Flow through and over porous layers of variable thicknesses and variable permeability

dc.contributor.advisorHamdan, Mohammad
dc.contributor.advisorAlderson, Tim
dc.contributor.authorZaytoon, Mohammad Saleh Abu
dc.date.accessioned2023-03-01T16:36:48Z
dc.date.available2023-03-01T16:36:48Z
dc.date.issued2015
dc.date.updated2022-10-21T00:00:00Z
dc.description.abstractSingle-phase fluid flow through variable permeability porous layers is considered. The variable permeability layers are bounded by other porous layers of constant or variable permeability or bounded by free-space channels. This work is undertaken in order to shed further light on the characteristics of flow through layered porous media with variable permeability. To this end, Brinkman's equation and Darcy's law are cast in their more general forms that contain a variable permeability term. For the Brinkman equation, this translates into its reduction to a variable coefficient ordinary differential equation. The forms of the variable permeability function chosen result mainly in a reduction of Brinkman's equation to an Airy's inhomogeneous differential equation or a generalized Airy's inhomogeneous equation, which are analyzed and solved in this work. Other forms of variable permeability in Brinkman's equations have also been considered, together with various forms used in Darcy's law, and offer either an advantage in handling continuity at the interface between layers, or else they offer further insights in characteristics of the flow. When flow through a Darcy porous layer is considered, analysis shows that if the porous layer is infinite in depth, its permeability must essentially be constant.
dc.description.copyright© Mohammad Saleh Abu Zaytoon, 2016
dc.description.notePh.D. University of New Brunswick, Department of Mathematics and Statistics, 2016.
dc.formattext/xml
dc.format.extentxxvii, 288 pages
dc.format.mediumelectronic
dc.identifier.oclcOCLC# 1348397634
dc.identifier.otherThesis 9748
dc.identifier.urihttps://unbscholar.lib.unb.ca/handle/1882/14204
dc.language.isoen_CA
dc.publisherUniversity of New Brunswick
dc.rightshttp://purl.org/coar/access_right/c_abf2
dc.subject.disciplineMathematics and Statistics
dc.subject.lcshPorous materials -- Fluid dynamics -- Mathematical models.
dc.subject.lcshPermeability -- Mathematical models.
dc.titleFlow through and over porous layers of variable thicknesses and variable permeability
dc.typedoctoral thesis
thesis.degree.disciplineMathematics and Statistics
thesis.degree.fullnameDoctor of Philosophy
thesis.degree.grantorUniversity of New Brunswick
thesis.degree.leveldoctoral
thesis.degree.namePh.D.

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