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Tuesday, May 5, 2020 | History

2 edition of Linear and nonlinear PSE for compressible boundary layers found in the catalog.

Linear and nonlinear PSE for compressible boundary layers

Linear and nonlinear PSE for compressible boundary layers

  • 208 Want to read
  • 4 Currently reading

Published by National Aeronautics and Space Administration, Langley Research Center, National Technical Information Service, distributor in Hampton, Va, [Springfield, Va .
Written in English

    Subjects:
  • Boundary layer.,
  • Stability.

  • Edition Notes

    StatementChau-Lynn Chang ... [et al.].
    SeriesICASE report -- no. 93-70., NASA contractor report -- 191537., NASA contractor report -- NASA CR-191537.
    ContributionsChang, Chau-Lynn., Langley Research Center.
    The Physical Object
    FormatMicroform
    Pagination1 v.
    ID Numbers
    Open LibraryOL17680842M

    ABSTRACT:The parabolized stability equation (PSE) method has been proven to be a useful and convenient tool for the investigation of the stability and transition problems of boundary r, in its original formulation, for nonlinear problems, the complex wave number of each Fourier mode is determined by the so-called phase-locked rule, which results in non-self-consistency in the.   Chang, C. The Langley stability and transition analysis code (LASTRAC): LST, linear & nonlinear PSE for 2-D, axisymmetric, and infinite swept wing boundary layers. AIAA Paper Chang, C. a The langley stability and .

    CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): The primary stability of incompressible three-dimensional boundary layers is investigated using the Parabolized Stability Equations (PSE). We compute the evolution of stationary and traveling disturbances in the linear and nonlinear region prior to transition. As model problems, we choose Swept Hiemenz Flow and the. obtained by solving the boundary layer equations for the measured pressure distribution. Both linear and nonlinear results show very good agreement with the experiment. Key words. PSE, crossflow instability, 3D boundary layers Subject classification. Fluid Dynamics 1. Introduction. The transition process without bypass in a three-dimensional boundary layer flow can be described by five main by: 2.

    The approach captures nonparallel effects and has opened new avenues to the analysis of the spatial growth of disturbances in slowly varying shear flows such as boundary layers, jets, and far wakes. Both linear and nonlinear forms of the PSE exist; see, e.g., for a survey of differences. The nonlinear PSE account for interactions between modes Cited by: Example Problem: Compressible Boundary Layer For an example of a two-point boundary problem we will look at the equations that characterize a steady gas flow over a flat plate. Every gas is subject to viscous effects, the ability of one molecule of the gas to transfer momentum or .


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Linear and nonlinear PSE for compressible boundary layers Download PDF EPUB FB2

Results indicate that the effect of boundary-layer growth is important for linear disturbances. Nonlinear calculations are performed for various Mach numbers.

COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus.

Compressible stability of growing boundary layers is studied by numerically solving the partial differential equations under a parabolizing approximation. The resulting parabolized stability equations (PSE) account for nonparallel as well as nonlinear effects. Compressible stability of growing boundary layers is studied by numerically solving the partial differential equations under a parabolizing approximation.

The resulting parabolized stability equations (PSE) account for nonparallel as well as nonlinear effects. Evolution of disturbances in compressible flat-plate boundary layers are studied for freestream Mach numbers ranging from 0 to The resulting parabolized stability equations (PSE) account for nonparallel as well as nonlinear effects.

Evolution of disturbances in compressible flat-plate boundary layers are studied for freestream Mach numbers ranging from 0 to Results indicate that the effect of boundary-layer growth is important for linear disturbances.

The present work is the first attempt to carry out non-linear stability analysis of boundary layer over a hump by using PSE to the authors’ knowledge.

Non-linear PSE of the present study is briefly described and then validation of the present code is provided. The Cited by: Linear and nonlinear stability of compressible growing boundary layers is studied using parabolized stability equations (PSE). Linear PSE calculations are performed for Mach and plate-plate flow, and the results are compared with the predictions of the multiple-scales approach.

A highly accurate finite-difference PSE code has been developed to investigate the stability analysis of incompressible boundary layers over a flat plate. The PSE equations are derived in terms of primitive variables and are solved numerically by using compact by:   Analysis of the linear stability of compressible boundary layers using the PSE.

Linear and Nonlinear Stability of Boundary Layers with Streamwise Varying Properties. Ph.D. Thesis, Ohio State University, Columbus, Ohio.

Analysis of the linear stability of compressible boundary layers using the PSE. Theoret. Comput. Fluid Dynamics 3 Cited by: The subjects cover laminar, transitional and turbulent boundary layers for two- and three-dimensional incompressible and compressible flows.

The viscous-inviscid coupling between the boundary layer and the inviscid flow is also addressed. The book has a large number of homework : Hardcover. Two new techniques for the study of the linear and nonlinear instability in growing boundary layers are presented.

The first technique employs partial differential equations of parabolic type exploiting the slow change of the mean flow, disturbance velocity profiles, wavelengths, and growth rates in the streamwise by:   The parabolized stability equation (PSE) method has been proven to be a useful and convenient tool for the investigation of the stability and transition problems of boundary layers.

However, in its original formulation, for nonlinear problems, the complex wave number of each Fourier mode is determined by the so-called phase-locked rule, which results in non-self-consistency in the wave Cited by: 4.

Next, the principles of compressible flow are introduced with extension to the turbomachine stage problem. A modified exact hydraulic analogy for isentropic flows is then introduced to study flow path interaction in a gas turbine stage.

Finally, viscous flow and boundary layer theory are introduced with applications to the turbomachine : Hardcover.

The parabolized stability equation (PSE) approach is employed to study linear and nonlinear compressible stability with an eye to providing a capability for boundary-layer transition prediction in.

Approximate analytical Solution of Compressible Boundary Layer flow with an adverse Pressure Gradient by Homotopy Analysis Method Nargund L. Achala1 and S.B. Sathyanarayana2 Abstract The aim of this work is to obtain approximate analytical solution to the two dimensional laminar compressible boundary layer flow with.

The objective of this research is to study compressible boundary-layer stability and transition. We employ parabolized stability equations for linear and nonlin-ear development of disturbances in a compressible boundary layer. The nonlinear calculations are carried all the way to the transition stage for supersonic flows.

In section II, we formulate the problem while the numerical procedure. the linear and nonlinear evolution of convective disturbances in growing boundary layers.

Global or absolute instabilities can not be studied by this approach. This parabolizing procedure has been used recently by Bertolotti et a1.() for Blasius flOW. The objective of this research is to study compressible boundary-layer stability and transition. The PSE has widely been used to study linear and non-linear stability of subsonic and supersonic boundary layers over simple geometries.

The PSE formulation and solution technique can be found in many by: 5. Linear and non-linear stability analysis of incompressible boundary layer over a two-dimensional hump Computers & Fluids, Vol.

73 Study of tonal noise behavior of. 2-D boundary layers. 1’11 Chmg and Malik 9 ‘6, also investigated the linear and nonlinear stability of compressible growing boundary layers using PSE.

Re- cently, Chang, Vinh and Malik [isI used PSE to study the linear stability of the reacting flows in hypersonic boundary layers. The parabolized stability equation (PSE) approach is employed to study linear and nonlinear compressible stability with an eye to providing a capability for boundary-layer transition prediction in both 'quiet' and 'disturbed' environments.

The governing compressible stability equations are solved by a rational parabolizing approximation in the streamwise by: Accordingly, the compressible boundary layer has been the object of intensive study, beginning with Prandtll. Some specialisation has been almost unavoidable.

Mathematically, even in the two-dimensional case one faces the tremendous task of solving two coupled non-linear partial differential equations, andFile Size: 2MB.Abstract.

The parabolized stability equation (PSE) approach is employed to study linear and nonlinear compressible stability with an eye to providing a capability for boundary-layer transition prediction in both 'quiet' and 'disturbed' environments.