Rutgers University Electronic Theses and Dissertations
Identifier (type = RULIB)
ETD
Identifier
ETD_4189
PhysicalDescription
Form (authority = gmd)
electronic resource
InternetMediaType
application/pdf
InternetMediaType
text/xml
Extent
xxi, 138 p. : ill.
Note (type = degree)
Ph.D.
Note (type = bibliography)
Includes bibliographical references
Note (type = vita)
Includes vita
Note (type = statement of responsibility)
by Alireza Zarif Khalili Yazdani
Abstract (type = abstract)
Three-dimensional numerical simulations using immersed boundary/front-tracking
method are considered to study the dynamics and deformation of microscopic deformable cells with elastic and viscoelastic membranes suspended in linear shear flow. The objective in this thesis is to understand the complex fluid/structure interaction problem for membrane-bound soft matter in dilute suspensions. The numerical model includes all essential properties of the cell membrane, namely, the resistance against shear deformation, area dilatation, and bending, as well as the viscosity difference between the cell interior and suspending fluids. In addition, the Kelvin–Voigt viscoelastic model is incorporated to account for the effect of membrane viscosity. Our numerical technique is able to simulate complex dynamics of vesicles, capsules, and red blood cells in the tank-treading, breathing, trembling, and tumbling modes. A detailed comparison of the numerical results for vesicles is made with various theoretical models and experiments. It is found that the applicability of the theoretical models is limited to quasi-spherical vesicles. We show that near the transition between the tank-treading and tumbling dynamics, both the vacillating-breathing-like motion characterized by a smooth ellipsoidal shape, and the trembling-like motion characterized by a highly deformed shape are possible. We also present phase diagrams of the single red blood cell dynamics in linear shear flow. We find that the cell dynamics is often more complex than the well-known tank-treading, tumbling, and swinging motion and is characterized by an extreme variation of the cell shape. Identifying such complex shape dynamics termed here as breathing dynamics, is the focus of this study. Further, we find a very good agreement between our numerical and the theoretical and experimental results on the tank-treading frequency of red blood cells, which is often measured in experiments and used to extract the mechanical properties of the cell. A comprehensive analysis of the influence of the membrane viscosity on buckling, deformation and dynamics is given for initially spherical or oblate capsules. The major finding here is that the membrane viscosity leads to buckling in the range of shear rates in which no buckling is observed for capsules with purely elastic membrane.
Rutgers University. Graduate School - New Brunswick
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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.