Steady flow of a fluidsolid mixture between parallel plates
Abstract
In Part 1, a mathematical description for a flowing mixture of solid particulates and a fluid is developed within the context of Mixture Theory. Specifically, the equations governing the flow of a twocomponent mixture of a Newtonian fluid and granular solid are derived. These relatively general equations are then reduced to a system of coupled ordinary differential equations describing steady flow of the mixture between flat plates. The resulting boundary value problem is solved numerically and results are presented for cases in which drag and lift interactions are important. Part 2 gives an overview of the methods used to obtain the numerical solutions. Multiple shooting, finite difference, and collocation methods for solving boundary value problems involving ordinary differential equations are discussed. A method for applying integral boundary conditions is then presented. Finally, the relative efficiency and effectiveness of the methods is discussed.
 Publication:

Unknown
 Pub Date:
 May 1991
 Bibcode:
 1991sffs.rept.....J
 Keywords:

 Boundary Value Problems;
 Flat Plates;
 FluidSolid Interactions;
 Granular Materials;
 Newtonian Fluids;
 Parallel Plates;
 Steady Flow;
 Two Phase Flow;
 Boundary Conditions;
 Collocation;
 Differential Equations;
 Drag;
 Finite Difference Theory;
 Mathematical Models;
 Fluid Mechanics and Heat Transfer