원통형 난류반응기에서 고체입자들을 동반하는 기체가 고속으로 주입될 때 기체들간의 혼합정도나 고체입자들의 분사도 및 단순화된 기체-고체 반응에 의한 고체입자의 전환율 등을 예측하기 위한 수치모델을 개발하였다. 설정된 수치모델에 의한 모사를 위하여 k-ε난류모델을 도입하였고, 해석법으로는 유한체적 적분법(finite volume integral method)를 사용하였으며, 기체 운동량 방정식의 압력구배항의 보정을 위하여 SIMPLER 알고리듬을 이용하였다. 고체입자의 동특성 측정에 대해서는 Lagrangin 계의 해석법을 이용하여 고체입자의 운동괘적을 추적하였으며, 입자의 분산도 예측을 위해서는 기체상의 경우처럼 Eulerian계의 해석법에 의해 입자밀도를 계산하였다. 수치모델의 활용범위는 분무화(atomization)공정, 자용 광업공정 및 안료제조 공정 등에 다양하게 활용될 수 있을 것으로 기대된다.

A mathematical model that combines turbulent phenomena of particle-laden gas jets and chemical reactions has been developed to predict gas mixing and solid reaction in a two-dimensional cylindrical system. A simplified gas-solid reaction model and isothermality were introduced to simplify model predictions. The gas field was viewed from an Eulerian frame work. The k-ε model was used for the prediction of turbulent behavior. The SIMPLER algorithm was also used for the correction of pressure gradient in the gas-phase momentum equation with the continuity equation. Lagrangian treatment of the particles was performed, pre-senting the particle field as a series of the trajectories. Particle dispersion in the turbulent gas field is modeled through the particle number density. The application of the developed mathematical model can be found in the atomization process, flash-smelting process, carbothermal reduction process, and the oxidation process of inorganic materials for the production of pigments.

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