Publicado 12 números por año
ISSN Imprimir: 1091-028X
ISSN En Línea: 1934-0508
Indexed in
Analytical Solutions and Estimates for Microlevel Flows
SINOPSIS
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.
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Youngs E.G., Kacimov A.R., Conduction through an assembly of spherical particles at low liquid contents, International Journal of Heat and Mass Transfer, 50, 1-2, 2007. Crossref
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Al-Maktoumi Ali, Kacimov Anvar, Al-Ismaily Said, Al-Busaidi Hamed, Al-Saqri Said, Infiltration into Two-Layered Soil: The Green–Ampt and Averyanov Models Revisited, Transport in Porous Media, 109, 1, 2015. Crossref
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Авхадиев Фарит Габидинович, Avkhadiev Farit Gabidinovich, Интегральные неравенства в областях гиперболического типа и их применения, Математический сборник, 206, 12, 2015. Crossref
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Kacimov A. R., Maklakov D. V., Kayumov I. R., Al-Futaisi A., Free Surface Flow in a Microfluidic Corner and in an Unconfined Aquifer with Accretion: The Signorini and Saint-Venant Analytical Techniques Revisited, Transport in Porous Media, 116, 1, 2017. Crossref
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Avkhadiev F G, Integral inequalities in domains of hyperbolic type and their applications, Sbornik: Mathematics, 206, 12, 2015. Crossref
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Kacimov A.R., Kayumov I.R., Al-Maktoumi A., Rainfall induced groundwater mound in wedge-shaped promontories: The Strack–Chernyshov model revisited, Advances in Water Resources, 97, 2016. Crossref
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Silin Dmitriy, Patzek Tad, Predicting Relative-Permeability Curves Directly From Rock Images, All Days, 2009. Crossref