Numerical Treatment of Finite Rotation for a Cylindrical Particle

Abstract

A problem for a rotation of a rigid cylindrical body in a medium is analyzed based on the laws of dynamics. The resistance moment is taken into account. For the numerical solution equations governing the rotary motion are formulated in terms of the right angular velocity and the rotation vector. The equations are solved numerically applying the Runge-Kutta method. The results illustrate the time variation of the unit vector spanned on the longitudinal axis of the body. By neglecting the moment of viscous friction the numerical results agree well with the classical analytical solution.