THREE-DIMENSIONAL LAMINAR INSTABILITY
Abstract
Under the restriction of small amplitude so that linear theory is valid, the problem of a localized three-dimensional disturbance in a laminar boundary layer with a Blasius velocity profile is examined. To study the growth and diffraction of a spot-like disturbance, the initial disturbance is synthesized from all waves whose propagation velocities and amplification rates follow from the classical two-dimensional theory by Squire's generalization. The asymptotic behavior is also predicted, indicating the ultimate fate of the disturbance; this shows that the maximum rate of growth varies as (e to the power t/t), t being time, expressed in dimensional form. The gradual approach to the two-dimensional TollmienSchlichting wave train is seen as the wave packet spreads laterally as the square root of it. For values of time between initial and final periods, exact numerical res lts were obtained by the use of an IBM 709 electronic computer.
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1960
- Accession Number
- AD0265909
Entities
People
- William O. Jr. Criminale
Organizations
- AGARD