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Plenary Lecture

Role of Flow Non-Parallelism in the Excitation and Amplification of Disturbances in a Supersonic Boundary Layer



Professor Sergey A. Gaponov
Khristianovich Institute of Theoretical and Applied Mechanics (ITAM)
SB RAS, 630090, Novosibirsk, RUSSIA
E-mail: gaponov@itam.nsc.ru
 

Abstract: The receptivity of external waves and instability of a supersonic boundary layer is considered. It is well known that unstable hydrodynamic waves can be excited by external waves in both subsonic and supersonic flows. It has also been established that for linear interactions of monochromatic waves with laminar flow the excitation is possible only in nonparallel streams. The distinguishing characteristic in the generation mechanism of the unstable waves by sound for subsonic and supersonic flows is as follows: For fixed frequency and low velocities, the parameter values of sound waves differ considerably from those of unstable waves. The effective generation of Tollmien-Schlichting (T.-S.) waves takes place only in the presence of a strong non-homogeneity, e.g., roughness or the leading edge of the model. However in the case of supersonic flow both wave parameters are similar. This fact has two consequences. First of all the sound phase velocity can coincide with the flow velocity in the boundary layer, and a critical layer appears which leads to strong oscillations in the boundary layer. Second because sound and T.-S. waves have similar characteristics their parameters become indistinguishable in nonparallel flow. Thus effective transmission of oscillatory energy from sound waves into eigen-oscillations takes place. In this paper both the interaction of external waves with parallel flow and the possible excitation of eigen-oscillations in nonparallel flow are considered in linear approach.
The second way of eigen-oscillations excitation is connected with the non-linear disturbances interaction. In particular two problems are discussed. In one of them influence of acoustic disturbances wind tunnel on generation of amplified waves in the modal boundary layer is studied. In the second example Tollmien-Schlichting waves generation by another frequency disturbances is investigated.
This work has been financially supported by the RFBR (Grant No. 08-01-00038a)


Brief Biography of the Speaker:
Field of research: Fluid dynamics, laminar- turbulent transition in wall-bounded shear layers.
Surname: Gaponov First name: Sergey Date of birth: August 20, 1940
Affiliation: Laboratory wave processes in supersonic viscous flows, Institute of Theoretical and Applied Mechanics of Siberian Branch of Russian Academy of Science (ITAM SB RAS); Professor at the Department of Theoretical Mechanics, Novosibirsk State University of Architecture and Civil Engineering (NSUACE).
Address: Institutskaya Street, 4/1, 630090 Novosibirsk, Russia
Phone: +7(383)3301228, Fax: +7(383)330726 E-mail: gaponov@itam.nsc.ru
Education: Graduated from Physics Department of Novosibirsk State University (NSU), 1964.
Brief description of professional career (including the title of the dissertation work, the year and the Institution where it has been defended):
1. Junior and Senior Scientific Researcher, Head of Laboratory of the Institute of Theoretical and Applied Mechanics SB RAS, January 1965 – till now.
2. Professor at the Department of Theoretical Mechanics, Novosibirsk State University of Architecture and Civil Engineering (NSUACE), 1992-till now.
Ph.D. Thesis: "Stability of the Incompressible Boundary Layer on a Permeable Surface", 1971, Institute of Theoretical and Applied Mechanics of Siberian Branch of Russian Academy of Science (ITAM SB RAS).
Degree of Doctor (Physics and Mathematics): «Development of disturbances in a supersonic boundary layer», 1987, Moscow Physical-Technical Institute.
Other fields: Member of Council on Defence of doctoral Thesis’s at Institute of Theoretical and Applied Mechanics, Member of Russian National Committee on Theoretical and Applied Mechanics, Prize-Winner of Professor Joukovski
List of recent grants for fundamental research: Grant of International Science and Technology Center: ISTC-128-96 (1996-1999, investigator). Grants of Russian Foundation for Basic Research (1994-95, 1996-98, 1999-01, 2002-04, 2005-07, 2008-10, team leader.)
Publications: Number of communications to scientific meetings exceed hundred. Number of papers in refereed journals is more than130. Two books were published.

 

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