Turbulent Flow in Wavy Channels Simulated with Nonlinear Models and a New Implicit Formulation

REFERENCES

• S. Ergin , M. Ota , and H. Yamaguchi , Numerical Study of Periodic Turbulent Flow through a Corrugated Duct , Numer. Heat Transfer A , vol. 40 , no. 2 , pp. 139 – 156 , 2001 .
   Web of Science ®Google Scholar
• A. Hadjadj and M. El Kyal , Effect of Two Sinusoidal Protuberances on Natural Convection in a Vertical Concentric Annulus , Numer. Heat Transfer A , vol. 36 , no. 3 , pp. 273 – 289 , 1999 .
   Web of Science ®Google Scholar
• N. Mohamed , B. Khedidja , Z. Belkacem , and D. Michel , Numerical Study of Laminar Forced Convection in Entrance Region of a Wavy Wall Channel , Numer. Heat Transfer A , vol. 53 , no. 1 , pp. 35 – 52 , 2008 .
   Web of Science ®Google Scholar
• S. Prétot , J. Miriel , Y. Bailly , and B. Zeghmati , Visualization and Simulation of the Natural-Convection Flow above Horizontal Wavy Plates , Numer. Heat Transfer A , vol. 43 , no. 3 , pp. 307 – 325 , 2003 .
   Web of Science ®Google Scholar
• L. Z. Zhang and J. L. Niu , A Numerical Study of Laminar Forced Convection in Sinusoidal Ducts with Arc Lower Boundaries under Uniform Wall Temperature , Numer. Heat Transfer A , vol. 40 , no. 1 , pp. 55 – 72 , 2001 .
   Web of Science ®Google Scholar
• E. Nobile , F. Pinto , and G. Rizzetto , Geometric Parameterization and Multiobjective Shape Optimization of Convective Periodic Channels , Numer. Heat Transfer B , vol. 50 , no. 5 , pp. 425 – 453 , 2006 .
   Web of Science ®Google Scholar
• C. Nonino and G. Comini , Finite-Element Analysis of Convection Problems in Spatially Periodic Domains , Numer. Heat Transfer B , vol. 34 , no. 4 , pp. 361 – 378 , 1998 .
   Web of Science ®Google Scholar
• S. H.-K. Lee and Y. Jaluria , Effects of Streamwise Convergence in Radius on the Laminar Forced Convection in Axisymmetric Ducts , Numer. Heat Transfer A , vol. 28 , no. 1 , pp. 19 – 38 , 1995 .
   Web of Science ®Google Scholar
• K. Noto , T. Miyake , and T. Nakajima , Generation of the Karman Vortex Street at Low Reynolds Number due to Cooling a Cylinder: Cause and Fluid Type Effect by Numerical Computation , Numer. Heat Transfer A , vol. 40 , no. 6 , pp. 659 – 688 , 2001 .
   Web of Science ®Google Scholar
• N. H. Saeid and Y. Yaacob , Natural Convection in a Square Cavity with Spatial Side-Wall Temperature Variation , Numer. Heat Transfer A , vol. 49 , no. 7 , pp. 683 – 697 , 2006 .
   Web of Science ®Google Scholar
• S. M. Aminossadati and B. Ghasemi , Comparison of Mixed Convection in a Square Cavity with an Oscillating Versus a Constant Velocity Wall , Numer. Heat Transfer A , vol. 54 , no. 7 , pp. 726 – 743 , 2008 .
   Web of Science ®Google Scholar
• Q.-H. Deng and J.-J. Chang , Natural Convection in a Rectangular Enclosure with Sinusoidal Temperature Distributions on Both Side Walls , Numer. Heat Transfer A , vol. 54 , no. 5 , pp. 507 – 524 , 2008 .
   Web of Science ®Google Scholar
• V. C. Patel , J. T. Chon , and J. Y. Yoon , Turbulent Flow in a Channel with a Wavy Wall , J. Fluids Eng. , vol. 113 , pp. 579 – 586 , 1991 .
   Web of Science ®Google Scholar
• M. A. Habib , I. Ul-Haq , H. M. Badr , and S. A. M. Said , Calculation of Turbulent Flow and Heat Transfer in Periodically Converging-Diverging Channels , Computers & Fluids , vol. 27 , no. 1 , pp. 95 – 120 , 1998 .
   Web of Science ®Google Scholar
• S. T. Hsu and J. F. Kennedy , Turbulent Flow in Wavy Pipes , J. Fluid Mech. , vol. 47 , no. 3 , pp. 481 – 502 , 1971 .
   Google Scholar
• D. P. Zilker , G. W. Cook , and T. J. Hanratty , Influence of the Amplitude of a Solid Wavy Wall on a Turbulent Flow, Non-Separated Flows, Part 1 , J. Fluids Mech. , vol. 82 , pp. 29 – 51 , 1977 .
   Web of Science ®Google Scholar
• J. Buckels , T. J. Hanratty , and R. J. Adrian , Turbulent Flow over Large Amplitude Wavy Surfaces , J. Fluid Mech. , vol. 140 , pp. 27 – 44 , 1984 .
   Web of Science ®Google Scholar
• N. Saniei and S. Dini , Effects of Height and Geometry on Local Heat Transfer and Pressure Drop in Channel with Corrugated Walls , Heat Transfer Eng. , vol. 14 , no. 4 , pp. 19 – 31 , 1993 .
   Web of Science ®Google Scholar
• T. J. Hanratty , J. Abrams , and K. A. Frederic , Flow over Solid Wavy Surfaces, in R. Dumas and L. Fulachier (eds.), Structure of Complex Turbulent Shear Flow, IUTAM Symposium Marseille 1982 , pp. 79–88, Springer , Berlin , 1983.
   Google Scholar
• W. P. Jones and B. E. Launder , The Prediction of Laminarization with Two-Equation Model of Turbulence , Int. J. Heat & Mass Transfer , vol. 15 , pp. 301 – 314 , 1972 .
   Web of Science ®Google Scholar
• B. E. Launder , G. J. Reece , and W. Rodi , Progress in the Development of a Reynolds Stress Turbulence Closure , J. Fluid Mech. , vol. 68 , pp. 537 , 1975 .
   Web of Science ®Google Scholar
• C. G. Speziale , On Nonlinear k-l and k-ε Models of Turbulence , J. Fluid Mech. , vol. 176 , pp. 459 – 475 , 1987 .
   Google Scholar
• S. Nisizima and A. Yoshizawa , Turbulent Channel and Couette Flows Using an Anisotropic k-ε Model , AIAA J. , vol. 25 , no. 3 , pp. 414 , 1987 .
   Google Scholar
• R. Rubinstein and J. M. Barton , Renormalization Group Analysis of the Stress Transport Equation , Phys. Fluids , vol. A2 , no. 8 , pp. 1472 – 1476 , 1990 .
   Google Scholar
• T. H. Shih , J. Zhu , and J. L. Lumley , A Realizable Reynolds Stress Algebraic Equation Model, NASA TM-105993 , 1993 .
   Google Scholar
• T. B. Gatski and C. G. Speziale , On Explicit Algebraic Stress Models for Complex Turbulent Flows , J. Fluid Mech. , vol. 254 , pp. 59 – 78 , 1993 .
   Web of Science ®Google Scholar
• R. Abid , C. Rumsey , and T. B. Gatski , Prediction of Nonequilibrium Turbulent Flows with Explicit Algebraic Stress Models , AIAA J. , vol. 33 , no. 11 , pp. 2026 – 2031 , 1995 .
   Google Scholar
• M. Rahman , P. Rautaheimo , and T. Siikonen , Numerical Study of Turbulent Heat Transfer from a Confined Impinging Jet using a Pseudo-Compressibility Method , in K. Hanjalic and T. Peeters , (eds.), Turbulence, Heat and Mass Transfer 2 , pp. 511 – 520 , Delf University Press , Delft , 1997 .
   Google Scholar
• W. Bauer , O. Haag , and D. K. Hennecke , Accuracy and Robustness of Nonlinear Eddy Viscosity Models , Int. J. Heat and Fluid Flow , vol. 21 , pp. 312 – 319 , 2000 .
   Web of Science ®Google Scholar
• K. Abe , Y. Nagano , and T. Kondoh , An Improved k-ε Model for Prediction of Turbulent Flows with Separation and Reattachment , Trans. JSME Ser. B , vol. 58 , pp. 3003 – 3010 , 1992 .
   Google Scholar
• B. E. Launder and D. B. Spalding , The Numerical Computation of Turbulent Flows , Comp. Meth. Appl. Mech. Eng. , vol. 3 , pp. 269 – 289 , 1974 .
   Google Scholar
• S. B. Pope , A More General Effective-Viscosity Hypothesis , J. Fluid Mech. , vol. 72 , pp. 331 , 1975 .
   Web of Science ®Google Scholar
• S. V. Patankar , Numer. Heat Transfer and Fluid Flow , Hemisphere , New York , 1980 .
   Google Scholar
• M. J. S. de Lemos , Flow and Heat Transfer in Rectangular Enclosures Using A New Block-Implicit Numerical Method , Numer. Heat Transfer B , vol. 37 , no. 4 , pp. 489 – 508 , 2000 .
   Web of Science ®Google Scholar
• M. J. S. de Lemos , A Block-Implicit Method for Numerical Simulation of Swirling Flows in a Model Combustor , Int. Comm. Heat And Mass Transfer , vol. 30 , no. 3 , pp. 369 – 378 , 2003 .
   Web of Science ®Google Scholar
• M. J. S. de Lemos , A Block-Implicit Numerical Procedure for Simulation of Buoyant Swirling Flows in a Model Furnace , Int. J. Num. Methods in Fluids , vol. 43 , no. 3 , pp. 281 – 299 , 2003 .
   Web of Science ®Google Scholar
• P. K. Khosla and S. G. Rubin , A Diagonally Dominant Second-Order Accurate Implicit Scheme , Comp. Fluids , vol. 2 , no. 12 , pp. 207 , 1974 .
   Google Scholar
• M. Assato and M. J. S. de Lemos , Development of a Non-Linear Turbulence Model for Recirculating Flows Using Generalized Coordinates, ENCIT98 , Proc. 7th Braz. Cong. Eng. Th. Sci. , vol. 2 , pp. 1386 – 1391 , Rio de Janeiro, RJ, Nov. 3–6 , 1998 .
   Google Scholar
• M. Assato and M. J. S. de Lemos , Numerical Simulation of Turbulent Flow Through Axisymmetric Stenosis Using Linear and Non-Linear Eddy-Viscosity Models , Proc. 16th Brazilian Congress of Mechanical Engineering , Uberlândia/MG , Brazil , 2001 .
   Google Scholar
• M. Assato , M. H. J. Pedras , and M. J. S. de Lemos , Numerical Solution of Turbulent Channel Flow Past a Backward-Facing-Step with a Porous Insert Using Linear and Non-Linear k-ε Models, J. Porous Media , vol. 8, no. 1, pp. 13–29, 2005.
   Web of Science ®Google Scholar
• H. L. Stone , Iterative Solution of Implicit Approximations of Multi-Dimensional Partial Differential Equations , SIAM J. Num. Anal. , vol. 5 , pp. 530 – 558 , 1968 .
   Web of Science ®Google Scholar
• E. J. Braga and M. J. S. de Lemos , Numerical Simulation of Turbulent Flow in Small-Angle Diffusers and Contractions Using a New Wall Treatment and a Linear High Reynolds k-ε Model , Numer. Heat Transfer A , vol. 45 , no. 9 , pp. 911 – 933 , 2004 .
   Web of Science ®Google Scholar