Investigation of moving interface problems in slow moving viscous flows using finite elements. (English) Zbl 0626.76045
Computational techniques and applications, Proc. 2nd Conf., Melbourne/Aust. 1985, 393-404 (1986).
[For the entire collection see Zbl 0616.00011.]
The occurrence of a moving interface or boundary which separates two regions having different flow properties is common in many problems of fluid flow. In this work a finite element model is used to model a two- dimensional flow domain. In order to overcome the instability that is caused by having an adverse viscosity ratio between the two fluids, the influence of interfacial tension is introduced into the model. The technique is used to model a Hele-Shaw cell flow and the results are compared with an exact mathematical solution for this problem. Also, the “Five Spot” problem which arises in secondary oil recovery, has been modelled for a range of mobility ratios and comparisons are made with results obtained from experimental models or analogs.
The occurrence of a moving interface or boundary which separates two regions having different flow properties is common in many problems of fluid flow. In this work a finite element model is used to model a two- dimensional flow domain. In order to overcome the instability that is caused by having an adverse viscosity ratio between the two fluids, the influence of interfacial tension is introduced into the model. The technique is used to model a Hele-Shaw cell flow and the results are compared with an exact mathematical solution for this problem. Also, the “Five Spot” problem which arises in secondary oil recovery, has been modelled for a range of mobility ratios and comparisons are made with results obtained from experimental models or analogs.
MSC:
| 76D10 | Boundary-layer theory, separation and reattachment, higher-order effects |
| 76M99 | Basic methods in fluid mechanics |
