This work evaluates the relative significance of forces determining the motion of a pulverized coal particle under conditions representative of a pressurized oxy-coal combustor. The gravity force and surface forces of drag, fluid stress, added mass, and Basset history are discussed and appropriate forms of these force equations are chosen, with a consideration of spherical and non-spherical drag and the Basset history kernel. Studies from the literature that emphasize specific forces are used to validate the implementation of the force equations and correlations. Modeling is based on time-averaged, one-dimensional motion of a single non-reacting particle along the centerline of a round, turbulent jet. The numerical methodology employed for solving the particle equation of motion is described in detail, and simulated particle motion is compared to experimental and high-fidelity simulations from the literature. Comparisons show the numerical methodology performs adequately relative to higher fidelity simulations and experimental test cases for one-dimensional, time-invariant conditions. To assess the effect of pressure on particle forces and motion under different conditions, simulation cases are run for particle diameters of 20 μm, 50 μm, 125 μm, gas temperatures of 300 K and 1500 K, and gas pressures of 1.01325 bar, 2 bar, 5 bar, 10 bar, 20 bar, 40 bar. Simulations are conducted over a 0.75-m length in a simplified environment representative of the pressurized oxy-coal (POC) combustor at Brigham Young University. Results show that all surface forces examined can be locally significant at high gas pressures when particle and gas velocity differences, i.e., particle Reynolds numbers, are greatest. The following trends are found for the behavior of surface forces in simplified, POC combustor simulations: 1) The quasi-steady drag force is always significant, though it's relative contribution to particle motion decreases as particles traverse regions with significant fluid velocity gradients or significant values for the substantial derivative of fluid velocity. Furthermore, quasi-steady drag is the only surface force that is significant throughout the entirety of a particle's trajectory. The relative contribution of the drag force decreases with increasing gas pressure. 2) The impact of the fluid stress force on particle motion increases with increasing gas pressure and particle size. The fluid stress force can be locally important for all of the particles sizes when at a gas temperature of 300 K and elevated pressure, as particles traverse regions with significant substantial derivatives of fluid velocity. The local impact of the fluid stress force is largely negligible at 1500 K, except for the case of the largest particle at the greatest pressure. 3) The behavior of the added mass force largely mirrors that of the fluid stress force, though the added mass force is generally of lesser magnitude. Therefore, the added mass force can be locally important for all of the particles sizes when at a gas temperature of 300 K and elevated pressure, as particles traverse regions with significant substantial derivatives of fluid velocity. The added mass force is generally the least significant of the analyzed surface forces. 4) The Basset history force is locally significant for all cases where the particles are traversing regions with significant fluid velocity gradients. The impact of the Basset history force on particle motion increases with increasing gas pressure and particle size, while decreasing as gas temperature increases.
| Identifer | oai:union.ndltd.org:BGMYU2/oai:scholarsarchive.byu.edu:etd-11083 |
| Date | 14 August 2023 |
| Creators | Peterson, Donald E. |
| Publisher | BYU ScholarsArchive |
| Source Sets | Brigham Young University |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | Theses and Dissertations |
| Rights | https://lib.byu.edu/about/copyright/ |
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