Flow of viscous fluid between slowly rotating, eccentric cylinders

dc.contributor.author Beach, James
dc.contributor.department Mathematics
dc.date 2018-08-23T01:16:37.000
dc.date.accessioned 2020-06-30T07:24:41Z
dc.date.available 2020-06-30T07:24:41Z
dc.date.copyright Thu Jan 01 00:00:00 UTC 1948
dc.date.issued 1948
dc.description.abstract <p>The work of this thesis was undertaken to apply a method of analysis not previously applied to the problem of the slow flow of viscous fluid between two eccentric, rotating, infinitely long cylinders. This was accomplished under the assumption that both cylinders might be rotating and the entire general solution was retained. The stream function which was obtained has been expressed in terms of the original co-ordinates which had not been done previously;In chapter IV is obtained the torque and thrust on a cylinder. The difference between the torques on the cylinders was found to be proportional to the eccentricity, which result agrees with the result obtained by D. L. Holl. The limiting value of the torque as the cylinders became concentric was also obtained and is in agreement with results obtained by others;Special cases of the flow between eccentric cylinders, extending those discussed by Muller, are presented in section 9. These bring out more vividly the effect of changing eccentricity and the effect of changing the relative velocities of the two cylinders;The problems: in the theory of thin plates which corresponds to this hydrodynamic problem is discussed in section 10.</p>
dc.format.mimetype application/pdf
dc.identifier archive/lib.dr.iastate.edu/rtd/12906/
dc.identifier.articleid 13905
dc.identifier.contextkey 6866472
dc.identifier.doi https://doi.org/10.31274/rtd-180813-14170
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath rtd/12906
dc.identifier.uri https://dr.lib.iastate.edu/handle/20.500.12876/66326
dc.language.iso en
dc.source.bitstream archive/lib.dr.iastate.edu/rtd/12906/r_DP11968.pdf|||Fri Jan 14 19:33:12 UTC 2022
dc.subject.disciplines Mathematics
dc.subject.keywords Fluids
dc.subject.keywords Viscosity
dc.title Flow of viscous fluid between slowly rotating, eccentric cylinders
dc.type article
dc.type.genre dissertation
dspace.entity.type Publication
relation.isOrgUnitOfPublication 82295b2b-0f85-4929-9659-075c93e82c48
thesis.degree.level dissertation
thesis.degree.name Doctor of Philosophy
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