Saturday 28 May 2011

Wseas Transactions

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Transactions: WSEAS TRANSACTIONS ON FLUID MECHANICS
Transactions ID Number: 53-579
Full Name: Maria Smirnova
Position: Ph.D. Candidate
Age: ON
Sex: Female
Address: Barcklay 17-17, 121309, Moscow
Country: RUSSIA
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E-mail address: wonrims@inbox.ru
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Title of the Paper: High velocity motion of a wing in compressible fluid near a surface
Authors as they appear in the Paper: Maria Smirnova, Alexander Zvyaguin
Email addresses of all the authors: wonrims@inbox.ru
Number of paper pages: 10
Abstract: The two-dimensional problems of thin body motion in fluid parallel to the boundary at a distance, comparable with the length of the body, are regarded. In particular, resistance and lift forces in thin body motion parallel to free surface and parallel to rigid surface are determined and compared with existing solutions for resistance and lift forces in case of an infinite space. The solution is determined under the assumption of fluid being ideal and compressible. The Chaplygin-Zhukovsky hypothesis of rear-edge-limited solution is taken into consideration. In case of moving near free surface the solution is obtained for a problem of infinite span wing. The solution allows determining drag and lift forces in the limiting cases. It was shown that on Mach number tending to unity both forces infinitely increase. For relatively thin fluid layer above the moving wing the resistance force depends on the distance to the free surface, inclination and Mach number, while for!
relatively thick fluid layer the force depends on wing length, inclination angle and Mach number as well. In case of moving near rigid surface the solution of a problem is reduced to the Fredholm equation, which is solved numerically. The generalization of Zhukovski solution was obtained, which provides the lift force dependence on the altitude of the flight. The behavior of the lift force is very peculiar: it increases on decreasing altitude above the rigid surface. The screen effect becomes essential on moving wing altitude being smaller than the wingХs length. The effect was detected experimentally before and gave birth to construction of a special flying vehicle named ТecranoplanУ. It is shown in the paper that the lift force could increase several orders of magnitude. This effect could be used in developing flying high-speed vehicles, which could be used in the territories of smooth surface: steppes, deserts, lakes, swamps, etc.
Keywords: Wing, Compressible Fluid, Analytical Function, Fredholm Equation, Dirichlet Problem, Lift and Resistance Forces
EXTENSION of the file: .doc
Special (Invited) Session: Mathematical Fluid Dynamics
Organizer of the Session: Professor F.-K. Benra
How Did you learn about congress: Fluid Dynamics, Air Dynamics, Streaming Flows, Resistance and Lift Forces
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