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      A critical-layer framework for turbulent pipe flow

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      Journal of Fluid Mechanics
      Cambridge University Press (CUP)

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          Hydrodynamic stability without eigenvalues.

          Fluid flows that are smooth at low speeds become unstable and then turbulent at higher speeds. This phenomenon has traditionally been investigated by linearizing the equations of flow and testing for unstable eigenvalues of the linearized problem, but the results of such investigations agree poorly in many cases with experiments. Nevertheless, linear effects play a central role in hydrodynamic instability. A reconciliation of these findings with the traditional analysis is presented based on the "pseudospectra" of the linearized problem, which imply that small perturbations to the smooth flow may be amplified by factors on the order of 10(5) by a linear mechanism even though all the eigenmodes decay monotonically. The methods suggested here apply also to other problems in the mathematical sciences that involve nonorthogonal eigenfunctions.
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            Stability and Transition in Shear Flows

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              The dynamics of coherent structures in the wall region of a turbulent boundary layer

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                Author and article information

                Journal
                applab
                Journal of Fluid Mechanics
                J. Fluid Mech.
                Cambridge University Press (CUP)
                0022-1120
                1469-7645
                September 2010
                July 1 2010
                September 2010
                : 658
                : 336-382
                Article
                10.1017/S002211201000176X
                352aab3c-78f8-4b89-949c-217eb8456605
                © 2010
                History

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