Abstract
The Orr-Sommerfeld equation was used to estimate the influence of free-stream vorticity on the stability of incompressible boundary-layer flow. The primary flow velocity profiles were obtained using second-order boundary-layer theory. Self-similar flows with positive and negative pressure gradients and free-stream vorticities were considered. The results show that positive vorticity at the edge of the boundary layer is stabilizing. The free-stream vorticity influences the critical Reynolds numbers significantly when the pressure gradient is small, and influences the range of unstable wave lengths when the pressure gradient is large. The present results indicate that small amounts of vorticity in the free stream might have a large influence on transition.
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