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Author : Ali H. Nayfeh
Publisher :
ISBN 13 :
Total Pages : 53 pages
Book Rating : 4.:/5 (11 download)
Download or read book Nonlinear Stability of Boundary Layers written by Ali H. Nayfeh and published by . This book was released on 1987 with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Fabio Paolo Bertolotti
Publisher :
ISBN 13 :
Total Pages : 480 pages
Book Rating : 4.:/5 (243 download)
Download or read book Linear and Nonlinear Stability of Boundary Layers with Streamwise Varying Properties written by Fabio Paolo Bertolotti and published by . This book was released on 1991 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a new technique for the study of transition in convectively unstable flows that employs nonlinear partial differential equations of parabolic type based on the slow change of the basic-flow and the disturbance velocity profiles, wavelength, and growth rate in the streamwise direction. Solutions comparable in accuracy to direct Navier-Stokes simulations can be obtained with a marching procedure utilizing a small fraction of the computational cost.
Author :
Publisher :
ISBN 13 :
Total Pages : 38 pages
Book Rating : 4.:/5 (317 download)
Download or read book Nonlinear Stability of Non-stationary Cross-flow Vortices in Compressible Boundary Layers written by and published by . This book was released on 1995 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Erik Janke
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (11 download)
Download or read book Nonlinear Stability of Three-dimensional Boundary Layers written by Erik Janke and published by . This book was released on 1998 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hajime Koba
Publisher : American Mathematical Soc.
ISBN 13 : 0821891332
Total Pages : 142 pages
Book Rating : 4.8/5 (218 download)
Download or read book Nonlinear Stability of Ekman Boundary Layers in Rotating Stratified Fluids written by Hajime Koba and published by American Mathematical Soc.. This book was released on 2014-03-05 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: A stationary solution of the rotating Navier-Stokes equations with a boundary condition is called an Ekman boundary layer. This book constructs stationary solutions of the rotating Navier-Stokes-Boussinesq equations with stratification effects in the case when the rotating axis is not necessarily perpendicular to the horizon. The author calls such stationary solutions Ekman layers. This book shows the existence of a weak solution to an Ekman perturbed system, which satisfies the strong energy inequality. Moreover, the author discusses the uniqueness of weak solutions and computes the decay rate of weak solutions with respect to time under some assumptions on the Ekman layers and the physical parameters. The author also shows that there exists a unique global-in-time strong solution of the perturbed system when the initial datum is sufficiently small. Comparing a weak solution satisfying the strong energy inequality with the strong solution implies that the weak solution is smooth with respect to time when time is sufficiently large.
Author : National Aeronautics and Space Administration (NASA)
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781722418564
Total Pages : 36 pages
Book Rating : 4.4/5 (185 download)
Download or read book Nonlinear Stability of Non-Stationary Cross-Flow Vortices in Compressible Boundary Layers written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-07-09 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: The nonlinear evolution of long wavelength non-stationary cross-flow vortices in a compressible boundary layer is investigated and the work extends that of Gajjar (1994) to flows involving multiple critical layers. The basic flow profile considered in this paper is that appropriate for a fully three-dimensional boundary layer with O(1) Mach number and with wall heating or cooling. The governing equations for the evolution of the cross-flow vortex are obtained and some special cases are discussed. One special case includes linear theory where exact analytic expressions for the growth rate of the vortices are obtained. Another special case is a generalization of the Bassom & Gajjar (1988) results for neutral waves to compressible flows. The viscous correction to the growth rate is derived and it is shown how the unsteady nonlinear critical layer structure merges with that for a Haberman type of viscous critical layer. Gajjar, J. S. B. Unspecified Center NCC3-370; RTOP 505-90-5K...
Author : Erik Janke
Publisher :
ISBN 13 :
Total Pages : 520 pages
Book Rating : 4.:/5 (426 download)
Download or read book Nonlinear Stability and Control of Three-dimensional Boundary Layers written by Erik Janke and published by . This book was released on 1998 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Fabio Paolo Bertolotti
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (17 download)
Download or read book Linear and Nonlinear Stability of Boundary Layers with written by Fabio Paolo Bertolotti and published by . This book was released on 1991 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Institute for Computer Applications in Science and Engineering
Publisher :
ISBN 13 :
Total Pages : 56 pages
Book Rating : 4.:/5 (317 download)
Download or read book On the Stability of Nonlinear Viscous Vortices in Three-dimensional Boundary Layers written by Institute for Computer Applications in Science and Engineering and published by . This book was released on 1992 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hajime Koba
Publisher :
ISBN 13 : 9781470414856
Total Pages : 132 pages
Book Rating : 4.4/5 (148 download)
Download or read book Nonlinear Stability of Ekman Boundary Layers in Rotation Stratified Fluids written by Hajime Koba and published by . This book was released on 2014-10-03 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: A stationary solution of the rotating Navier-Stokes equations with a boundary condition is called an Ekman boundary layer. This book constructs stationary solutions of the rotating Navier-Stokes-Boussinesq equations with stratification effects in the case when the rotating axis is not necessarily perpendicular to the horizon. The author calls such stationary solutions Ekman layers. This book shows the existence of a weak solution to an Ekman perturbed system, which satisfies the strong energy inequality. Moreover, the author discusses the uniqueness of weak solutions and computes the decay rate of weak solutions with respect to time under some assumptions on the Ekman layers and the physical parameters. The author also shows that there exists a unique global-in-time strong solution of the perturbed system when the initial datum is sufficiently small. Comparing a weak solution satisfying the strong energy inequality with the strong solution implies that the weak solution is smooth with respect to time when time is sufficiently large.
Author : Institute for Computer Applications in Science and Engineering
Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.:/5 (317 download)
Download or read book On the Nonlinear Stability of a High-speed, Axisymmetric Boundary Layer written by Institute for Computer Applications in Science and Engineering and published by . This book was released on 1991 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: The stability of a high speed, axisymmetric boundary layer is investigated using secondary instability theory and direct numerical simulation. Parametric studies based on temporal secondary instability theory identify subharmonic secondary instability as a likely path to transition on a cylinder at Mach 4.5. The theoretical predictions are validated by direct numerical simulation of temporally-evolving primary and secondary disturbances in an axisymmetric boundary-layer flow. At small amplitudes of the secondary disturbance, predicted growth rates agree to several significant digits with values obtained from the spectrally-accurate solution of the compressible Navier Stokes equations. Qualitative agreement persists to large amplitudes of secondary disturbance. Moderate transverse curvature is shown to significantly affect the growth rate of axisymmetric second mode disturbances, the likely candidates of primary instability. The influence of curvature on secondary instability is largely indirect but most probably significant, through modulation of the primary disturbance amplitude. Subharmonic secondary instability is shown to be predominantly inviscid in nature, and to account for spikes in the Reynolds stress components at or near the critical layer.
Author : Guy Métivier
Publisher : Springer Science & Business Media
ISBN 13 : 0817682147
Total Pages : 208 pages
Book Rating : 4.8/5 (176 download)
Download or read book Small Viscosity and Boundary Layer Methods written by Guy Métivier and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Metivier is an expert in the field of pdes/math physics, with a particular emphasis on shock waves. * New monograph focuses on mathematical methods, models, and applications of boundary layers, present in many problems of physics, engineering, fluid mechanics. * Metivier has good Birkhauser track record: one of the main authors of "Advances in the Theory of Shock Waves" (Freistuehler/Szepessy, eds, 4187-4). * Manuscript endorsed by N. Bellomo, MSSET series editor...should be a good sell to members of MSSET community, who by-in-large are based in Europe. * Included are self-contained introductions to different topics such as hyperbolic boundary value problems, parabolic systems, WKB methods, construction of profiles, introduction to the theory of Evans’ functions, and energy methods with Kreiss’ symmetrizers.
Author : Mark Steven Reibert
Publisher :
ISBN 13 :
Total Pages : 926 pages
Book Rating : 4.:/5 (369 download)
Download or read book Nonlinear Stability, Saturation, and Transition in Crossflow- Dominated Boundary Layers written by Mark Steven Reibert and published by . This book was released on 1996 with total page 926 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Matthias Hess
Publisher :
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4.:/5 (315 download)
Download or read book Nonlinear Stability of Ekman Boundary Layers written by Matthias Hess and published by . This book was released on 2008 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Erik Janke
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.:/5 (317 download)
Download or read book On the Stability of Three-Dimensional Boundary Layers written by Erik Janke and published by . This book was released on 1999 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Peter W. Duck
Publisher : Springer Science & Business Media
ISBN 13 : 9400917007
Total Pages : 458 pages
Book Rating : 4.4/5 (9 download)
Download or read book IUTAM Symposium on Nonlinear Instability and Transition in Three-Dimensional Boundary Layers written by Peter W. Duck and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most fluid flows of practical importance are fully three-dimensional, so the non-linear instability properties of three-dimensional flows are of particular interest. In some cases the three-dimensionality may have been caused by a finite amplitude disturbance whilst, more usually, the unperturbed state is three-dimensional. Practical applications where transition is thought to be associated with non-linearity in a three- dimensional flow arise, for example, in aerodynamics (swept wings, engine nacelles, etc.), turbines and aortic blood flow. Here inviscid `cross-flow' disturbances as well as Tollmien-Schlichting and Görtler vortices can all occur simultaneously and their mutual non-linear behaviour must be understood if transition is to be predicted. The non-linear interactions are so complex that usually fully numerical or combined asymptotic/numerical methods must be used. Moreover, in view of the complexity of the instability processes, there is also a growing need for detailed and accurate experimental information. Carefully conducted tests allow us to identify those elements of a particular problem which are dominant. This assists in both the formulation of a relevant theoretical problem and the subsequent physical validation of predictions. It should be noted that the demands made upon the skills of the experimentalist are high and that the tests can be extremely sophisticated - often making use of the latest developments in flow diagnostic techniques, automated high speed data gathering, data analysis, fast processing and presentation.
Author : Toshi Kubota
Publisher :
ISBN 13 :
Total Pages : 91 pages
Book Rating : 4.:/5 (227 download)
Download or read book A Nonlinear Stability Theory for Plane Boundary written by Toshi Kubota and published by . This book was released on 1980 with total page 91 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
