The numerical solution of the transient two-phase flow in rigid pipelines

International Journal for Numerical Methods in Fluids

Volumn 29, Issue 5, 1999, Pages 501-514

  Hadj Taieb, Ezzeddine ^a   Lili, Taieb ^b  

^a UNIVERSITY OF SFAX   (Tunisia)

^b FACULTÉ DES SCIENCES DE TUNIS   (Tunisia)

Author keywords

Characteristics method; Finite differences scheme; Transient flow; Two phase flow

Indexed keywords

MATHEMATICAL ANALYSIS; PIPELINE; TRANSIENT FLOW; TWO-PHASE FLOW;

EID: 0345425704     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0363(19990315)29:5<501::AID-FLD716>3.0.CO;2-8     Document Type: Article

References (15)

1. I.J. Campbell and A.S. Pitcher, 'Shock waves in liquid containing gas bubbles', Proc. Roy. Soc. Lon., 243, 534-545 (1958).
2. C.S. Martin, M. Padmanabhan and D.C. Wiggert, 'Pressure wave propagation in two-phase bubbly air-water mixtures', 2nd Int. Conf. on Pressure Surges, City University, London, UK, Paper C1, 1976, pp. 1-16.
3. M.H. Chaudry, S.M. Bhallamudi, C.S. Martin and M. Naghash, 'Analysis of transient in bubbly homogeneous, gas-liquid mixtures', ASME J. Fluids Eng., 112, 225-231 (1990).
4. D.C. Wiggert and M.J. Sundquist, 'The effect of gaseous cavitation on fluid transients', ASME J. Fluids Eng., 101, 79-86 (1979).
5. H. Pascal, 'Compressibility effect in two-phase flow and its application to flow metering with orifice plate and convergent-divergent nozzle', Trans. ASME J. Fluids Eng., 105, 394-399 (1983).
6. V.L. Streeter and E.B. Wylie, Hydraulic Transients, FEB Press, Ann Arbor, 1982.
7. M.B. Abbott, An Introduction to the Method of Characteristics, Elsevier, New York, 1966.
8. S. Stuckenbruck and D.C. Wiggert, 'Unsteady flow through flexible tubing with coupled axial wall motion', 5th Int. Conf., on Pressure Surges, Hannover, Germany, Sept. 11-17, 1986.
9. F.B.F. Rachid and S. Stuckenbruck, 'Transient in liquid and structure in viscoelastic pipes', 6th Int. Conf. on Pressure Surges, Cambridge, UK, Paper C2, 1989.
10. A.S. Tijsselmg and C.S.W. Lavooij, 'Fluid-structure interaction and column separation in a straight elastic pipe', 6th Int. Conf. on Pressure Surges, Cambridge, UK, Paper A2, 1989.
11. P.D. Lax and B. Wendroff, 'Difference schemes for hyperbolic equations with high order of accuracy', Comm. Pure Appl. Math., 17, 381-398 (1966).
12. A. Lerat and R. Peyret, 'Sur le choix des schémas aux différences du second ordre fournissant des profils de choc sans oscillations', CR Acad Sc Paris t., 277, (1973).
13. E. Hadj-Taieb and T. Lili, 'Transients in flexible pipes with gas release', 7th Int. Conf. on Pressure Surges and Fluid Transients in Pipelines end Open Channels, Harrogate, UK, 1996, pp. 109-118.
14. J. Stoer and R. Burlisch, Introduction to Numerical Analysis, Springer, Berlin, 1983.
15. T. Strelkoff, 'Numerical solution of Saint-Venant equations', J. Hydraul. Div. ASCE, 96, (HY1), 223-252 (1970).