Journal article
The effect of mainflow transverse velocities in linear stability theory
Journal of fluid mechanics, v 50(4), pp 741-750
29 Dec 1971
Abstract
In studying the stability of the boundary layer with surface mass injection, a generalized version of the Orr–Sommerfeld equation was derived which takes account of the transverse velocity component in the mainflow. The new terms in the generalized Orr–Sommerfeld equation are inversely proportional to the Reynolds number. The resulting eigenvalue problem was solved numerically for a wide range of values of the mass injection intensity. It was found that the critical Reynolds number (based on the distance from the leading edge) decreases with increasing mass injection. The deviations between the critical Reynolds numbers from the generalized and conventional Orr–Sommerfeld equations have a different sign at low injection intensities from that at high injection intensities.
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Details
- Title
- The effect of mainflow transverse velocities in linear stability theory
- Creators
- T. S. Chen - Missouri University of Science and TechnologyE. M. Sparrow - University of MinnesotaF. K. Tsou - Drexel University
- Publication Details
- Journal of fluid mechanics, v 50(4), pp 741-750
- Publisher
- Cambridge University Press
- Number of pages
- 10
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- [Retired Faculty]
- Web of Science ID
- WOS:A1971L230700008
- Scopus ID
- 2-s2.0-0001513193
- Other Identifier
- 991019182658004721