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Nonlinear Theoretical and Computational Analysis of Fluid Flows

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DNS of Wall-Bounded Turbulent Flows

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Abstract

Morkovin (Transition to turbulence, ASME FED Publication, USA, vol 114, pp 1–12, 1991, [33]) classified transition to turbulence in to two main types: (i) The classical primary instability route whose onset is marked along with the presence of TS waves (as in ZPGBL) and (ii) the bypass routes, which encompass all other possible transition scenarios that do not exhibit TS waves. Unfortunately, this is too simplistic a classification scheme for the reasons given in the introduction. Moreover, the central theme of this chapter, is to show some typical bypass transition events shown experimentally and the corresponding theoretical explanations of these events. Of special interest is the development of two nonlinear theories of receptivity, derived from Navier–Stokes equation, without making any assumptions.

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Authors and Affiliations

  1. Department of Aerospace Engineering, Indian Institute of Technology Kanpur, Kanpur, Uttar Pradesh, India

    Tapan K. Sengupta

  2. Department of Mechanical Engineering, Indian Institute of Technology Jammu, Jammu, Jammu & Kashmir, 181221, India

    Swagata Bhaumik

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Sengupta, T.K., Bhaumik, S. (2019). Nonlinear Theoretical and Computational Analysis of Fluid Flows. In: DNS of Wall-Bounded Turbulent Flows. Springer, Singapore. https://doi.org/10.1007/978-981-13-0038-7_4

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