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Title: Flows driven by surface tension with nearby rigid boundaries
Author: Hammond, P. S.
Awarding Body: University of Cambridge
Current Institution: University of Cambridge
Date of Award: 1982
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A number of fluid dynamical calculations are presented as models for various aspects of two-phase flow in porous media. In order to ensure mathematical tractability, only simple, idealized problems are studied. Useful information can however be deduced about the governing physical processes in the more complicated configurations which occur in a real porous medium. The stability to small disturbances of the interface of an infinitely long thread of viscous fluid surrounded by another and confined in a uniform pipe is first considered. Sufficiently long wavelength perturbations are found to be unstable when surface tension acts. A nonlinear analysis in which the outer fluid annulus is assumed thin shows that all disturbances evolve to a steady state in which the outer film has broken up into disconnected lobes. This analysis is extended to model a thread in a constricted tube, and a possible mechanism for its breakup is found. Next, end effects on these processes are discussed, and the adjustment of a stationary droplet in a pipe considered. The theory agrees with published observations. A preliminary analysis of a droplet moving under an applied pressure gradient is then given. Finally, a two-dimensional model problem, in which an interface adjusts inside a circular boundary is presented, and the peeling of the interface from the wall studied. Applications of the model to other problems involving strongly deformed surface tension interfaces are briefly discussed.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available