Variable N-Factor Method for Transition Prediction in Three-Dimensional Boundary Layers

Linear amplitude methods are presented for estimating the location of transition caused by crossflow instabilities, intended for moderate- to low-turbulence environments. A linear amplitude-based method combines receptivity, linear growth, and an amplitude correlation for predicting transition. Information about the model surface finish (and/or suction distribution) and the freestream disturbance environment accounted for through the receptivity process. The variable N-factor method is presented as a limiting case, following simplifying assumptions about the receptivity. Transition N factors are presented as a function of the surface roughness

[1]  M. E. Goldstein,et al.  Boundary-Layer Receptivity to Long-Wave Free-Stream Disturbances , 1989 .

[2]  J. Crouch,et al.  Receptivity of three-dimensional boundary layers , 1993 .

[3]  B. N. Nield.  An overview of the Boeing 777 high lift aerodynamic design , 1995 .

[4]  J. Crouch,et al.  Theoretical studies on the receptivity of boundary layers , 1994 .

[5]  Craig L. Streett,et al.  Boundary layer receptivity phenomena in three-dimensional and high-speed boundary layers , 1990 .

[6]  Craig L. Streett,et al.  Theoretical prediction of boundary-layer receptivity , 1994 .

[7]  Geza Schrauf,et al.  LARGE-SCALE LAMINAR FLOW TESTS EVALUATED WITH LINEAR STABILITY THEORY , 2001 .

[8]  M. R. Malik,et al.  Linear Stability of Three-Dimensional Boundary Layers: Effects of Curvature and Non-Parallelism , 1993 .

[9]  Steven P. Schneider,et al.  Effects of High-Speed Tunnel Noise on Laminar-Turbulent Transition , 2000 .

[10]  H. Deyhle,et al.  Disturbance growth in an unstable three-dimensional boundary layer and its dependence on environmental conditions , 1996, Journal of Fluid Mechanics.

[11]  William S. Saric,et al.  Effect of micron-sized roughness on transition in swept-wing flows , 1993 .

[12]  Shohei Takagi,et al.  Observation of traveling waves in the three-dimensional boundary layer along a yawed cylinder , 1994 .

[13]  R. Wlezien.  Measurement of acoustic receptivity , 1994 .

[14]  D. I. A. Poll,et al.  Some observations of the transition process on the windward face of a long yawed cylinder , 1985, Journal of Fluid Mechanics.

[15]  L. Mack,et al.  Transition prediction and linear stability theory , 1977 .

[16]  R. Narasimha,et al.  A low-order theory for stability of non-parallel boundary layer flows , 1997, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[17]  Jamal A. Masad,et al.  Transition in flow over a swept cylinder: Correlation with experimental data , 1996 .

[18]  L. Ng.  Estimating the Laminar/Turbulent Transition Location in Three-Dimensional Boundary Layers for CFD Applications , 2001 .

[19]  P. Spalart,et al.  Linear and nonlinear stability of the Blasius boundary layer , 1992, Journal of Fluid Mechanics.

[20]  F. Bertolotti.  Linear and nonlinear stability of boundary layers with streamwise varying properties , 1991 .

[21]  J. D. Crouch,et al.  Roughness-induced receptivity to crossflow vortices on a swept wing , 1999 .

[22]  Kazuhiro Kusunose,et al.  Prediction of transition location for a 2-D Navier-Stokes solver for multi-element airfoil configurations , 1994 .

[23]  D. Arnal,et al.  Linear Stability Theory Applied to Boundary Layers , 1996 .

[24]  H. Bippes,et al.  Experimental Study of Instability Modes in a Three-dimensional Boundary Layer. , 1987 .

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

[26]  T. Herbert.  Boundary-layer transition - Analysis and prediction revisited , 1991 .

[27]  L. Mack,et al.  Stability of Three-Dimensional Boundary Layers on Swept Wings at Transonic Speeds , 1989 .

[28]  Tim S. Haynes,et al.  Numerical Simulation of Swept-Wing Vortices Using Nonlinear Parabolized Stability Equations , 1997 .