Pa. Kuibin et Vl. Okulov, SELF-INDUCED MOTION AND ASYMPTOTIC-EXPANSION OF THE VELOCITY-FIELD INTHE VICINITY OF A HELICAL VORTEX FILAMENT, Physics of fluids, 10(3), 1998, pp. 607-614
A derivation of an expression for the self-induced velocity of a helic
al vortex filament with moderate and small pitch is presented for the
cases of an infinite space as well as a space bounded by a cylindrical
tube. This result supplements the known Kelvin's formula for helix wi
th large pitch in an infinite space. (C) 1998 American Institute of Ph
ysics.