The formulation of a co-located equal-order Control-Volume-based Finite Element Method (CVFEM) for the solution of two-fluid models of two-dimensional, planar or axisymmetric, incompressible, gas-solid particle flows is presented in this thesis. The main focus is on the development of a numerical method that allows computer simulation of gas-solid particle flows over a wide range of solid-phase volume concentration in complex irregular geometries. / A general two-fluid mathematical model is presented. This model is essentially borrowed from published works in the area of granular flows. It is established here that this model is applicable to gas-solid flows over a wide range of solid-phase concentration. The governing equations of the fluid phase are obtained by volume averaging the Navier-Stokes equations for an incompressible fluid. The solid-phase macroscopic equations are derived using an approach that has been successfully used earlier for the description of granular materials, and is based on the kinetic theory of dense gases. This approach accounts for particle/particle collisions, and permits the determination of the solid-phase macroscopic properties such as viscosity and pressure. / The proposed CVFEM is formulated by borrowing and extending ideas put forward in earlier CVFEMs for single-phase flows. In axisymmetric problems, the calculation domain is discretized into torus-shaped elements and control volumes: in a longitudinal cross-sectional plane, or in planar problems, these elements are three-node triangles, and the control volumes are polygons obtained by joining the centroids of the three-node triangles to the midpoints of the sides. In each element, mass-weighted skew upwind functions are used to interpolate the volume concentrations. An iterative variable adjustment algorithm is used to solve the discretized equations. / The chosen mathematical model, along with its specializations to single-phase flows and dilute gas-solid flows, and the proposed CVFEM have been applied to several test problems and some demonstration problems. These test and demonstration problems include single-phase flows, dilute-concentration gas-solid particle flows and dense-concentration gas-solid particle flows. The CVFEM results have been compared with results of independent numerical and experimental investigations whenever possible. These comparisons and the results of the demonstration problems are quite encouraging.
| Identifer | oai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:QMM.41710 |
| Date | January 1993 |
| Creators | Masson, Christian |
| Contributors | Baliga, B. R. (advisor) |
| Publisher | McGill University |
| Source Sets | Library and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada |
| Language | English |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Format | application/pdf |
| Coverage | Doctor of Philosophy (Department of Mechanical Engineering.) |
| Rights | All items in eScholarship@McGill are protected by copyright with all rights reserved unless otherwise indicated. |
| Relation | alephsysno: 001393368, proquestno: NN94682, Theses scanned by UMI/ProQuest. |
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