Author: Institute for Computer Applications in Science and EngineeringPublisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Nonlinear Development and Secondary Instability of Goertler Vortices in Hypersonic Flows
Author: Institute for Computer Applications in Science and EngineeringPublisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Nonlinear Development and Secondary Instability of Gortler Vortices in Hypersonic Flows
Author: Yibin B. FuSecondary Instabilities of Görtler Vortices in High-Speed Boundary Layers
Author: Jie RenPublisher: Springer
ISBN: 9811068321
Category : Technology & Engineering
Languages : en
Pages : 110
Book Description
This thesis first reveals the mechanism of Görtler instabilities and then demonstrates how transitions at hypersonic flows can be effectively controlled (either promoted or suppressed) with Görtler or Klebanoff modes. It focuses on understanding and controlling flow transitions from mild laminar to fully turbulent flows at high speeds—aspects that have become crucial at the dawn of an incredible era, in which hypersonic vehicles are becoming available. Once this occurs, it will be possible to travel from Beijing to Los Angeles within just 2 hours, and we will all live in a genuinely global village—and not just virtually, but physically. Görtler instabilities have often been used to promote flow transition in hypersonic vehicles. However, how Görtler instabilities are excited and how they evolve in hypersonic flows are questions that have yet to be answered.
On the Instability of Goertler Vortices to Nonlinear Traveling Waves
Author: Publisher:
ISBN:
Category :
Languages : en
Pages : 44
Book Description
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.
On the Secondary Instability of the Most Dangerous Goertler Vortex
Author: Institute for Computer Applications in Science and EngineeringPublisher:
ISBN:
Category :
Languages : en
Pages : 20
Book Description
On the Instability of Goertler Vortices to Nonlinear Travelling Waves
Author: Institute for Computer Applications in Science and EngineeringPublisher:
ISBN:
Category :
Languages : en
Pages : 52
Book Description
On the Nonlinear Development of the Most Unstable Goertler Vortex Mode
Author: Institute for Computer Applications in Science and EngineeringPublisher:
ISBN:
Category :
Languages : en
Pages : 40
Book Description
Nonlinear Development of Gortler and Crossflow Vortices and Gortler/Tollmien-Schlichting Wave Interaction
Author: M. R. MalikPublisher:
ISBN:
Category :
Languages : en
Pages : 70
Book Description
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).
Crossflow Effects on the Growth Rate of Inviscid Goertler Vortices in a Hypersonic Boundary Layer
Author: Institute for Computer Applications in Science and EngineeringPublisher:
ISBN:
Category :
Languages : en
Pages : 44
Book Description
Effects of Goertler Vortices, Wall Cooling and Gas Dissociation on the Rayleigh Instability in a Hypersonic Boundary Layer
Author: Institute for Computer Applications in Science and EngineeringPublisher:
ISBN:
Category :
Languages : en
Pages : 40
Book Description