Numerical analysis of three-dimensional particle-laden flow equations
Abstract
A general numerical method for solving the full 3-D dusty gas viscous flow equations was developed. The dusty gas equations are numerically integrated forward in time by using the time-dependent MacCormack explicit predictor-corrector scheme. The numerical method was validated by computing the pure gas flowfield around a sphere at supersonic flow conditions and comparing these with existing experimental data and other numerical method solutions. Very good agreement is obtained. Two-phase flow results were calculated for a sphere for various combinations of freestream Mach numbers of 1.5 and 3, freestream loading ratios of 0.2 and 0.5, and particle radius of 1, 2, and 5 microns. In addition, flow solutions for a 3-D blunt body at angles of attack of 0, 5, and 10 degrees were also computed with a freestream Mach number of 1.5, a freestream loading ratios of 0.5 and a particle radius of 2 microns. Based on the present results, the following trends were identified: (1) the shock standoff distance is found to decrease and the stagnation properties are found to increase with increasing freestream loading ration and with decreasing particle radius; (2) the gas phase flowfield properties are only slightly different from that of a pure gas flowfield for a flow with a particle radius of 5 microns; and (3) the differences between pure gas and gas-particle flow results decrease with increasing freestream Mach number.
- Publication:
-
Ph.D. Thesis
- Pub Date:
- February 1990
- Bibcode:
- 1990PhDT........37C
- Keywords:
-
- Blunt Bodies;
- Flow Distribution;
- Flow Equations;
- Gas Flow;
- Predictor-Corrector Methods;
- Three Dimensional Flow;
- Two Phase Flow;
- Viscous Flow;
- Angle Of Attack;
- Dust;
- Free Flow;
- Mach Number;
- Spheres;
- Supersonic Flow;
- Time Dependence;
- Fluid Mechanics and Heat Transfer