Side Moment Exerted by a Spinning, Coning, Highly Viscous Liquid Payload
ARMY BALLISTIC RESEARCH LAB ABERDEEN PROVING GROUND MD
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Four liquid payload theories--Stewartson S, Stewartson-Wedemeyer SW, Kitchens-Gerber-Sedney KGS, and Hall-Sedney-Gerber HSG--are developed within a single unifying framework. Equations are presented that form the basis of interactive computer programs. These programs apply the SW, KGS, and HGS, HSG theories not only to their original domain, fully filled cylinders, but to partially filled cylinders, cylinders with a central rod and cylinders containing two liquids. Side moment coefficients from the relatively simple KGS calculations are shown to be a good approximation to results from the more exact HSG theory. Keywords Liquid side moment, Liquid-filled cylinder, Liquid payload, Spinning projectile, Coning projectile, Flight instability.
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