Show simple item record

dc.rights.licenseUsers may download and share copies with attribution in accordance with a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License. No commercial use or derivatives are permitted without the explicit approval of the author.
dc.contributorKramer, Peter Roland, 1971-
dc.contributorUnderhill, Patrick T.
dc.contributorKovacic, Gregor
dc.contributorSchwendeman, Donald W.
dc.contributor.authorSikorski, Kajetan
dc.date.accessioned2021-11-03T08:07:12Z
dc.date.available2021-11-03T08:07:12Z
dc.date.created2014-04-14T11:19:18Z
dc.date.issued2013-12
dc.identifier.urihttps://hdl.handle.net/20.500.13015/1036
dc.descriptionDecember 2013
dc.descriptionSchool of Science
dc.description.abstractIn this work we will examine several systems of swimmers with an increasing level of realism and sophistication. In several cases exact analytical solutions are found for the probability densities of such systems. For other models we derive approximations based on the diffusion or hydrodynamic interaction strength being small. Finally a model for hydrodynamical interacting swimmers in two dimensions is derived from first principles. This is analyzed using some of the techniques from previous chapters. We also develop a simulation technique for this system similar to Ewald summation in electrodynamics.
dc.description.abstractSuspensions of hydrodynamically interacting micro-swimmers have been observed to exhibit many interesting collective effects. Some phenomena that have been observed in experiments and simulations include enhanced diffusion of tracer particles (sometimes as much as two orders of magnitude above what would be expected based on thermal effects) as well as fluid point velocity correlations on length scales much larger than the size of individual swimmers. It has been demonstrated that a key in understanding the above effect is the orientational correlations of the swimmers themselves. However, theoretical computations up to now have not been successful in deriving estimates for such two-body statistics.
dc.language.isoENG
dc.publisherRensselaer Polytechnic Institute, Troy, NY
dc.relation.ispartofRensselaer Theses and Dissertations Online Collection
dc.subjectMathematics
dc.titlePairwise approximations in micro-swimming
dc.typeElectronic thesis
dc.typeThesis
dc.digitool.pid170866
dc.digitool.pid170867
dc.digitool.pid170868
dc.rights.holderThis electronic version is a licensed copy owned by Rensselaer Polytechnic Institute, Troy, NY. Copyright of original work retained by author.
dc.description.degreePhD
dc.relation.departmentDept. of Mathematical Sciences


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record