On The Instability Of Goertler Vortices To Nonlinear Travelling Waves
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Author | : National Aeronautics and Space Adm Nasa |
Publisher | : Independently Published |
Total Pages | : 50 |
Release | : 2018-10-25 |
Genre | : Science |
ISBN | : 9781729219034 |
Download On the Instability of Goertler Vortices to Nonlinear Travelling Waves Book in PDF, Epub and Kindle
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...
Author | : |
Publisher | : |
Total Pages | : 44 |
Release | : 1990 |
Genre | : |
ISBN | : |
Download On the Instability of Goertler Vortices to Nonlinear Traveling Waves Book in PDF, Epub and Kindle
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.
Author | : Institute for Computer Applications in Science and Engineering |
Publisher | : |
Total Pages | : 52 |
Release | : 1990 |
Genre | : |
ISBN | : |
Download On the Instability of Goertler Vortices to Nonlinear Travelling Waves Book in PDF, Epub and Kindle
Author | : S. O. Seddougui |
Publisher | : |
Total Pages | : 42 |
Release | : 1990 |
Genre | : |
ISBN | : |
Download On the Instability of Görtler Vortices to Nonlinear Travelling Waves Book in PDF, Epub and Kindle
Author | : Yibin B. Fu |
Publisher | : |
Total Pages | : 52 |
Release | : 1991 |
Genre | : |
ISBN | : |
Download Nonlinear Development and Secondary Instability of Gortler Vortices in Hypersonic Flows Book in PDF, Epub and Kindle
Author | : |
Publisher | : |
Total Pages | : 692 |
Release | : 1995 |
Genre | : Aeronautics |
ISBN | : |
Download Scientific and Technical Aerospace Reports Book in PDF, Epub and Kindle
Author | : Institute for Computer Applications in Science and Engineering |
Publisher | : |
Total Pages | : 20 |
Release | : 1993 |
Genre | : |
ISBN | : |
Download On the Secondary Instability of the Most Dangerous Goertler Vortex Book in PDF, Epub and Kindle
Author | : Institute for Computer Applications in Science and Engineering |
Publisher | : |
Total Pages | : 32 |
Release | : 1992 |
Genre | : |
ISBN | : |
Download Fully Nonlinear Development of the Most Unstable Goertler Vortex in a Three Dimensional Boundary Layer Book in PDF, Epub and Kindle
Author | : Institute for Computer Applications in Science and Engineering |
Publisher | : |
Total Pages | : 36 |
Release | : 1989 |
Genre | : |
ISBN | : |
Download A Note Concerning the Onset of Three Dimensionality and Time Dependence in Goertler Vortices Book in PDF, Epub and Kindle
Author | : Institute for Computer Applications in Science and Engineering |
Publisher | : |
Total Pages | : 40 |
Release | : 1991 |
Genre | : |
ISBN | : |
Download On the Nonlinear Development of the Most Unstable Goertler Vortex Mode Book in PDF, Epub and Kindle