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The Quarterly Journal of Mechanics and Applied Mathematics 1951 4(1):64-77; doi:10.1093/qjmam/4.1.64
© 1951 by Oxford University Press
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THE EFFECT OF THE NON-UNIFORMITY OF THE STREAM ON THE AERODYNAMIC CHARACTERISTICS OF A MOVING AEROFOIL

E. E. JONES

( The University Nottingham )

The problem of the motion of a cylinder of aerofoil section in an incompressible inviscid fluid, the velocity of which is non-uniform, involves the application of the two-dimensional complex potential fuction theory oto a class of boundary-value problem which has not yet been considered to any great extent. A functional solution of the potential equation is determined, regular in the space external to a simple closed curve, which takes certain values on the boundary of the curve and certain values at infinite distance from this curve. A general solution in the form of a complex potential function is found in terms of these given values and the coefficients determining the profile of the cylinder section.

The forces and couple on the cylinder, which moves in a general manner, are determined by use of the Blasius formulae for a moving cylinder. The effect of a general type of vortex wake extending behind the cylinder is also discussed.

The results are applied to determine the effect of the non-uniformity of the stream on the aerodynamic characteristics of a moving aerofoil having small thickness and camber.


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