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Fluid motion inside a spinning nutating cylinder

Published online by Cambridge University Press:  20 April 2006

Harold R. Vaughn ,
William L. Oberkampf  and
Walter P. Wolfe
Harold R. Vaughn
Affiliation:
Aeroballistics Division 1631, Sandia National Laboratories, Albuquerque, New Mexico 87185
William L. Oberkampf
Affiliation:
Aeroballistics Division 1631, Sandia National Laboratories, Albuquerque, New Mexico 87185
Walter P. Wolfe
Affiliation:
Aeroballistics Division 1631, Sandia National Laboratories, Albuquerque, New Mexico 87185
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Abstract

The incompressible three-dimensional Navier–Stokes equations are solved numerically for a fluid-filled cylindrical cannister that is spinning and nutating. The motion of the cannister is characteristic of that experienced by spin-stabilized artillery projectiles. Equations for the internal fluid motion are derived in a non-inertial aeroballistic coordinate system. Steady-state numerical solutions are obtained by an iterative finite-difference procedure. Flow fields and liquid induced moments have been calculated for viscosities in the range of 0.9 × 104−1 × 109 cSt. The nature of the three-dimensional fluid motion inside the cylinder is discussed, and the moments generated by the fluid are explained. The calculated moments generally agree with experimental measurements.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 150 , January 1985 , pp. 121 - 138
Copyright
© 1985 Cambridge University Press

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