Abstract:
Modulation of dispersed particles on the carrying fluid is a common phenomenon in aeronautic and aerospace engineering, including the ablation particle-laden boundary layer, the particles of solid fuel combustion in the rocket engine and the droplets of liquid fuel. Although theoretical, numerical and experimental studies on the particle laden incompressible flow have been well established, the particle laden compressible flow is distinctly different. In view of this, it is necessary to conduct a theoretical study on the dynamics and thermodynamics of particle laden compressible flow. We established the theoretical equations, and discovered the unique particle modulation parameters which are different from those of the incompressible counterpart. By considering the extreme mechanical environmental condition, the particle dynamic and thermodynamic equations have been derived and coupled to the governing equations of the carrying phase. It is found that, even with complicate multi-physics effects, the pathway of particle modulation on the compressible flow is deterministic, i.e., the carrying fluid momentum is modulated by the drag force of particles, while the energy is exchanged due to the work done by the drag force as well as the thermal convection. The present study lays a theoretical foundation for developing the particle solver for compressible flow.