NDLI: On the stability of a time dependent boundary layer

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On the stability of a time dependent boundary layer

Content Provider	NASA Technical Reports Server (NTRS)
Author	Otto, S. R.
Copyright Year	1993
Description	The aim of this article is to determine the stability characteristics of a Rayleigh layer, which is known to occur when the fluid above a flat plate has a velocity imparted to it (parallel to the plate). This situation is intrinsically unsteady, however, as a first approximation we consider the instantaneous stability of the flow. The Orr-Sommerfeld equation is found to govern fixed downstream wavelength linear perturbations to the basic flow profile. By the solution of this equation, we can determine the Reynolds numbers at which the flow is neutrally stable; this quasisteady approach is only formally applicable for infinite Reynolds numbers. We shall consider the large Reynolds number limit of the original problem and use a three deck mentality to determine the form of the modes. The results of the two calculations are compared, and the linear large Reynolds number analysis is extended to consider the effect of weak nonlinearity in order to determine whether the system is subcritical or supercritical.
File Size	1398626
Page Count	42
File Format	PDF
Alternate Webpage(s)	http://archive.org/details/NASA_NTRS_Archive_19940012977
Archival Resource Key	ark:/13960/t9f52kq83
Language	English
Publisher Date	1993-09-01
Access Restriction	Open
Subject Keyword	Fluid Mechanics And Heat Transfer Orr-sommerfeld Equations Flat Plates Reynolds Number Parallel Plates Perturbation Unsteady Flow Flow Stability Time Dependence Flow Equations Flow Distribution Tollmien-schlichting Waves Nonlinearity Boundary Layer Stability Boundary Layers Boundary Layer Flow Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science
Content Type	Text
Resource Type	Technical Report

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