Jingjing Chen, Apurv Kumar, Joe Coventry, Wojciech Lipiński, 'Heat transfer in directly-irradiated high-temperature solid–gas flows laden with polydisperse particles', Applied Mathematical Modelling, Volume 110, Pages 698-722, 2022 https://doi.org/10.1016/j.apm.2022.05.034. (https://www.sciencedirect.com/science/article/pii/S0307904X22002530)

Abstract: Heat transfer in directly-irradiated high-temperature solid–gas flows laden with polydisperse particles is investigated using a novel transient three-dimensional computational fluid dynamics model. The model couples particle–gas hydrodynamics of solid–gas flows laden with polydisperse particles, radiative heat transfer in non-grey absorbing, emitting and anisotropically-scattering multi-component participating media, conduction heat transfer in the gas phase, and interfacial convection heat transfer. The multiphase particle-in-cell method is used to predict high-fidelity solid–gas flow characteristics, such as the local discrete particle size distribution, with increased computational efficiency by combining the advantages of both Eulerian and Lagrangian methods. The multi-component radiative transfer model is implemented using an advanced collision-based Monte Carlo ray-tracing method. The number of the prescribed discrete particle components is found to be the key parameter affecting the computational accuracy and efficiency, which primarily depends on the size distribution of the particles. For the model particle–gas flow featuring free-falling Gamma-distributed ceramic particles exposed to concentrated solar irradiation, the particle volume fraction, radiative, fluid flow and thermal characteristics appear to converge with the increasing number of the discrete particle components. Five particle components are sufficient to obtain physically meaningful results. A further increase in the number of the particle components only slightly increases the accuracy of the numerical predictions at the expense of a rapidly increasing computational time. For five particle components, the particle vertical velocity at the receiver exit for particles with the diameter of 43.4μm is 57% of that for the particles with the diameter of 202.8μm. The temperatures of these two particle components increase from the initial ambient values by factors of 2 and 1.2, respectively, during the simulation time. The model developed allows for increased fidelity of particle–gas flow simulations with significant radiative effects.
Keywords: Particle–gas flow; Polydispersion; Particle-in-cell method; Radiative heat transfer; Monte Carlo method