This content is not included in
your SAE MOBILUS subscription, or you are not logged in.
Navier-Stokes Computations of Transition to Turbulent Flow Around Airfoils
Annotation ability available
Sector:
Language:
English
Abstract
Numerical solutions of the Reynolds-averaged Navier-Stokes equations were obtained with the two-equation K-ϵ turbulence model. Considering the low-Reynolds-number effect in the closed vicinity of a solid boundary, a stream function and vorticity method was developed to consider both the laminar and turbulent stresses throughout the two-dimensional, incompressible flowfield of any arbitrary geometry. At a low Reynolds number (Re = 30), the initially imposed disturbances around an airfoil are damped out; the flow is laminar. At a moderately high Reynolds number (Re = 1000), instability of laminar flow is obtained by exhibiting cyclic patterns in the stream function and vorticity distributions. Nevertheless, only laminar stress occurs in the entire flowfield. At a higher Reynolds number (Re = 106), turbulent stress, which is about three orders of magnitude larger than the laminar stress, occurs at a certain distance downstream of the leading edge and in the wake region. The location, where the turbulent stress begins to increase is considered as the point of transition.
Topic
Citation
Lee, S. and Chen, C., "Navier-Stokes Computations of Transition to Turbulent Flow Around Airfoils," SAE Technical Paper 901808, 1990, https://doi.org/10.4271/901808.Also In
References
- Kordulla, W. “Numerical Simulation of the Transonic DFVLR-F5 Wing Experiment” 22 Notes on Numerical Fluid Mechanics Vieweg, Braunschweig 1988
- Donaldson, C. duP. “A Computer Study of an Analytical Model of Boundary-Layer Transition” AIAA J. 7 271 278 1969
- Baldwin, B. S. Lomax, H. “Thin Layer Approximation and Algebraic Model for Separated Turbulent Flows” AIAA Paper 78-257 1978
- Cole, D. “The Law of the Wake in Turbulent Boundary” J. Fluid Mechanics 1 191 194 1956
- van Driest, E. R. “On Turbulent Flow Near a Wall” J. Aeronautical Sciences 23 1007 1101 1956
- Lee, S. C. Harsha, P. T. “Use of Turbulent Kinetic Energy in Free Mixing Studies” AIAA J. 8 1026 1032 1970
- Lee, S. C. “Turbulent Mixing of Coaxial Jets Between Hydrogen and Air” Int'l J. Hydrogen Energy 11 807 816 1986
- Launder, B. E. Spalding, D. B. “The Numerical Computation of Turbulent Flows” Computer Methods in Applied Mechanics and Engineering 3 269 289 1974
- Launder, B. E. Reece, G. J. Rodi, W. “Progress in the Development of a Reynolds-Stress Turbulence Closure” J. Fluid Mechanics 65 537 566 1975
- Himeno, R. Fujitani, K. Takagi, M. “Simulation of Unsteady 3-Dimensional Flows around an Automobile and its Visualization” Int'l Seminar on Supercomputing in Fluid Flows Lowell MA, USA 3-5 October 1989
- Patankar, S. V. Numerical Heat Transfer and Fluid Flow Hemisphere 1980
- Launder, B. E. Sharma, B. I “Application of the Energy dissipation Model of Turbulence to the Calculation of Flow Near a Rotating Disc” Letter in Heat and Mass Transfer 1 1974 131 138
- Thompson, J. F. Thames, F. C. Mastin, C. M. “Automatic Numerical Generation of Body-fitted Curvilinear Coordinate System for Fields containing Any Number of Arbitrary Two-Dimensional Bodies” J. Computational Physics 15 299 319 1974
- Patel, V. C. Rodi, W. Scheuerer, G. “Turbulence Models for Near-Wall and Low-Reynolds Flows: A Review” AIAA J. 23 1308 1319 1985
- Lugt, H. J. Haussling, H. J. “Laminar Flow Past an Arbitrary Accelerated Elliptic Cylinder at 45° Incidence” J. Fluid Mechanics 65 711 734 1974
- Finaish, F. Freymuth, P. 4 55 62 1988
- Sastry, M. S. “Turbulent Wake Developed Behind Streamlined Bodies” University of Iowa 1981