Tables of Multhopp and other Functions for use in Lifting-Line and Lifting-Plane Theory

摘要

The report gives the derivation arid computed tables of two classes of functions suitable for the solution of problems of spanwise aerodynamic loading of wings either by lifting-line or lifting-plane theory. The functions are based on lifting-line theory, but, by a consideration of the connection between lifting-line- and 'lifting-plane theory through the application of Munk's stagger theorem to the calculation of induced drag, it is deduced that the functions must be equally .suitable for lifting-plane theory.nThe first range of functions, called Multhopp or M functions, is associated with discontinuities'of induced downwash, while the second, called P functions because of the polygonal representation of induced downwash, is connected with discontinuities in rate of change of induced downwash.