Mechanisms and passive control of crossflow-vortex-induced transition in a three-dimensional boundary layer

Crossflow-vortex-induced laminar breakdown in a three-dimensional flat-plate boundary-layer flow is investigated in detail by means of spatial direct numerical simulations. The base flow is generic for an infinite swept wing, with decreasing favourable chordwise pressure gradient. First, the downstream growth and nonlinear saturation states initiated by a crossflow-vortex-mode packet as well as by single crossflow-vortex modes with various spanwise wavenumbers are simulated. Second, the secondary instability of the flow induced by the saturated crossflow vortices is scrutinized, clearly indicating the convective nature of the secondary instability and strengthening knowledge of the conditions for its onset. Emphasis is on the effect of crossflow-vortex-mode packets and of the spanwise vortex spacing on the secondary stability properties of the saturation states. Saturated uniform crossflow vortices initiated by single crossflow-vortex modes turn out to be less unstable than vortices initiated by a packet of vortex modes, and closely spaced saturated vortices are even stable. Third, we investigate the transition control strategy of upstream flow deformation by appropriate steady nonlinear vortex modes as applied in wind tunnel experiments at the Arizona State University. A significant transition delay is shown in the base flow considered here, and the underlying mechanisms are specified.

[1]  Jinhee Jeong,et al.  On the identification of a vortex , 1995, Journal of Fluid Mechanics.

[2]  Helen L. Reed,et al.  Computational Fluid Dynamics Validation Issues in Transition Modeling , 1998 .

[3]  Helen L. Reed,et al.  Computations in nonlinear saturation of stationary crossflow vortices in a swept-wing boundary layer , 1996 .

[4]  Mujeeb R. Malik,et al.  Crossflow disturbances in three-dimensional boundary layers: nonlinear development, wave interaction and secondary instability , 1994, Journal of Fluid Mechanics.

[5]  Werner Koch,et al.  On the spatio-temporal stability of primary and secondary crossflow vortices in a three-dimensional boundary layer , 2002, Journal of Fluid Mechanics.

[6]  Yasuaki Kohama,et al.  Stability characteristics of stationary crossflow vortices in three-dimensional boundary layer , 1999 .

[7]  Tim S. Haynes,et al.  Simulation of swept-wing vortices using nonlinear parabolized stability equations , 2000, Journal of Fluid Mechanics.

[8]  Breakdown of a Crossflow Vortex in a Three-Dimensional Boundary Layer , 1997 .

[9]  William S. Saric,et al.  Nonlinear Stability and Transition in 3-D Boundary Layers , 1998 .

[10]  William S. Saric,et al.  Review of Swept-Wing Transition , 1997 .

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

[12]  Hermann F. Fasel,et al.  Outflow Boundary Conditions for Spatial Navier-Stokes Simulations of Transition Boundary Layers , 1993 .

[13]  Meelan Choudhari,et al.  Secondary instability of crossflow vortices and swept-wing boundary-layer transition , 1999, Journal of Fluid Mechanics.

[14]  William S. Saric,et al.  Leading-Edge Roughness as a Transition Control Mechanism , 1998 .

[15]  William S. Saric,et al.  A high-frequency, secondary instability of crossflow vortices that leads to transition , 1991 .

[16]  H. Bippes,et al.  Basic experiments on transition in three-dimensional boundary layers dominated by crossflow instability , 1999 .

[17]  S. Balachandar,et al.  Secondary instability in rotating-disk flow , 1992, Journal of Fluid Mechanics.

[18]  Jean-Marc Chomaz,et al.  Absolute/convective instabilities in the Batchelor vortex: a numerical study of the linear impulse response , 1998, Journal of Fluid Mechanics.

[19]  William S. Saric,et al.  Experiments in nonlinear saturation of stationary crossflow vortices in a swept-wing boundary layer , 1996 .

[20]  Mark S. Reibert,et al.  Effect of Isolated Micron-Sized Roughness on Transition in Swept-Wing Flows , 1999 .

[21]  William S. Saric,et al.  Application of Variable Leading-Edge Roughness for Transition Control. on Swept Wings , 2000 .

[22]  R. Lingwood On the impulse response for swept boundary-layer flows , 1997, Journal of Fluid Mechanics.

[23]  Dan S. Henningson,et al.  Secondary instability of cross-flow vortices in Falkner–Skan–Cooke boundary layers , 1998, Journal of Fluid Mechanics.

[24]  Stefan Hein,et al.  Nonlinear equilibrium solutions in a three-dimensional boundary layer and their secondary instability , 2000, Journal of Fluid Mechanics.

[25]  Mark S. Reibert,et al.  Control of Transition in 3-D Boundary Layers , 1999 .

[26]  Erik Janke,et al.  On the Secondary Instability of Three-Dimensional Boundary Layers , 2000 .

[27]  H. Fasel,et al.  Spatial Direct Numerical Simulation of Transition in a Three-Dimensional Boundary Layer , 1995 .

[28]  Markus J. Kloker,et al.  A Robust High-Resolution Split-Type Compact FD Scheme for Spatial Direct Numerical Simulation of Boundary-Layer Transition , 1997 .

[29]  Edward B. White,et al.  Stages of Swept-Wing Transition , 2001 .