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dc.contributor.author | Avkhadiev F. | |
dc.contributor.author | Kacimov A. | |
dc.date.accessioned | 2018-09-17T21:30:20Z | |
dc.date.available | 2018-09-17T21:30:20Z | |
dc.date.issued | 2005 | |
dc.identifier.issn | 1091-028X | |
dc.identifier.uri | https://dspace.kpfu.ru/xmlui/handle/net/135077 | |
dc.description.abstract | Steady, two-dimensional, viscous, fully developed, laminar flows are studied by the methods of isoperimetric estimations, complex analysis, and asymptotic approximations. The Carman-Kozeny averaging of velocity over the cross-sectional area of a tube is shown to become meaningless for some fractures deviating from "normal" convex shapes. Permeability of constituting tubes is estimated from above and below using a novel characteristic, the momentum of the flow domain about its boundary. Poiseuille-type flows in double-connected and misconnected domains are discussed. Longitudinal and transversal flows through a nonplanar zigzag fracture composed of annular segments are studied by an asymptotic solution of the Poisson equation and an exact solution of the Navier-Stokes equation, correspondingly. The lubrication theory approximation is compared with the case of a nonparabolic velocity profile within the fracture. The influence of tortuosity on permeability is established by calculation of the flux ratio through curved and planar fractures. For the Stokes approximation, a double-periodic combination of plane fractures and circular enlargements is studied using the Rayleigh solution and its generalization. A two-dimensional Darcian flow through a system with regular square occlusions is studied and kinematic channeling is quantified by the travel time along the fastest streamline. Copyright © 2005 Begell House, Inc. | |
dc.relation.ispartofseries | Journal of Porous Media | |
dc.title | Analytical solutions and estimates for microlevel flows | |
dc.type | Article | |
dc.relation.ispartofseries-issue | 2 | |
dc.relation.ispartofseries-volume | 8 | |
dc.collection | Публикации сотрудников КФУ | |
dc.relation.startpage | 125 | |
dc.source.id | SCOPUS1091028X-2005-8-2-SID19544385432 |