Reconstruction of the internal volume fraction for particle-liquid system from imaging indicators by refractive index matching
Refractive index matching(RIM)is widely used to investigate particle-liquid mixture flows.However,determining the volume fraction φ in RIM is generally empirical and lacks theoretical or experimental basis.To reasonably reconstruct the internal φ,this study performs systematic calibration experiments to study the relationship between φ and the imaging indicators.The results show that the model based on area fraction c2D will induce a large error for low φ owing to the instability of the particle's apparent size.The traditionally adopted proportional function φ=ac2D is only valid for φ near the calibration point.A predictive model is proposed based on the size of the Voronoi cell,dpoly,which proves to be more accurate and stable in RIM experiments.The dpoly-based model is applied to dense granular flows down an inclined plane to study the internal profiles of φ and the bottom normal stress.
Refractive index matchingVolume fractionArea fractionVoronoi diagramInclined flow
孙云辉、焦佳珺、安翼、王晓亮、刘青泉
展开 >
School of Aerospace Engineering,Beijing Institute of Technology,Beijing 100081,China
Key Laboratory for Mechanics in Fluid Solid Coupling Systems,Institute of Mechanics,Chinese Academy of Sciences,Beijing 100190,China
Refractive index matching Volume fraction Area fraction Voronoi diagram Inclined flow