Numerical Simulation of Cell Motion in Microchannels

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dc.contributor.advisorPan, Tsorng-Whay
dc.contributor.advisorGlowinski, Roland
dc.contributor.committeeMemberHe, Jiwen
dc.contributor.committeeMemberLiu, Dong
dc.creatorShi, Lingling
dc.date.accessioned2015-08-16T02:04:12Z
dc.date.available2015-08-16T02:04:12Z
dc.date.createdMay 2013
dc.date.issued2013-05
dc.date.updated2015-08-16T02:04:13Z
dc.description.abstractAn immersed boundary method combined with an elastic spring model is applied to simulate the red blood cell (RBC) motion and deformation in bounded Poiseuille flows. As a benchmarking test, the dynamical behavior of a RBC in shear flow is presented. The combined effects of the deformability, the degree of confinement, and the shear gradient of the Poiseuille flow make the RBCs migrate toward a certain cross-sectional equilibrium position, which lies at or off the center line. Two motions of oscillation and swing of RBCs are observed in the narrow channel. Parachute shape and bullet-like shape, depending on the initial angle, coexist for the elliptic shape cell with a low fluid velocity in a narrower channel. The details of the equilibrium shape and position versus the Reynolds number are investigated. Interactions of many cells in Poiseuille flows are studied to examine the size of the cell-free layer and Fahraeus-Lindqvist effect.
dc.description.departmentMathematics, Department of
dc.format.digitalOriginborn digital
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/10657/946
dc.language.isoeng
dc.rightsThe author of this work is the copyright owner. UH Libraries and the Texas Digital Library have their permission to store and provide access to this work. Further transmission, reproduction, or presentation of this work is prohibited except with permission of the author(s).
dc.subjectRed blood cell
dc.subjectElastic spring model
dc.subjectImmersed boundary method
dc.subjectFictitious domain method
dc.subjectLateral migration
dc.subjectDeformations
dc.subjectPoiseuille flow
dc.subjectMicrochannels
dc.subject.lcshMathematics
dc.titleNumerical Simulation of Cell Motion in Microchannels
dc.type.dcmiText
dc.type.genreThesis
thesis.degree.collegeCollege of Natural Sciences and Mathematics
thesis.degree.departmentMathematics, Department of
thesis.degree.disciplineMathematics
thesis.degree.grantorUniversity of Houston
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy

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