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The Velocity Distribution on a Polynomial Mean Line and the Converse

Published online by Cambridge University Press:  04 July 2016

R. P. Llewelyn
R. P. Llewelyn*
Affiliation:
Aerodynamics Dept., Avro-Whitworth Division, Hawker Siddeley Aviation Ltd.
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Extract

Interest in sail design has recently stimulated some work, using thin aerofoil theory, to obtain the velocity distribution on simple polynomial mean lines. In particular in reference 1, a solution has been obtained for a cubic mean line. There is an omission in equation (3) of this reference where an x should appear in the numerator outside the curly bracket. (The equation is subsequently used in its correct form).

In the present note a general solution is obtained for polynomial mean lines. It is demonstrated by applying the result to Boyd's equation (3).

Type
Technical Notes
Information
The Aeronautical Journal , Volume 68 , Issue 637 , January 1964 , pp. 57 - 58
Copyright
Copyright © Royal Aeronautical Society 1964

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References

1.Boyd, E. A. Generalisation of the Condition for Waviness in the Pressure Distribution in a Cambered Plate. Journal of the Royal Aeronautical Society, August 1963.Google Scholar
2.Table of Integrals. TIB/MISC/873, Ministry of Supply, September 1948.Google Scholar
3.Weber, J. The Calculation of the Pressure Distribution Over the Surface of Two Dimensional and Swept Wings With Symmetrical Aerofoil Sections. ARC Tech. Rep. R & M No. 2918.Google Scholar
4.Llewelyn, R. P. The Camber and Twist Near the Centre of an Infinite Swept Wing Carrying a Two Dimensional Flat Plate Load Distribution. Hawker Siddeley Aviation Ltd., Avro Whitworth Division, Coventry, Ref. No. R290, October 1962.Google Scholar
5.Llewelyn, R. P. The Load Distribution on Polynomial Camber Lines, and the Converse, Derived from Thin Aerofoil Theory. Hawker Siddeley Aviation Ltd., Avro Whitworth Division, Coventry, GEN/35, April 1963.Google Scholar