The Effect Of Mainflow Transverse Velocities In Linear Stability Theory
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. © 1971, Cambridge University Press. All rights reserved.
T. S. Chen et al., "The Effect Of Mainflow Transverse Velocities In Linear Stability Theory," Journal of Fluid Mechanics, vol. 50, no. 4, pp. 741 - 750, Cambridge University Press, Dec 1971.
The definitive version is available at https://doi.org/10.1017/S0022112071002866
Mechanical and Aerospace Engineering
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29 Dec 1971