Shimizu Aerial Shell Ballistic Predictions, Parts 1 & 2

K.L. and B.J. Kosanke

Introduction: The effect of varying aerial shell and mortar parameters is a frequent topic of discussion in the display fireworks industry. Dr. Takeo Shimizu has published equations describing both internal (within the mortar) and external (after leaving the mortar) aerial shell ballistics1. These equations can be used to make general predictions of the effects of aerial shell and mortar characteristics on shell and mortar performance. Shimizu’s work only addressed spherical shells; however, his equations can be used for cylindrical shells providing an appropriate drag coefficient is used. (For the purposes of this article, the drag coefficient of air resistance for cylindrical shells was assumed to be twice the value used by Shimizu for spherical shells.)

In this article, the authors have used the Shimizu equations in order to determine the relative effects of varying aerial shell and mortar characteristics. In the belief that the results usually left to draw their own conclusions and supply their own rationales. Occasionally, however, this article presents some conclusions or discusses the reasons for the results. Before presenting the results of this study, two subjects must be presented. The first is a general discussion of the reliability of predictions based on mathematical models (equations). The second is an enumeration of nominal aerial shell and mortar input values used in this study.

Ref: Selected Pyrotechnic Publication of K.L. and B.J Kosanke, Part 2, (1990-1992), pp 13-24

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