Accession Number : ADA094078


Title :   A Nonlinear Stability Theory for Plane Boundary-Layer Flows


Descriptive Note : Technical rept.,


Corporate Author : DYNAMICS TECHNOLOGY INC TORRANCE CA


Personal Author(s) : Kubota,Toshi ; Chan,Tony ; Liu,A K ; Ozgur,Suphi


Full Text : http://www.dtic.mil/dtic/tr/fulltext/u2/a094078.pdf


Report Date : Jul 1980


Pagination or Media Count : 91


Abstract : A nonlinear stability theory for two-dimensional disturbances in plane boundary layers has been developed. The mathematical formulation and a discussion of the numerical method and results are presented. The basic assumptions made in the formulation are: the amplitude of disturbances is small, the rate of change of the undisturbed boundary layer with streamwise distance is small, and the rate of amplification of disturbances is small. The computation was checked against published results for plane Poiseuille flow and the Orr-Sommerfeld solutions for Blasius flow and a numerical solution of Navier-Stokes flow along a flat plate. The present theory agrees well with published results for these flow fields. (Author)


Descriptors :   *NONLINEAR ANALYSIS , *BOUNDARY LAYER FLOW , STABILITY , HARMONICS , TURBULENT FLOW , FLOW FIELDS , FLOW RATE , MATHEMATICAL ANALYSIS , TWO DIMENSIONAL FLOW , BOUNDARY LAYER TRANSITION , AMPLITUDE , NAVIER STOKES EQUATIONS , FREE STREAM , LAMINAR FLOW , REYNOLDS NUMBER , FLAT PLATE MODELS


Subject Categories : Numerical Mathematics
      Fluid Mechanics


Distribution Statement : APPROVED FOR PUBLIC RELEASE