. 1969 . Higher Order Terms in the Anisotropie Representation of Reynolds Stresses . Phys. Fluids , 2 ( 10 ) : 1708 – 1711 .
- Yoshizawa , A. 1984 . Statistical Analysis of the Deviation of the Reynolds Stress from its EddyViscosity Representation . Phys. Fluids , 27 : 1377 – 1387 .
- Yoshizawa , A. 1988 . Statistical Modeling of Passive-Scalar Diffusion in Turbulent Shear Flows . J. Fluid Mech. , 195 : 541 – 555 .
- Taulbee , D. B. 1989 . “ Engineering Turbulence Models ” . In Advances in Turbulence , Edited by: in , George , W. K. and Arndt , R. 75 – 125 . New York : Hemisphere .
- Wilcox , D. C. 1993 . Turbulence Modeling for CFD , La Canada, CA : DCW Industries .
- Launder , B. E. , Reece , G. J. and Rodi , W. 1975 . Progress in the Development of a ReynoldsStress Turbulence Closure . J. Fluid Mech. , 68 : 537 – 566 .
- V. Adumitroaie, Quasi-Explicit Algebraic Turbulence Closures for Compressible Reacting Flows, Ph. D. thesis, Department of Mechanical and Aerospace Engineering, State University of New York at Buffalo, Buffalo, NY, 1997.
- Rivlin , R. S. 1955 . Further Remarks on the Stress-Deformation Relations for Isotropie Materials . J. Rat. Mech. Anal. , 4 : 681 – 702 .
- A. J. M. Spencer, Theory of Invariants, in A. C. Bringen (eds.), pp. 240-352, Academic, New York, 1971.
- F. Mashayek and D. B. Taulbee, A Four-Equation Model for Prediction of Gas-Solid Turbulent Flows, Numer. Heat Transfer B, in press, 2001.
- T. Höfler, Reynolds Stress Model (RSM) in FIRE, FIRE Newslett., vol. 5, p. l, 1993, Fluid Dynamics Research Newsletter of AVL Inc., Graz, Austria.
- Mashayek , F. and Taulbee , D. B. 2002 . Turbulent Gas-Solid Flows . Part I: Direct Simulations and Reynolds Stress Closures, Numer. Heat Transfer B , 41 ( 1 ) : 1 – 29 .