{"title":"Finite Element Prediction of Multi-Size Particulate Flow through Two-Dimensional Pump Casing ","authors":"K. V. Pagalthivarthi, R. J. Visintainer","volume":76,"journal":"International Journal of Mechanical and Mechatronics Engineering","pagesStart":736,"pagesEnd":750,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/9997096","abstract":"
Two-dimensional Eulerian (volume-averaged) continuity and momentum equations governing multi-size slurry flow through pump casings are solved by applying a penalty finite element formulation. The computational strategy validated for multi-phase flow through rectangular channels is adapted to the present study. The flow fields of the carrier, mixture and each solids species, and the concentration field of each species are determined sequentially in an iterative manner. The eddy viscosity field computed using Spalart-Allmaras model for the pure carrier phase is modified for the presence of particles. Streamline upwind Petrov-Galerkin formulation is used for all the momentum equations for the carrier, mixture and each solids species and the concentration field for each species. After ensuring mesh-independence of solutions, results of multi-size particulate flow simulation are presented to bring out the effect of bulk flow rate, average inlet concentration, and inlet particle size distribution. Mono-size computations using (1) the concentration-weighted mean diameter of the slurry and (2) the D50 size of the slurry are also presented for comparison with multi-size results.<\/p>\r\n","references":"[1]\tM.C. Roco and G. R. Addie \"Analytical Model and Experimental Study on Slurry Flow and Erosion in Pump Casings,\u201d Slurry Transportation, STA, vol. 8, pp. 263-271, 1983.\r\n[2]\tM.C. Roco, and C. A. Shook, \"Computational Model for Coal Slurry Pipelines with Heterogeneous Size Distribution,\u201d Powder Technology, vol. 39, pp. 159-176, 1984.\r\n[3]\tG.R. Addie, and K. V. Pagalthivarthi, \"Prediction of Dredge Pump Shell Wear,\u201d in: Proc. 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