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Asymptotic analysis of mass-dominated convection in a nanofluid

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dc.contributorBakker, Martin G.
dc.contributorHalpern, David
dc.contributorNastac, Laurentiu
dc.contributorTrent, Tavan T.
dc.contributorZhu, Wei
dc.contributor.advisorHadji, Layachi
dc.contributor.authorDar Assi, Mahmoud H.
dc.contributor.otherUniversity of Alabama Tuscaloosa
dc.date.accessioned2017-03-01T17:08:35Z
dc.date.available2017-03-01T17:08:35Z
dc.date.issued2014
dc.descriptionElectronic Thesis or Dissertationen_US
dc.description.abstractThe threshold conditions for the onset of convection in colloidal suspensions is investigated using the particulate medium formulation. We consider a dilute liquid suspension of solid spherical particles that is confined between two horizontal plates of infinite extent placed at the vertical coordinates Z=0 and at Z=H. The plates are assumed to be rigid, perfectly conducting and impermeable to mass flow. The suspension is heated from below. A quasi-Boussinesq approximation has been adopted i.e. the density will be assumed constant except in the gravity term where it depends on both temperature and concentration. But both the fluid viscosity and the coefficient of the particle diffusion are allowed to depend on the particle concentration through the Einstein formula for the dilute case and through the general empirical formula of suspension viscosity &mu;=&mu;<sub>0</sub>(1-C/C<sub>M</sub>)<super>-2</super>, where &mu;<sub>0</sub> is the dynamic viscosity of the base fluid and C<sub>M</sub> is the maximum packing volume fraction of hard-sphere particles suspension for the moderately concentrated case. An experimental parameter, &beta;, is introduced to depict the coupled effects of thermophoresis, sedimentation and particle diffusion. For a given experimental setup, &beta; is a function of the particle size. The graph of &beta; as function of the particle radius is an inverted parabola with two zero crossings. The first zero crossing occurs near zero particle radius. The second zero crossing occurs at larger size particle radius, although still in the nanosize range.en_US
dc.format.extent97 p.
dc.format.mediumelectronic
dc.format.mimetypeapplication/pdf
dc.identifier.otheru0015_0000001_0001560
dc.identifier.otherDarAssi_alatus_0004D_11930
dc.identifier.urihttps://ir.ua.edu/handle/123456789/2016
dc.languageEnglish
dc.language.isoen_US
dc.publisherUniversity of Alabama Libraries
dc.relation.hasversionborn digital
dc.relation.ispartofThe University of Alabama Electronic Theses and Dissertations
dc.relation.ispartofThe University of Alabama Libraries Digital Collections
dc.rightsAll rights reserved by the author unless otherwise indicated.en_US
dc.subjectApplied mathematics
dc.titleAsymptotic analysis of mass-dominated convection in a nanofluiden_US
dc.typethesis
dc.typetext
etdms.degree.departmentUniversity of Alabama. Department of Mathematics
etdms.degree.disciplineMathematics
etdms.degree.grantorThe University of Alabama
etdms.degree.leveldoctoral
etdms.degree.namePh.D.

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