Computation of Liquid Drops Geometry with Motion of the Contact Curves

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dc.contributor.advisorTreinen, Raymond F.
dc.contributor.authorMcCray, Gilbert C.
dc.contributor.committeeMemberDix, Julio G.
dc.contributor.committeeMemberWelsh, Stewart C.
dc.date.accessioned2017-09-06T13:52:37Z
dc.date.available2017-09-06T13:52:37Z
dc.date.issued2017-08
dc.description.abstractThis paper covers the modeling of homogenous liquids adhering to a uniform solid surface. It is divided into two separate problems: the sessile drop on a horizontal plane, and the liquid bridge between two horizontal planes held apart at a fixed distance. We prove a volume formula for both problems. We use numerical methods to solve the differential equations that describe the surface of the liquid. We use a model to compute velocity along the contact line, which is the rate at which the liquid expands along the solid surface. We study the issue of the receding and advancing along the plate or plates.
dc.description.departmentMathematics
dc.formatText
dc.format.extent69 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationMcCray, G. C. (2017). <i>Computation of liquid drops geometry with motion of the contact curves</i> (Unpublished thesis). Texas State University, San Marcos, Texas.
dc.identifier.urihttps://hdl.handle.net/10877/6797
dc.language.isoen
dc.subjectSessile drop
dc.subjectLiquid bridge
dc.subjectContact line
dc.subjectContact angle
dc.subject.lcshGeometryen_US
dc.subject.lcshSurface chemistryen_US
dc.subject.lcshCapillarityen_US
dc.titleComputation of Liquid Drops Geometry with Motion of the Contact Curves
dc.typeThesis
thesis.degree.departmentMathematics
thesis.degree.disciplineApplied Mathematics
thesis.degree.grantorTexas State University
thesis.degree.levelMasters
thesis.degree.nameMaster of Science

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