Circulation distribution for six- and eight-bladed propellers

Abstract

The general formulae for determining the circulation function for a finite number of blades, as given by Go I d s t e i n, has been evaluated for si-x-. and eight-bladed propellers. The values of Bessel functions necessary for this purpose were computed, as the authors were not aware of any known tables listing them.Notation R Radius of the propeller blade. w Angular velocity of the blade. r Distance of any blade element from the axis of rotation.r* = T/R. Dimensionless radius parameter, i.e. 0 < r* < 1.v Velocity of advance of the propeller. w Velocity of the vortex screw surface, moving as a rigid body in the direction of its axis. I" = osr]»; 1"0 = wR/v. Ai = vlwR Advance ratio. I n(t) Modified Bessel function of the first kind. Kn(t) Modified Bessel function of the second kind.Z Number ot blades.r Circulation round any blade element.