SECOND-ORDER MOMENT MODEL FOR DENSE TWO-PHASE TURBULENT FLOW OF BINGHAM FLUID WITH PARTICLES

• Published in: Applied mathematics and mechanics Vol. 27; no. 10; pp. 1373 - 1381
• Main Author: 曾卓雄 周力行 刘志和
• Format: Journal Article
• Language: English
• Published: Department of Engineering Mechanics,Tsinghua University,Beijing 100084,P.R.China 01.10.2006; Department of Mechanical Engineering,Nanchang Institute of Aeronautical Technology,Nanchang 330034,P.R.China%Department of Mechanical Engineering,Nanchang Institute of Aeronautical Technology,Nanchang 330034,P.R.China
• Subjects: Bingham流体; Computational fluid dynamics; Computer simulation; Fluid flow; Fluids; Mathematical models; Turbulence; Turbulent flow; Yield stress; 二阶力矩模型; 产率应力; 双相流; yield stress; Bingham fluid; second-order moment model; two-phase flow
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-006-1009-z

The USM-θ model of Bingham fluid for dense two-phase turbulent flow was developed, which combines the second-order moment model for two-phase turbulence with the particle kinetic theory for the inter-particle collision. In this model, phases interaction and the extra term of Bingham fluid yield stress are taken into account. An algorithm for USM-θ model in dense two-phase flow was proposed, in which the influence of particle volume fraction is accounted for. This model was used to simulate turbulent flow of Bingham fluid single-phase and dense liquid-particle two-phase in pipe. It is shown USM-θ model has better prediction result than the five-equation model, in which the particle-particle collision is modeled by the particle kinetic theory, while the turbulence of both phase is simulated by the two-equation turbulence model. The USM-θ model was then used to simulate the dense two-phase turbulent up flow of Bingham fluid with particles. With the increasing of the yield stress, the velocities of Bingham and particle decrease near the pipe centre. Comparing the two-phase flow of Bingham-particle with that of liquid-particle, it is found the source term of yield stress has significant effect on flow.