A numerical simulation model for transient twophase flow in a pipeline
Abstract
A mathematical model was developed to simulate isothermal, transient twophase flow of gas and liquid in a pipeline. A system of three nonlinear partial differential equations was derived as a basis for the model. Characteristics analysis indicates that the differential system is hyperbolic and, thus, wellposed as an initial value problem. After some rearrangement of the differential system and a change of variables, the desired forms of the model equations were approximated by implicit finite difference analogues. A sequential solution algorithm was developed for the difference equations and programmed for computer usage. Experimental transient twophase flow data were obtained and were used to establish the validity of the mathematical model.
 Publication:

Ph.D. Thesis
 Pub Date:
 1977
 Bibcode:
 1977PhDT.......134S
 Keywords:

 Mathematical Models;
 Pipes (Tubes);
 Two Phase Flow;
 Algorithms;
 Continuity Equation;
 Finite Difference Theory;
 Partial Differential Equations;
 Fluid Mechanics and Heat Transfer