Disturbances in a Wall Boundary Layer Introduced by an Array of Low-Intensity Vortices.
CASE WESTERN RESERVE UNIV CLEVELAND OHIO DEPT OF FLUID THERMAL AND AEROSPACE SCIENCES
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To acquire insights into the role of freestream turbulence on laminar-turbulent transition, the interaction between arrays of single-wavenumber vortices convected at the mean freestream velocity is studied analytically and numerically. The boundary value problem consists of a nonhomogeneous, partial differential equation with forcing function depending on the mean flow and the freestream disturbances. The Orr-Summerfeld linear operator appears with phase speed unity and real wavenumber. The mathematical system is solved numerically via expansion in Chebyshev polynomials. Disturbance velocities, vorticity, energy, pressure, and Reynolds stresses were obtained over a range of the wavenumber, Reynolds number, vortex position relative to the plate, and skewing angle. Results are discussed. Modified author abstract
- Fluid Mechanics