Instability of plane parallel flows
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In this chapter the essentials of the linear-stability analysis and corresponding experimental results for such truly parallel internal flows as the plane Couette and the plane Poiseuille flow are presented. For an interested reader, a set of simple MATLAB functions and exercises are provided helping in understanding various physical and computational aspects of linear stability for shear flows.
KeywordsReynolds Number Linear Stability Critical Reynolds Number Linear Stability Theory Neutral Stability Curve
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- Iordanskii SV, Kulikovskii AG (1965) On absolute stability of some plane parallel flows at high Reynolds numbers. Zh Èksper Teoret Fiz 49(10):1326, In Russian Google Scholar
- Kozlov VV, Ramazanov SP (1982) An experimental investigation of the stability of Poiseuille flow. Fluid Mech – Soviet Res 11(4):41–46 Google Scholar
- Sherlin GC (1960) Behaviour of isolated disturbances superimposed on laminar flow in a rectangular pipe. J Res N B S, Sec A, Phys and Chem 64A:281–289 Google Scholar