Operational methods in the theory of airfoils in non-uniform motion

✍ Scribed by William R. Sears

• Book ID: 104132271
• Publisher: Elsevier Science
• Year: 1940
• Tongue: English
• Weight: 578 KB
• Volume: 230
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/s0016-0032(40)90651-2

✦ Synopsis

In this paper Heaviside's operators are employed to obtain the following results:

I. New integral expressions convenient for numerical calculation are obtained for the lift and circulation of a twodimensional thin airfoil following a sudden change of its angle of attack or velocity.

2. Approximate expressions are obtained for the initial and final behaviors of these functions.

3. The circulation function is shown to be identical with the function that expresses the lift of an airfoil during and following its entrance into a sharp-edged vertical gust.

It appears that in problems concerning the non-uniform motion of two-dimensional thin airfoils the mathematical analysis is most conveniently carried out by the use of Heaviside's operators.