Volume Averaged Two-Phase (Gas Solid) Interior Ballistics Equations
Abstract
This report presents a complete mathematical derivation of governing equations for two-phase (gas-solid) interior ballistic flows. The derivation is based on instantaneous weighted volume averaging of local conservation equations, and it contains a complete discussion of errors that are introduced by the averaging. Initial conditions and boundary conditions that are consistent with the averaging procedure are discussed. The final form of the equations is chosen to facilitate their numerical solution. For the compressible gas phase, the three-dimensional average equations model the transient effects of viscosity, heat conduction and turbulence, and for the incompressible solid phase they model the intergranular stress, ignition and burning. The interaction between the phases is reflected by models for drag, heat transfer and source terms. Commonly used and new experimental and theoretical correlations are listed and discussed. These correlations complete the set of equations for the numerical modeling of interior ballistics flows. The exposition of the theoretical basis of averaged equations shows that for the resolution of interior ballistic boundary layers the model is applicable only to two-phase flows with minute particles (smaller than the gas boundary layer). When large particles exist in the flow, then the resolution of boundary layers could possibly be performed by phenomenological engineering approximations.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1984
- Accession Number
- ADA147489
Entities
People
- A. K. Celmins
- J. A. Schmitt
Organizations
- Ballistic Research Laboratory