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 |
|