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Book Tollmien Schlichting Vortex Interactions in Compressible Boundary Layer Flows

Download or read book Tollmien Schlichting Vortex Interactions in Compressible Boundary Layer Flows written by National Aeronautics and Space Adm Nasa and published by Independently Published. This book was released on 2018-10-24 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: The weakly nonlinear interaction of oblique Tollmien-Schlichting waves and longitudinal vortices in compressible, high Reynolds number, boundary-layer flow over a flat plate is considered for all ranges of the Mach number. The interaction equations comprise of equations for the vortex which is indirectly forced by the waves via a boundary condition, whereas a vortex term appears in the amplitude equation for the wave pressure. The downstream solution properties of interaction equations are found to depend on the sign of an interaction coefficient. Compressibility is found to have a significant effect on the interaction properties; principally through its impact on the waves and their governing mechanism, the triple-deck structure. It is found that, in general, the flow quantities will grow slowly with increasing downstream co-ordinate; i.e. in general, solutions do not terminate in abrupt, finite-distance 'break-ups'. Blackaby, Nicholas D. Unspecified Center NAS1-19480; RTOP 505-90-52-01

Book On Nonlinear Tollmien Schlichting Vortex Interaction in Three Dimensional Boundary Layers

Download or read book On Nonlinear Tollmien Schlichting Vortex Interaction in Three Dimensional 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 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: The instability of an incompressible three-dimensional boundary layer (that is, one with cross-flow) is considered theoretically and computationally in the context of vortex/wave interactions. Specifically the work centers on two low amplitude, lower-branch Tollmien-Schlichting waves which mutually interact to induce a weak longitudinal vortex flow; the vortex motion, in turn, gives rise to significant wave-modulation via wall-shear forcing. The characteristic Reynolds number is taken as a large parameter and, as a consequence, the waves' and the vortex motion are governed primarily by triple-deck theory. The nonlinear interaction is captured by a viscous partial-differential system for the vortex coupled with a pair of amplitude equations for each wave pressure. Three distinct possibilities were found to emerge for the nonlinear behavior of the flow solution downstream - an algebraic finite-distance singularity, far downstream saturation or far-downstream wave-decay (leaving pure vortex flow) - depending on the input conditions, the wave angles, and the size of the cross-flow. Davis, Dominic A. R. and Smith, Frank T. Glenn Research Center NCC3-233; RTOP 505-62-21...

Book Tollmien Schlichting vortex Interactions in Compressible Boundary Layer Flows

Download or read book Tollmien Schlichting vortex Interactions in Compressible Boundary Layer Flows written by Nicholas D. Blackaby and published by . This book was released on 1993 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Nonlinear Tollmien Schlichting vortex Interaction in Boundary Layers

Download or read book Nonlinear Tollmien Schlichting vortex Interaction in Boundary Layers written by P. Hall and published by . This book was released on 1988 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book On the Interaction of Stationary Crossflow Vortices and Tollmien Schlichting Waves in the Boundary Layer on a Rotating Disc

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 Institute for Computer Applications in Science and Engineering and published by . This book was released on 1989 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book On the Interaction of Stationary Crossflow Vortices and Tollmien Schlichting Waves in the Boundary Layer on a Rotating Disc

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...

Book On Strongly Nonlinear Vortex wave Interactions in Boundary layer Transition

Download or read book On Strongly Nonlinear Vortex wave Interactions in Boundary layer Transition written by Philip Hall and published by . This book was released on 1989 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Nonlinear Development of Gortler and Crossflow Vortices and Gortler Tollmien Schlichting Wave Interaction

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 Taylor Goertler Instabilities of Tollmien Schlichting Waves and Other Flows Governed by the Interactive Boundary Layer Equations

Download or read book Taylor Goertler Instabilities of Tollmien Schlichting Waves and Other Flows Governed by the Interactive Boundary Layer Equations written by Institute for Computer Applications in Science and Engineering and published by . This book was released on 1985 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Nonlinear Interaction of Waves in Boundary Layer Flows

Download or read book Nonlinear Interaction of Waves in Boundary Layer Flows written by Ali H. Nayfeh and published by . This book was released on 1979 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: First-order nonlinear interactions of Tollmien-Schlichting waves of different frequencies and initial amplitudes in boundary-layer flows are analyzed by using the method of multiple scales. For the case of two waves, a strong nonlinear interaction exists if one of the frequencies is twice the other frequency. Numerical results for flow past a flat plate show that this interaction mechanism is strongly destabilizing even in regions where either the fundamental or its harmonic is damped in the absence of the interaction.

Book Numerical Simulation of Goertler Tollmien Schlichting Wave interaction

Download or read book Numerical Simulation of Goertler Tollmien Schlichting Wave interaction written by and published by . This book was released on 1989 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Goertler Vortices in Growing Boundary Layers  The Leading Edge Receptivity Problem  Linear Growth and the Nonlinear Breakdown Stage

Download or read book Goertler Vortices in Growing Boundary Layers The Leading Edge Receptivity Problem Linear Growth and the Nonlinear Breakdown Stage written by Institute for Computer Applications in Science and Engineering and published by . This book was released on 1989 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Fully Nonlinear Development of G  rtler Vortices in Growing Boundary Layers

Download or read book The Fully Nonlinear Development of G rtler Vortices in Growing Boundary Layers written by Philip Hall and published by . This book was released on 1987 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Interactions of Tollmien Schlichting Waves and Dean Vortices

Download or read book Interactions of Tollmien Schlichting Waves and Dean Vortices written by Bart A. Singer and published by . This book was released on 1989 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: