1996
DOI: 10.1146/annurev.fl.28.010196.002133
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Linear Stability Theory Applied to Boundary Layers

Abstract: The objective of this review is to provide a critical evaluation of linear stability theory for wall-bounded shear flows, with an emphasis on results, not techniques. The results deal with applications to different flowfields related to aircraft systems. Because the flight condition is usually a low-disturbance environment, stability plays an important role in the transition process. Linear stability theory is not a new topic, so emphasis is placed on the most recent accomplishments.

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Cited by 361 publications
(52 citation statements)
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“…A greater understanding of these instabilities has led to the development of prediction methods that are based on the physics of transition. The e N method [3][4][5] is an example of such a method and is used to predict smooth-wall transition. The e N method has been extended to the hypersonic regime using the parabolized stability equations and used successfully to correlate transition [6].…”
mentioning
confidence: 99%
“…A greater understanding of these instabilities has led to the development of prediction methods that are based on the physics of transition. The e N method [3][4][5] is an example of such a method and is used to predict smooth-wall transition. The e N method has been extended to the hypersonic regime using the parabolized stability equations and used successfully to correlate transition [6].…”
mentioning
confidence: 99%
“…Dimensionless coordinates x = αx and y = y/δ and time t = tU ∞ /δ are used in Eqs. (1)- (6). The nature of pumping source Q is not specified in relaxation model (6), and the dependence of its power on temperature and density is ignored.…”
Section: Basic Equations and Range Of Investigationmentioning
confidence: 99%
“…In the case of equilibrium media, this problem was solved for both incompressible and compressible disturbances [1][2][3][4][5][6][7]. The following stages of transition to turbulence in an equilibrium boundary layer (BL) are identified.…”
Section: Introductionmentioning
confidence: 99%
“…Since disturbances at early stage are pretty weak, linear stability theory (LST) has been developed. 1 The basic idea behind LST is to introduce into the mean flow a small perturbation. Substitution into the Naiver-Stokes (N-S) equations followed by linearization about the base state leads to the linearized N-S equations governing the disturbance.…”
Section: Introductionmentioning
confidence: 99%
“…1 It is recognized that non-parallelism is more significant for oblique T-S waves 5,6 and cross-flow vortices. 7 Non-parallel-flow effects on the growth rate consist of two parts: (a) the direct contribution of the streamwise variation and the normal velocity of the mean flow, ∂ū/∂ x andv and (b) the influence of the streamwise distortion of the local eigenfunction.…”
Section: Introductionmentioning
confidence: 99%