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On The Instability Of Goertler Vortices To Nonlinear Traveling Waves
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Book Synopsis On the Instability of Goertler Vortices to Nonlinear Traveling Waves by :
Download or read book On the Instability of Goertler Vortices to Nonlinear Traveling Waves written by and published by . This book was released on 1990 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent theoretical work has shown that strongly nonlinear, high wavenumber Gortler vortices developing within a boundary layer flow are susceptible to a secondary instability which takes the form of travelling waves confined to a thin region centered at the outer edge of the vortex. This work considered the case in which the secondary mode could be satisfactorily described by a linear stability theory and in the current paper our objective is to extend this investigation into the nonlinear regime. At this stage not only does the secondary mode become nonlinear but it also interacts with itself so as to modify the governing equations for the primary Gortler vortex. In this case then, the vortex and the travelling wave drive each other and, indeed, the whole flow structure is described by an infinite set of coupled, nonlinear differential equations. A Stuart-Watson type of weakly nonlinear analysis of these equations is undertaken and it concludes in particular, that on this basis there exist stable flow configurations in which the travelling mode is of finite amplitude. Impactions of our findings for practical situations are discussed and it is shown that the theoretical conclusions drawn here are in good qualitative agreement with available experimental observations.
Book Synopsis On the Instability of Goertler Vortices to Nonlinear Travelling Waves by : Institute for Computer Applications in Science and Engineering
Download or read book On the Instability of Goertler Vortices to Nonlinear Travelling Waves written by Institute for Computer Applications in Science and Engineering and published by . This book was released on 1990 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :National Aeronautics and Space Adm Nasa Publisher :Independently Published ISBN 13 :9781729219034 Total Pages :50 pages Book Rating :4.2/5 (19 download)
Book Synopsis On the Instability of Goertler Vortices to Nonlinear Travelling Waves by : National Aeronautics and Space Adm Nasa
Download or read book On the Instability of Goertler Vortices to Nonlinear Travelling Waves written by National Aeronautics and Space Adm Nasa and published by Independently Published. This book was released on 2018-10-25 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent theoretical work by Hall and Seddougui (1989) has shown that strongly nonlinear, high wavenumber Goertler vortices developing within a boundary layer flow are susceptible to a secondary instability which takes the form of travelling waves confined to a thin region centered at the outer edge of the vortex. The case is considered in which the secondary mode could be satisfactorily described by a linear stability theory and herein the objective is to extend this investigation of Hall and Seddougui (1989) into the nonlinear regime. It was found that at this stage not only does the secondary mode become nonlinear but it also interacts with itself so as to modify the governing equations for the primary Goertler vortex. In this case then, the vortex and the travelling wave drive each other and, indeed, the whole flow structure is described by an infinite set of coupled, nonlinear differential equations. A Stuart-Watson type of weakly nonlinear analysis of these equations is undertaken and concluded, in particular, that on this basis there exist stable flow configurations in which the travelling mode is of finite amplitude. Implications of the findings for practical situations are discussed and it is shown that the theoretical conclusions drawn here are in good qualitative agreement with available experimental observations. Seddougui, Sharon O. and Bassom, Andrew P. Langley Research Center NAS1-18605...
Book Synopsis On the Instability of Görtler Vortices to Nonlinear Travelling Waves by : S. O. Seddougui
Download or read book On the Instability of Görtler Vortices to Nonlinear Travelling Waves written by S. O. Seddougui and published by . This book was released on 1990 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Development and Secondary Instability of Gortler Vortices in Hypersonic Flows by : Yibin B. Fu
Download or read book Nonlinear Development and Secondary Instability of Gortler Vortices in Hypersonic Flows written by Yibin B. Fu and published by . This book was released on 1991 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On the Secondary Instability of the Most Dangerous Goertler Vortex by : Institute for Computer Applications in Science and Engineering
Download or read book On the Secondary Instability of the Most Dangerous Goertler Vortex written by Institute for Computer Applications in Science and Engineering and published by . This book was released on 1993 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On the Onset of Three-dimensionality and Time-dependence in the Goertler Vortex Problem by :
Download or read book On the Onset of Three-dimensionality and Time-dependence in the Goertler Vortex Problem written by and published by . This book was released on 1987 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Nonlinear Interaction of Tollmien-Schlichting Waves and Taylor-Goertler Vortices in Curved Channel Flows by :
Download or read book The Nonlinear Interaction of Tollmien-Schlichting Waves and Taylor-Goertler Vortices in Curved Channel Flows written by and published by . This book was released on 1987 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Nonlinear Interaction of Tollmien-Schlichting Waves and Taylor-Goertler Vortices in Mcurved Channel Flows by : P. Hall
Download or read book The Nonlinear Interaction of Tollmien-Schlichting Waves and Taylor-Goertler Vortices in Mcurved Channel Flows written by P. Hall and published by . This book was released on 1987 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Goertler Vortex Instability Mechanism in Three-dimensional Boundary Layers by : Institute for Computer Applications in Science and Engineering
Download or read book The Goertler Vortex Instability Mechanism in Three-dimensional Boundary Layers written by Institute for Computer Applications in Science and Engineering and published by . This book was released on 1984 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Development of Gortler and Crossflow Vortices and Gortler/Tollmien-Schlichting Wave Interaction by : M. R. Malik
Download or read book Nonlinear Development of Gortler and Crossflow Vortices and Gortler/Tollmien-Schlichting Wave Interaction written by M. R. Malik and published by . This book was released on 1990 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of nonlinear development of Goertler vortices on a curved wall is studied within the framework of incompressible Navier-Stokes equations which are solved by a Fourier-Chebyshev spectral method. The results show that higher harmonics grow due to nonlinear effects; however, most of the energy remains in the fundamental mode. The computed flow field in the presence of a Goertler vortex is in qualitative agreement with the experimental data. The interaction of the Goertler vortex with a two-dimensional Tollmien-Schlichting wave is also studied and it is shown that the Tollmien-Schlichting wave grows faster than its linear theory growth rate when the amplitude of the Goertler vortex is sufficiently large. Due to nonlinear effects this interaction further leads to the development of oblique waves with spanwise wavelength equal to the Goertler vortex wavelength. The numerical method is also applied to study the nonlinear development of a stationary crossflow vortex in a Falkner-Skan-Cooke boundary layer. The crossflow vortex develops in a manner similar to that found earlier for rotating disk flow. The fundamental and the higher harmonics all tend to saturate when the integration is carried to large amplitudes. The computed velocity distribution clearly shows the emergence of the superharmonic which, however, does not dominate the fundamental mode. The Falkner-Skan-Cooke flow, modulated by the presence of the crossflow vortex, is found to be subject to a new secondary instability with large growth rates. (JHD).
Book Synopsis Fully Nonlinear Development of the Most Unstable Goertler Vortex in a Three Dimensional Boundary Layer by : Institute for Computer Applications in Science and Engineering
Download or read book Fully Nonlinear Development of the Most Unstable Goertler Vortex in a Three Dimensional Boundary Layer written by Institute for Computer Applications in Science and Engineering and published by . This book was released on 1992 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On the Nonlinear Development of the Most Unstable Goertler Vortex Mode by : Institute for Computer Applications in Science and Engineering
Download or read book On the Nonlinear Development of the Most Unstable Goertler Vortex Mode written by Institute for Computer Applications in Science and Engineering and published by . This book was released on 1991 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Monthly Catalog of United States Government Publications by :
Download or read book Monthly Catalog of United States Government Publications written by and published by . This book was released on 1994 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Monthly Catalogue, United States Public Documents by :
Download or read book Monthly Catalogue, United States Public Documents written by and published by . This book was released on 1995 with total page 1100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :National Aeronautics and Space Adm Nasa Publisher :Independently Published ISBN 13 :9781729393697 Total Pages :62 pages Book Rating :4.3/5 (936 download)
Book Synopsis On the Interaction of Stationary Crossflow Vortices and Tollmien-Schlichting Waves in the Boundary Layer on a Rotating Disc by : National Aeronautics and Space Adm Nasa
Download or read book On the Interaction of Stationary Crossflow Vortices and Tollmien-Schlichting Waves in the Boundary Layer on a Rotating Disc written by National Aeronautics and Space Adm Nasa and published by Independently Published. This book was released on 2018-10-29 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are many fluid flows where the onset of transition can be caused by different instability mechanisms which compete among themselves. The interaction is considered of two types of instability mode (at an asymptotically large Reynolds number) which can occur in the flow above a rotating disc. In particular, the interaction is examined between lower branch Tollmien-Schlichting (TS) waves and the upper branch, stationary, inviscid crossflow vortex whose asymptotic structure has been described by Hall (1986). This problem is studied in the context of investigating the effect of the vortex on the stability characteristics of a small TS wave. Essentially, it is found that the primary effect is felt through the modification to the mean flow induced by the presence of the vortex. Initially, the TS wave is taken to be linear in character and it is shown (for the cases of both a linear and a nonlinear stationary vortex) that the vortex can exhibit both stabilizing and destabilizing effects on the TS wave and the nature of this influence is wholly dependent upon the orientation of this latter instability. Further, the problem is examined with a larger TS wave, whose size is chosen so as to ensure that this mode is nonlinear in its own right. An amplitude equation for the evolution of the TS wave is derived which admits solutions corresponding to finite amplitude, stable, traveling waves. Bassom, Andrew P. and Hall, Philip Unspecified Center...
