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NASA Scientific and Technical Aerospace Reports

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The effect of far-field boundary conditions on the evolution of a finite-amplitude two-dimensional wave in the Blasius<br />

boundary layer is assessed. With the use of the parabolized stability equations (PSE) theory for the numerical computations,<br />

either asymptotic, Dirichlet, Neumann or mixed boundary conditions are imposed at various distances from the wall. The<br />

results indicate that asymptotic <strong>and</strong> mixed boundary conditions yield the most accurate mean-flow distortion <strong>and</strong> unsteady<br />

instability modes in comparison with the results obtained with either Dirichlet or Neumann conditions.<br />

Author<br />

Boundary Conditions; Boundary Layer Transition; Far Fields; Blasius Flow<br />

20040111995 Manchester Univ., UK<br />

The Nonlinear Evolution of the Inviscid Secondary Instability of Streamwise Vortex Structures<br />

Blackaby, Nicholas D.; Hall, Philip; [1994]; 21 pp.; In English<br />

Contract(s)/Grant(s): NAS1-19480; No Copyright; Avail: CASI; A03, Hardcopy<br />

The weakly nonlinear evolution of an inviscid marginally unstable wave growing on a boundary layer supporting a<br />

streamwise vortex structure is investigated. The nonlinear growth of the wave is found to be controlled by the diffusion layer<br />

located at the edge of the critical layer associated with the wave. The evolution equation is found to depend on the upstream<br />

history of the wave <strong>and</strong> the solution of the equation suggests that the wave either restructures the mean state so as to make<br />

it stable or develops a singularity at a finite distance downstream of the point of neutral stability.<br />

Author<br />

Inviscid Flow; Nonlinearity; Stability; Vortices<br />

20040111996 <strong>NASA</strong> Langley Research Center, Hampton, VA, USA<br />

Active Control of Instabilities in Laminar Boundary-Layer Flow, Part 2, Use of Sensors <strong>and</strong> Spectral Controller<br />

Joslin, Ronald D.; Nicolaides, R. A.; Erlebacher, Gordon; Hussaini, M. Yousuff; Gunzburger, Max D.; [1994]; 10 pp.; In<br />

English<br />

Contract(s)/Grant(s): NAS1-19480; No Copyright; Avail: CASI; A02, Hardcopy<br />

This study focuses on the suppression of instability growth using an automated active-control technique. The evolution<br />

of 2D disturbances that are spatially growing in a flat-plate boundary layer are computed with a spatial DNS code. A controller<br />

receives wall sensor information (pressure or shear) as input <strong>and</strong> provides a signal that controls an actuator response as output.<br />

The control law assumes that wave cancellation is valid. The results indicate that a measure of wave cancellation can be<br />

obtained for small- <strong>and</strong> large-amplitude instabilities without feedback; however, feedback is required to optimize the control<br />

amplitude <strong>and</strong> phase for exact wave cancellation.<br />

Author<br />

Active Control; Automatic Control; Boundary Layer Flow; Laminar Boundary Layer; Stability<br />

20040111998 <strong>NASA</strong> Langley Research Center, Hampton, VA, USA<br />

Crossflow-Vortex Breakdown on Swept Wings: Correlation of Nonlinear Physics<br />

Joslin, R. D.; Streett, C. L.; [1994]; 29 pp.; In English; No Copyright; Avail: CASI; A03, Hardcopy<br />

The spatial evolution of cross flow-vortex packets in a laminar boundary layer on a swept wing are computed by the direct<br />

numerical simulation of the incompressible Navier- Stokes equations. A wall-normal velocity distribution of steady suction<br />

<strong>and</strong> blowing at the wing surface is used to generate a strip of equally spaced <strong>and</strong> periodic disturbances along the span. Three<br />

simulations are conducted to study the effect of initial amplitude on the disturbance evolution, to determine the role of<br />

traveling cross ow modes in transition, <strong>and</strong> to devise a correlation function to guide theories of transition prediction. In each<br />

simulation, the vortex packets first enter a chordwise region of linear independent growth, then, the individual packets coalesce<br />

downstream <strong>and</strong> interact with adjacent packets, <strong>and</strong>, finally, the vortex packets nonlinearly interact to generate inflectional<br />

velocity profiles. As the initial amplitude of the disturbance is increased, the length of the evolution to breakdown decreases.<br />

For this pressure gradient, stationary modes dominate the disturbance evolution. A two-coeffcient function was devised to<br />

correlate the simulation results. The coefficients, combined with a single simulation result, provide sufficient information to<br />

generate the evolution pattern for disturbances of any initial amplitude.<br />

Author<br />

Cross Flow; Nonlinearity; Swept Wings; Vortex Breakdown<br />

20040111999 <strong>NASA</strong> Langley Research Center, Hampton, VA, USA<br />

Metamorphosis of a Hairpin Vortex into a Young Turbulent Spot<br />

Singer, Bart A.; Joslin, Ronald D.; March 17, 1995; 61 pp.; In English<br />

Contract(s)/Grant(s): NAS1-20059; No Copyright; Avail: CASI; A04, Hardcopy<br />

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