Interior Fluid Dynamics of Liquid-Filled Projectiles
Abstract
Theoretical and numerical studies were conducted to analyze the flow in spinning and coning liquid-filled payload cylinders and to provide efficient tools for estimating and calculating the liquid moments as input data for flight simulations. Earlier analytical studies for cylinders of large aspect ratio were extended to the nonlinear problem to provide estimates for all moments. This perturbation analysis is currently used to investigate the influence of partial liquid fills, central rods, and two-fluid fills on the moments. A new method was developed to obtain the moments from volume integrals rather than surface integrals and thus increase the accuracy of the results at fixed numerical approximation. An efficient spectral code was developed for routine application to solve the three-dimensional Navier-Stokes equations. Utility of this code for efficient flight simulations has been demonstrated. The code has been applied to investigate liquid moments, velocity field, and pressure field in situations of pure forcing as well as resonance with inertial waves at Reynolds numbers up to 2000. For the linearized problem, a simplified set of equations has been developed that permits closed-form solutions for spatial eigenfunctions and highly efficient solution by spectral methods. Keywords: Projectile stability; Liquid payloads; Aeroballistics.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1989
- Accession Number
- ADA217630
Entities
People
- Thorwald Herbert
Organizations
- Ohio State University