THE INFLUENCE OF LOCALIZED, NORMAL SURFACE OSCILLATIONS ON THE STEADY LAMINAR FLOW OVER A FLAT PLATE.
Final scientific rept.
MICHIGAN UNIV ANN ARBOR
Pagination or Media Count:
The steady, laminar flow of an incompressible fluid over a locally vibrating semi-infinite flat plate is analyzed. The problem is formulated in the co-ordinate system fixed to the plate. The formulation is simplified by considering the unsteady flow to be of the boundary layer type. The resulting equations for the unsteady boundary layer are linearized by means of a perturbation procedure. The first three approximations are solved by the integral method. It is found that the phase of skin friction in relation to the input disturbance is approximately zero, while that of heat transfer lags approximately pi2 radians. The time-averaged value of the skin friction is slightly greater than its steady value in the absence of oscillations. The time-averaged heat transfer, however, is slightly less than its corresponding steady value. It is also found that the localized oscillations increases the flow instability locally. The physical interpretation of the restraints on the analysis are discussed. Author
- Fluid Mechanics