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Three dimensional computational modeling and simulation of biological cells and capsules

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Title
Three dimensional computational modeling and simulation of biological cells and capsules
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Doddi
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Sai
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Sai Doddi
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author
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Bagchi
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Advisory Committee
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Prosenjit Bagchi
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Knight
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Advisory Committee
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Knight Knight
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Zebib
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Abdelfattah
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Advisory Committee
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Abdelfattah Zebib
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internal member
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Zahn
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Jeffrey
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Advisory Committee
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Jeffrey Zahn
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outside member
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Rutgers University
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degree grantor
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Graduate School - New Brunswick
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theses
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2008
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2008-10
Language
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English
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electronic
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xxii, 175 pages
Abstract
Three-dimensional computational modeling and simulation are presented on the flow-induced motion of highly deformable particles which are representative of biological cells, such as red blood cells. We focus on the dynamics of capsules, that is, liquid drops surrounded by hyperelastic membranes. Unlike liquid drops where the fluid-fluid interface is characterized by isotropic surface tension, that for a capsule is governed by more complex constitutive laws. The numerical method is based on a front-tracking/immersed boundary method forcapsule deformation, and a finite-difference/fourier-transform method for the flow solver. The methodology is able to consider large deformation of capsules, capsule-capsule interaction, semi-dense suspension, and inertial effect. Using the simulation tool, we address a sequence of problems: (a) Capsule motion in wall-bounded pressure-driven flows: The motion of a capsule in a channel flow is investigated in absence of inertia and under large deformation. It is shown that a deformable capsule slowly drifts lateral to the flow and away from the wall while moving axially with the flow. Based on the theory of small deformation, and the present numerical results, an approximate expression for migration velocity under large deformation is developed. (b) Binary interaction in wall-bounded pressure-driven flows: Hydrodynamic interaction between two capsules in a channel flow is investigated in absence of inertia. Effect of wall proximity on the shear-induced diffusion process, in which one capsule rolls over the other, is studied for spherical and ellipsoidal resting shapes. (c) Effect of inertia on binary collision: Hydrodynamic interaction between two capsules in a linear shear flow is investigated in presence of inertia. The shear-induced diffusion process is shown to be absent. Instead, a new interaction mode is found in which the capsules engage in spiraling motion. (d) Simulation of semi-dense suspension: We then consider direct numerical simulations (DNS) of suspension of multiple capsules of spherical and biconcave resting shapes. Detailed analysis of the numerical results and their relevance to in vitro blood flow are presented. It is shown that the two-phase model of blood in microvessels underpredicts the DNS flow rate. We proceed to develop a three-layer model based on the microrheology extracted from the DNS, and show that it accurately predicts the DNS velocity.
Note (type = degree)
Ph.D.
Note (type = bibliography)
Includes bibliographical references (p. 163-174).
Subject (ID = SUBJ1); (authority = RUETD)
Topic
Mechanical and Aerospace Engineering
Subject (ID = SUBJ2); (authority = ETD-LCSH)
Topic
Blood cells--Mathematical models
Subject (ID = SUBJ3); (authority = ETD-LCSH)
Topic
Blood flow
Subject (ID = SUBJ4); (authority = ETD-LCSH)
Topic
Fluid dynamics--Mathematical models
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Graduate School - New Brunswick Electronic Theses and Dissertations
Identifier (type = local)
rucore19991600001
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http://hdl.rutgers.edu/1782.2/rucore10001600001.ETD.17460
Identifier
ETD_1085
Location
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NjNbRU
Identifier (type = doi)
doi:10.7282/T39887B2
Genre (authority = ExL-Esploro)
ETD doctoral
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The author owns the copyright to this work.
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Copyright protected
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Open
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Name
Sai Doddi
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Copyright holder
Affiliation
Rutgers University. Graduate School - New Brunswick
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Non-exclusive ETD license
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Author Agreement License
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I hereby grant to the Rutgers University Libraries and to my school the non-exclusive right to archive, reproduce and distribute my thesis or dissertation, in whole or in part, and/or my abstract, in whole or in part, in and from an electronic format, subject to the release date subsequently stipulated in this submittal form and approved by my school. I represent and stipulate that the thesis or dissertation and its abstract are my original work, that they do not infringe or violate any rights of others, and that I make these grants as the sole owner of the rights to my thesis or dissertation and its abstract. I represent that I have obtained written permissions, when necessary, from the owner(s) of each third party copyrighted matter to be included in my thesis or dissertation and will supply copies of such upon request by my school. I acknowledge that RU ETD and my school will not distribute my thesis or dissertation or its abstract if, in their reasonable judgment, they believe all such rights have not been secured. I acknowledge that I retain ownership rights to the copyright of my work. I also retain the right to use all or part of this thesis or dissertation in future works, such as articles or books.
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