Stability of the Laminar Parabolic Flow of a Viscous Fluid between Parallel Fixed Walls

Asymptotic expressions are derived for the characteristic values

C

of two-dimensional disturbances of the parabolic flow in the limit of small wave numbers

α

and large values of

α R

, where

R

denotes Reynolds number. For the first mode we get

C_{1} = 1.617 e^{\frac{i π}{6}} {(α R)}^{- \frac{1}{3}} + α^{2} [. 395 - . 883 e^{\frac{i π}{6}} {(α R)}^{- \frac{1}{3}} + (\frac{i}{α R})] + 0 (α^{4})

This publication has 4 references indexed in Scilit:

Laminar Boundary-Layer Oscillations and Stability of Laminar Flow
Journal of the Aeronautical Sciences, 1947
Fluid motion between parallel planes. Dynamical stability
Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1946
On the Stability Problem in Hydrodynamics, II
Journal of the Aeronautical Sciences, 1938
On the Stability Problem in Hydrodynamics
Mathematical Proceedings of the Cambridge Philosophical Society, 1936