Euler–Lagrange–Euler Approach for Homogeneous and Heterogeneous Condensing Droplets and Films in Supersonic Separator
摘要
Given the suitability of the Euler–Lagrange–Euler model for capturing and tracking the dynamic characteristics of discrete droplets within a flow field, this chapter develops an Euler–Lagrange–Euler model that accounts for both homogeneous and heterogeneous condensation. By coupling the Euler–Lagrange approach with the Eulerian liquid film model, it numerically simulates the swirling condensation annular flow inside a supersonic separator. The model includes heat and mass transfer interactions among the gaseous phase, droplets, and liquid film in supersonic flows. The incorporation of a homogeneous nucleation and growth model enhances the model’s comprehensiveness. Experimental validation confirmed the proposed model’s feasibility, marking the first exploration of the interaction between heterogeneous and homogeneous condensation in supersonic condensation flow. Results indicate that reducing heterogeneous droplet diameter or increasing concentration significantly inhibits homogeneous condensation. The model facilitated analysis of the supersonic swirl field generation, dynamic evolution of droplet condensation and deposition, liquid film development, and associated heat-mass transfer in the supersonic separator. Sensitivity analysis revealed that the inlet mass flow rate ( \(q_{{\text{p}}}^{{{\text{in}}}}\) ) of heterogeneous droplets determines the maximum film thickness, with a value of approximately 85.2 μm for \(q_{{\text{p}}}^{{{\text{in}}}}\) = 0.001 kg/s. The results also indicated significant improvement in separation efficiency with optimal inlet droplet diameter ( \(d_{{\text{p}}}^{{{\text{in}}}}\) ), mass flow rate ( \(q_{{\text{p}}}^{{{\text{in}}}}\) ), and gas pressure ( \(p_{{{\text{in}}}}\) ). Selecting \(d_{{\text{p}}}^{{{\text{in}}}}\) = 2.2 μm, \(q_{{\text{p}}}^{{{\text{in}}}}\) = 0.0015 kg/s, and \(p_{{{\text{in}}}}\) = 3 atm achieves optimal separation efficiency, with droplet removal rate, vapor removal rate, and dew point depression optimized to 100%, 57.4%, and 29.1 K, respectively.