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Dynamics and rheology of a dilute suspension of elastic capsules
Descriptive
TypeOfResource
Text
TitleInfo
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Title
Dynamics and rheology of a dilute suspension of elastic capsules
Identifier
ETD_2692
Identifier
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http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000056450
Language
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eng
Genre
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theses
Subject
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(authority = RUETD)
Topic
Mechanical and Aerospace Engineering
Subject
(ID = SBJ-2);
(authority = ETD-LCSH)
Topic
Rheology
Subject
(ID = SBJ-3);
(authority = ETD-LCSH)
Topic
Shear flow
Abstract
(type = abstract)
Three-dimensional numerical simulations using front-tracking method are considered to study the dynamics and rheology of a suspension of elastic capsules in linear shear flow over a broad range of viscosity contrast (ratio of internalto- external fluid viscosity), shear rate (or, capillary number), and aspect ratio. First, we focus on the coupling between the shape deformation and orientation dynamics of capsules, and show how this coupling influences the transition from the tank-treading to tumbling motion. At low capillary numbers, three distinct modes of motion are identified: a swinging or oscillatory (OS) mode at a low viscosity contrast in which the inclination angle θ(t) oscillates but always remains positive; a vacillating-breathing (VB) mode at a moderate viscosity contrast in which θ(t) periodically becomes positive and negative, but a full tumbling does not occur; and a pure tumbling mode (TU) at a higher viscosity contrast. At higher capillary numbers, three types of transient motions occur, in addition to the OS and TU modes, during which the capsule switches from one mode to the other as (i) VB to OS, (ii) TU to VB to OS, and (iii) TU to VB. It is shown that the coupling between the shape deformation and orientation is the strongest in the VB mode. The numerical results are compared with the theories of Keller and Skalak, and Skotheim and Secomb. Significant departures from the two theories are discussed and related to the strong coupling between the shape deformation, inclination, and transition dynamics. We then address the rheology of a dilute suspension of liquid-filled elastic capsules. We consider capsules of spherical resting shape for which only a steady tank-treading motion is observed. It is shown that the suspension exhibits a shear viscosity minimum at moderate values of the viscosity ratio, and high capillary numbers. The normal stress differences are shown to decrease with increasing capillary number at high viscosity ratios. Such non-trivial results can neither be predicted by the small-deformation theory, nor can be explained by the capsule geometry alone. Physical mechanisms underlying these novel results are studied by decomposing the particle stress tensor into a contribution due to the elastic stresses in the capsule membrane, and a contribution due to the viscosity differences between the internal and suspending fluids. It is shown that the elastic contribution is shear-thinning, but the viscous contribution is shear-thickening. The coupling between the capsule geometry, and the elastic and viscous contributions is analysed to explain the observed trends in the bulk rheology.
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electronic resource
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xxi, 97 p. : ill.
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application/pdf
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Note
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M.S.
Note
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Includes bibliographical references
Note
(type = statement of responsibility)
by Ram Chandra Murthy Kalluri
Name
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Kalluri
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Ram Chandra Murthy
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1984-
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author
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Ram Chandra Murthy Kalluri
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chair
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Advisory Committee
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Prosenjit Bagchi
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Shan
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Jerry
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internal member
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Advisory Committee
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Jerry Shan
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Shapley
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Nina
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outside member
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Advisory Committee
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Nina Shapley
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Rutgers University
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degree grantor
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Graduate School - New Brunswick
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school
OriginInfo
DateCreated
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2010
DateOther
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2010-10
Place
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xx
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Rutgers University Electronic Theses and Dissertations
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ETD
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Title
Graduate School - New Brunswick Electronic Theses and Dissertations
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rucore19991600001
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NjNbRU
Identifier
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doi:10.7282/T3HM5879
Genre
(authority = ExL-Esploro)
ETD graduate
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Rights
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The author owns the copyright to this work.
Copyright
Status
Copyright protected
Availability
Status
Open
Reason
Permission or license
RightsHolder
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Name
FamilyName
Kalluri
GivenName
Ram Chandra Murthy
Role
Copyright Holder
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Permission or license
DateTime
2010-05-03 20:30:17
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Ram Chandra Murthy Kalluri
Affiliation
Rutgers University. Graduate School - New Brunswick
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Author Agreement License
Detail
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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ETD
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application/x-tar
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7680000
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