Nonlinear Stability of Non-Stationary Cross-Flow Vortices in Compressible Boundary Layers

Nonlinear Stability of Non-Stationary Cross-Flow Vortices in Compressible Boundary Layers PDF Author: National Aeronautics and Space Adm Nasa
Publisher: Independently Published
ISBN: 9781729036778
Category :
Languages : en
Pages : 38

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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

Nonlinear Stability of Non-Stationary Cross-Flow Vortices in Compressible Boundary Layers

Nonlinear Stability of Non-Stationary Cross-Flow Vortices in Compressible Boundary Layers PDF Author: National Aeronautics and Space Adm Nasa
Publisher: Independently Published
ISBN: 9781729036778
Category :
Languages : en
Pages : 38

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Book Description
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

Nonlinear Stability of Non-stationary Cross-flow Vortices in Compressible Boundary Layers

Nonlinear Stability of Non-stationary Cross-flow Vortices in Compressible Boundary Layers PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 38

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Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports PDF Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 704

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On the Nonlinear Evolution of a Stationary Cross-flow Vortex in a Fully Three-dimensional Boundary Layer Flow

On the Nonlinear Evolution of a Stationary Cross-flow Vortex in a Fully Three-dimensional Boundary Layer Flow PDF Author: J. S. B. Gajjar
Publisher:
ISBN:
Category : Boundary layer
Languages : en
Pages : 42

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1st AIAA Theoretical Fluid Mechanics Meeting

1st AIAA Theoretical Fluid Mechanics Meeting PDF Author:
Publisher:
ISBN:
Category : Fluid mechanics
Languages : en
Pages : 672

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Sixth IUTAM Symposium on Laminar-Turbulent Transition

Sixth IUTAM Symposium on Laminar-Turbulent Transition PDF Author: Rama Govindarajan
Publisher: Springer Science & Business Media
ISBN: 1402041594
Category : Technology & Engineering
Languages : en
Pages : 466

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Book Description
The dynamics of transition from laminar to turbulent flow remains to this day a major challenge in theoretical and applied mechanics. A series of IUTAM symposia held over the last twenty five years at well-known Centres of research in the subject - Novosibirsk, Stuttgart, Toulouse, Sendai and Sedona (Arizona) - has proved to be a great catalyst which has given a boost to research and our understanding of the field. At this point of time, the field is changing significantly with several emerging directions. The sixth IUTAM meeting in the series, which was held at the Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore, India, focused on the progress after the fifth meeting held at Sedona in 1999. The s- posium, which adhered to the IUTAM format of a single session, included seven invited lectures, fifty oral presentations and eight posters. During the course of the symposium, the following became evident. The area of laminar-turbulent transition has progressed considerably since 1999. Better theoretical tools, for handling nonlinearities as well as transient behaviour are now available. This is accompanied by an en- mous increase in the level of sophistication of both experiments and direct numerical simulations. The result has been that our understanding of the early stages of the transition process is now on much firmer footing and we are now able to study many aspects of the later stages of the transition process.

Applied mechanics reviews

Applied mechanics reviews PDF Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 400

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Mathematika

Mathematika PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 872

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A journal of pure and applied mathematics.

Computational Science and Its Applications - ICCSA 2003

Computational Science and Its Applications - ICCSA 2003 PDF Author: Vipin Kumar
Publisher: Springer
ISBN: 3540448438
Category : Computers
Languages : en
Pages : 976

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Book Description
The three-volume set, LNCS 2667, LNCS 2668, and LNCS 2669, constitutes the refereed proceedings of the International Conference on Computational Science and Its Applications, ICCSA 2003, held in Montreal, Canada, in May 2003.The three volumes present more than 300 papers and span the whole range of computational science from foundational issues in computer science and mathematics to advanced applications in virtually all sciences making use of computational techniques. The proceedings give a unique account of recent results in computational science.

Government Reports Annual Index

Government Reports Annual Index PDF Author:
Publisher:
ISBN:
Category : Government reports announcements & index
Languages : en
Pages : 1608

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