Abstract
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.
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References
References
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Further Reading
Davies SJ, White CM (1928) An experimental study of the flow of water in pipe of rectangular section. Proc R Soc Lond A 19:92–107
Narayanan MA, Narayana T (1967) Some studies on transition from laminar to turbulent flow in a two-dimensional channel. Z Angew Math Phys 18:642–650
Patel VC, Head MR (1969) Some observations on skin friction and velocity profiles in fully developed pipe and channel flows. J Fluid Mech 38:181–201
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
Trefethen LN (2000) Spectral methods in Matlab. Society for Industrial and Applied Mathematics, Philadelphia, USA
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Boiko, A.V., Dovgal, A.V., Grek, G.R., Kozlov, V.V. (2012). Instability of plane parallel flows. In: Physics of Transitional Shear Flows. Fluid Mechanics and Its Applications, vol 98. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-2498-3_3
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DOI: https://doi.org/10.1007/978-94-007-2498-3_3
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-2497-6
Online ISBN: 978-94-007-2498-3
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