Two-phase Hele-Shaw flow with a moving contact line
- Pennsylvania Univ., Philadelphia, PA (USA). Dept. of Chemical Engineering
- Schlumberger-Doll Research Center, Ridgefield, CT (USA)
An asymptotic analysis is presented for Hele-Shaw viscous fingering with a moving contact line at flow rates. As in problems where a thin film is present instead of a contact line, the narrow gap limit is nonuniform, and interfacial boundary conditions valid for the Hele-Shaw equations must be determined in order to predict the flow field and interface shape. Many well-posed boundary-value problems can be identified, each corresponding to a different flow regime characterized by the relative sizes of the capillary number (dimensionless velocity) and the dimensionless gap width. These problems incorporate terms corresponding to the gapwise component of the interfacial curvature (the curvature in the cross-sectional view of the Hele-Shaw cell) and spanwise curvature (seen in the top view of the cell) in different ways. Nonunique interface solutions typically arise as in the analogous thin film problems. The relationships between the curvature terms, the spectra of allowable solutions, and the implications for stability are discussed.
- OSTI ID:
- 5534306
- Report Number(s):
- CONF-881143--
- Country of Publication:
- United States
- Language:
- English
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