Axially Symmetric Incompressible Shaped Charge Jets
ARMY BALLISTIC RESEARCH LAB ABERDEEN PROVING GROUND MD
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Basic equations governing the behavior of an axially symmetric, incompressible jet without body forces are presented. The jet is modeled both as an isotropic, Newtonian fluid and as a visco-plastic material. The governing equations are normalized, standard nondimensional groups are defined and an order of magnitude analysis is performed for both the Newtonian fluid and visco- plastic representation of the stress tensor. The two models for the stress tensor are compared and shown to be equivalent for small values of the yield stress in pure stress. For incompressible flow, the energy and state equations decouple from the continuity and momentum equations providing a simplified set of governing equations for both models of the stress tensor. For the Newtonian fluid assumption, an analogy to unsteady boundary layer theory is made.
- Numerical Mathematics
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