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A Collocation Method for the Generalized Airfoil Equation for an Airfoil with a Flap
SIAM Journal on Numerical Analysis, 1998The author considers the generalized airfoil equation \(\frac{1}{\pi}\oint_{-1}^1\frac{u(x)}{x-y}dx+\frac{1}{\pi}\int_{-1}^1k(y, x)u(x)dx=f(y)\), \(-1 < y < 1\), which governs the pressure across an airfoil oscillating in a wind tunnel; \(\oint\) denotes an integral defined in the Cauchy principal value sense, and \(u(x)\) is the unknown pressure jump ...
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A multipoint inverse airfoil design method for slot-suction airfoils
13th Applied Aerodynamics Conference, 1995Owing to a renewed interest in advanced-concept transport aircraft with active boundary-layer control (suction and/or blowing), a generalized multipoint method for the inverse design of airfoils with slot suction in incompressible potential flow is presented. The results predicted by theory show good agreement with experiment.
Farooq Saeed, Michael S. Selig
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Bézier presentation of airfoils
Computer Aided Geometric Design, 1987Bézier presentations and cubic spline presentations of NACA-4-digit airfoils are developed and their errors are discussed. The given representations may help to use the Bernstein-Bézier technique in the design process of wings.
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Airfoil Design and Optimization
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2001AbstractThe aerodynamic efficiency of mildly swept wings is mainly influenced by the characteristics of the airfoil sections. The specific design of airfoils is therefore one of the classical tasks of aerodynamics. Since the airfoil characteristics are directly dependent on the inviscid pressure distribution the application of inverse calculation ...
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Airfoils and Airfoil Systems of Finite Span
1935The subject of this Chapter is the investigation of the forces experienced by an airfoil of finite span and by airfoil systems. The basic idea for the following deductions has been indicated at the end of III 32. The only point we have to add is that in the case of a single wing of ordinary type we may substitute the lift per unit span l for Λ (see III
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Airfoil gust response and the sound produced by airfoil-vortex interaction
Journal of Sound and Vibration, 1984This paper contributes to the understanding of the noise generation process of an airfoil encountering an unsteady upwash. By using a fast Fourier transform together with accurate airfoil response functions, the lift-time waveform for an airfoil encountering a delta function gust (the indicial function) is calculated for a flat plate airfoil in a ...
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Airfoil-vortex interaction and the wake of an oscillating airfoil
2014Ph. D.
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Effect of airfoil thickness on gust–airfoil interaction noise
Physics of FluidsInteraction between turbulence and an airfoil is a significant aerodynamic noise source for many engineering applications when turbulence in the wake of upstream blades interacts with the leading edge of downstream blades. Modeling the oncoming turbulence as harmonic gusts is a common approach to study the noise generated by turbulence–airfoil ...
Shujie Jiang +5 more
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1958
Publisher Summary The unsteady airfoil theory refers to the part of aerodynamics that considers the calculation of the pressure distribution over an airfoil moving with constant speed while performing an unsteady motion in the direction perpendicular to its plane.
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Publisher Summary The unsteady airfoil theory refers to the part of aerodynamics that considers the calculation of the pressure distribution over an airfoil moving with constant speed while performing an unsteady motion in the direction perpendicular to its plane.
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Derivation of Four-Digit Airfoils from the Sunya Airfoil
Journal of Aircraft, 1997A class of four-digit airfoil profiles is obtained on the basis of Ramamoorthy's (1995) 'Sunya' airfoil analytical representation. It is shown that the Sunya airfoil, described by a simple analytical expression, may be considered as a standard for all single-parameter airfoils.
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