Abstract
This chapter presents the basics for understanding the laminar-turbulent transition and prepares the reader for understanding of the physics of turbulent flow that follows this chapter. Stability of laminar flows, laminar-turbulent transition, stability of small disturbances, the orr-sommerfeld stability equation, its eigenvalue problem, its numerical solution. A subsection treats the physics of steady intermittent flow and provides the criteria for turbulent/non-turbulent decisions, modeling of intermittency zero pressure gradient. This is followed by the identification of intermittent behavior of periodic unsteady flows. The modeling of intermittency for periodic unsteady flow and its implementation into the Navier Stokes equations, the averaging of the Reynolds equation concludes this chapter.
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Notes
- 1.
The superscript “\(\prime \)” pertains to stochastic fluctuations in contrast to “\(\sim \)” used in Sect. 8.3 that stands for deterministic disturbance.
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Schobeiri, M.T. (2022). Laminar-Turbulent Transition. In: Advanced Fluid Mechanics and Heat Transfer for Engineers and Scientists. Springer, Cham. https://doi.org/10.1007/978-3-030-72925-7_8
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DOI: https://doi.org/10.1007/978-3-030-72925-7_8
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