A numerical simulation model for transient two-phase flow in a pipeline
Abstract
A mathematical model was developed to simulate isothermal, transient two-phase 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, well-posed 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 two-phase 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