Unsteady Fluid Motion in Liquid Filled Projectiles
Final rept. Dec 90-Sep 93
OHIO STATE UNIV RESEARCH FOUNDATION COLUMBUS
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For spinning and coning cylinders with liquid payloads, we established the Unified Approach based on our spatial eigenfunction expansion method as a powerful tool for studies of two types of instability instability caused by large viscous stresses at low Reynolds numbers and instability owing to resonance with inertial waves at medium and high Reynolds numbers. The applications of the Unified Approach to completely filled cylinders, partially-filled cylinders, cylinders with a central rod, and cylinders with two immiscible fluids successfully demonstrated interesting physical mechanisms such as resonances and produced useful results for future experiments and designs. We also performed inviscid analyses and computations by spectral collocation method as complementary studies for the Unified Approach. We developed unsteady three-dimensional Navier Stokes codes and employed them to simulate spin down experiments. We made progress in the moment calculation for silicone fluids, and investigated multiple states and the stability of flows in loosely coiled pipes.
- Fluid Mechanics