Analysis of transitional flow in 3D geometries using a novel phenomenological model

Abstract A new phenomenological turbulence transition model is proposed. The model is based on the calculation of the pre-transitional u ′ v ′ ‾ due to mean flow shear. This is used for analysis on the complex flow patterns over three-dimensional geometries. The tested 3D cases are the 6:1 prolate-spheroid under three flow conditions and the transonic DLR-F5 wing test case. The obtained results are compared with the low-Reynolds turbulence model of Spalart–Allmaras and the empirical transition model, γ - R e θ . These show that the developed transition model is able to capture the flow turbulence transition features experimentally recorded.

[1]  G. B. Schubauer,et al.  Laminar-boundary-layer oscillations and transition on a flat plate ; NACA Technical Reports , 1948 .

[2]  C. Rumsey Apparent Transition Behavior of Widely-Used Turbulence Models , 2006 .

[3]  Keerati Suluksna,et al.  Calibrating the Gamma-Re_theta Transition Model for Commercial CFD , 2009 .

[4]  Andreas Krumbein,et al.  Automatic Transition Prediction for Three-Dimensional Configurations with Focus on Industrial Application , 2011 .

[5]  H. Olivier,et al.  Numerical investigation of unsteady wave phenomena for transonic airfoil flow , 2013 .

[6]  Emil Göttlich,et al.  Performance assessment limits in transonic 3D turbine stage blade rows using a mixing-plane approach , 2010 .

[7]  B. J. Abu-Ghannam,et al.  Natural Transition of Boundary Layers—The Effects of Turbulence, Pressure Gradient, and Flow History , 1980 .

[8]  José C. Páscoa,et al.  A hybrid pressure–density‐based algorithm for the Euler equations at all Mach number regimes , 2012 .

[9]  P. Bradshaw,et al.  Modeling of Flow Transition Using an Intermittency Transport Equation , 2000 .

[10]  Antonio Dumas,et al.  Fire-safe Airship System Design , 2012 .

[11]  Jelena Svorcan,et al.  Active boundary layer control in linear cascades using CFD and artificial neural networks , 2014 .

[12]  T. Esch,et al.  TRANSITION MODELLING BASED ON LOCAL VARIABLES , 2002 .

[13]  Antonio Dumas,et al.  MAAT – Promising innovative design and green propulsive concept for future airship's transport , 2014 .

[14]  Antonio Dumas,et al.  A critical review of propulsion concepts for modern airships , 2012 .

[15]  P. Dechaumphai,et al.  Correlations for modeling transitional boundary layers under influences of freestream turbulence and pressure gradient , 2009 .

[16]  Roger L. Simpson,et al.  Measurement of Three-Dimensional Crossflow Separation , 1998 .

[17]  A. M. Savill,et al.  Evaluating turbulence model predictions of transition , 1993 .

[18]  Wolfgang Rodi,et al.  Calculation of wake-induced unsteady flow in a turbine cascade , 1992 .

[19]  José C. Páscoa,et al.  High Altitude Transitional Flow Computation for a Propulsion System Nacelle of MAAT Airship , 2013 .

[20]  Florian R. Menter,et al.  Correlation-Based Transition Modeling for Unstructured Parallelized Computational Fluid Dynamics Codes , 2009 .

[21]  Robin Blair Langtry,et al.  A correlation-based transition model using local variables for unstructured parallelized CFD codes , 2011 .

[22]  Keerati Suluksna,et al.  Assessment of intermittency transport equations for modeling transition in boundary layers subjected to freestream turbulence , 2008 .

[23]  E. Dick,et al.  Modeling of Laminar-Turbulent Transition for High Freestream Turbulence , 2001 .

[24]  P. Durbin An intermittency model for bypass transition , 2012 .

[25]  J. V. Ingen A suggested semi-empirical method for the calculation of the boundary layer transition region , 1956 .

[26]  A. Krumbein,et al.  Correlation-Based Transition Transport Modeling for Three-Dimensional Aerodynamic Configurations , 2012 .

[27]  J. V. Ingen The eN method for transition prediction: Historical review of work at TU Delft , 2008 .

[28]  Mimicking Natural Laminar to Turbulent Flow Transition: A Systematic CFD Study Using PAB3D , 2005 .

[29]  E. R. V. Driest,et al.  BOUNDARY LAYER TRANSITION--FREE-STREAM TURBULENCE AND PRESSURE GRADIENT EFFECTS, , 1963 .

[30]  José C. Páscoa,et al.  A pressure‐based method with AUSM‐type fluxes for MHD flows at arbitrary Mach numbers , 2013 .

[31]  S. Deck,et al.  Transition and Turbulence Modeling , 2011 .

[32]  José C. Páscoa,et al.  Two-dimensional numerical modeling of interaction of micro-shock wave generated by nanosecond plasma actuators and transonic flow , 2014, J. Comput. Appl. Math..

[33]  Daniel Arnal,et al.  A transition prediction model for boundary layers subjected to free-stream turbulence , 2007 .

[34]  R. Mayle,et al.  Heat Transfer Committee and Turbomachinery Committee Best Paper of 1996 Award: The Path to Predicting Bypass Transition , 1997 .

[35]  G. B. Schubauer,et al.  Laminar-boundary-layer oscillations and transition on a flat plate , 1947 .

[36]  R. E. Mayle,et al.  The 1991 IGTI Scholar Lecture: The Role of Laminar-Turbulent Transition in Gas Turbine Engines , 1991 .

[37]  P. Spalart A One-Equation Turbulence Model for Aerodynamic Flows , 1992 .

[38]  Christopher J. Roy,et al.  Verification and validation of Reynolds-averaged Navier–Stokes turbulence models for external flow , 2014 .

[39]  F. Menter Two-equation eddy-viscosity turbulence models for engineering applications , 1994 .

[40]  Andreas Krumbein,et al.  eN transition prediction for 3D wing configurations using database methods and a local, linear stability code , 2008 .