Details

Title

Laminar flow past the bottom with obstacles – a suspension approximation

Journal title

Bulletin of the Polish Academy of Sciences Technical Sciences

Yearbook

2015

Volume

63

Issue

No 3

Authors

Divisions of PAS

Nauki Techniczne

Coverage

685-695

Date

2015[2015.01.01 AD - 2015.12.31 AD]

Identifier

DOI: 10.1515/bpasts-2015-0080 ; ISSN 2300-1917

Source

Bulletin of the Polish Academy of Sciences: Technical Sciences; 2015; 63; No 3; 685-695

References

Sobieski (2011), Sensitivity aspects of Forchheimer s approximation Transport in Porous, Media, 89, 155. ; Bielski (2001), Nonstationary two - phase flow through porous medium Archive of, Mechanics, 53, 333. ; Telega (2002), Stochastic homogenization and macroscopic modelling of composites and flow through porous media Theoretical and, Applied Mechanics, 28, 337. ; Wojnar (1999), On nonlinear heat equations and diffusion in porous media Reports on, Mathematical Physics, 44, 291. ; Wojnar (2014), Flow of Stokesian fluid through a cellular medium and thermal effects, Bull Tech, 62, 1. ; Fine (1973), Compressibility of water as a function of temperature and pressure, Chemical Physics, 59, 5529. ; Trykozko (2008), Downscaling : a complement to homogenization Numerical Analysis and Modeling, Int, 5, 157. ; Einstein (1906), A new determination of molecular dimensions Annalen der in, Physik, 19, 289. ; Nikora (2001), Spatially averaged open - channel flow over rough bed, Hydraulic Engineering, 127, 123, doi.org/10.1061/(ASCE)0733-9429(2001)127:2(123) ; Ignaczak (1978), Tensorial equations of motion for a fluid saturated porous elastic solid, Bull Tech, 26, 8. ; Evangelos (2012), The impact of vegetation on the characteristics of the flow in an inclined open channel using the piv method Water Resources and Ocean, Science, 1, 1. ; Vasilev (2009), From the Hele - Shaw experiment to integrable systems : a historical overview, Compl Anal Oper Theory, 73, 551, doi.org/10.1007/s11785-008-0104-8 ; Peng (2009), Heat transfer characteristics of refrigerant - based nanofluid flow boiling inside a horizontal smooth tube, Int J Refrig, 65, 1259, doi.org/10.1016/j.ijrefrig.2009.01.025 ; Cieszko (1999), Derivation of matching conditions at the contact surface between fluid - saturated porous solid and bulk fluid Transport in Porous, Media, 34, 319. ; Chechkin (1999), The boundary - value problem in domains with very rapidly oscillating boundary Mathematical Analysis and, Applications, 231, 213. ; Koplik (1983), Viscosity renormalization in the Brinkman equation Physics of, Fluids, 67, 2864, doi.org/10.1063/1.864050 ; Kubik (2004), Modelling Coupled Phenomena in Saturated Porous Materials : Advanced Course AMAS Centre of Excellence for Advanced Materials and Structures Centre of Excellence for Porous Media, Nat. ; Telega (2007), Electrokinetics in random piezoelectric porous media, Bull Tech, 55, 125. ; Szefer (1998), Consolidation of a porous multilayered subsoil undergoing large deformation and, Theoretical Applied Mechanics, 36, 759. ; Kunert (2010), Random roughness hydrodynamic boundary conditions, Phys Rev Lett, 105, 16001, doi.org/10.1103/PhysRevLett.105.016001 ; Drelich (2014), Identification of drag parameters of flow in high permeability materials by U - tube method Transport in Porous, Media, 101, 69. ; Mikelic (2013), Effective slip law for general viscous flows over an oscillating surface Mathematical Methods in Applied, Sciences, 36, 2086. ; Rowiński (2002), A mixing - length model for predicting vertical velocity distribution in flows through emergent vegetation Hydrological des, Sciences Journal Sciences Hydrologiques, 76, 893, doi.org/10.1080/02626660209492998 ; Hele (1898), Flow of water, Nature, 71, 520, doi.org/10.1038/058520a0 ; Jeffery (1922), The motion of ellipsoidal particles immersed in a viscous fluid, Proc Royal SocietyA, 102, 161, doi.org/10.1098/rspa.1922.0078 ; Mishuris (2014), Hele Shaw flow with a small obstacle, Meccanica, 74. ; Brinkman (1949), A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles, Applied Scientific Research, 1, 27, doi.org/10.1007/BF02120313 ; Mahbubul (2013), Thermophysical properties and heat transfer performance of Al a nanorefrigerants and Mass, Int J Heat Transfer, 66, 134. ; Mityushev (2009), Conductivity of a two - dimensional composite containing elliptical inclusions, Proc, 465. ; Domenico (1965), Water from low permeability sediments and land subsidence Water Resources, Research, 1, 563. ; Kubrak (2012), Influence of a method of evaluation of the curvature of flexible vegetation elements on vertical distributions of flow velocities, Acta Geophysica, 60, 1098, doi.org/10.2478/s11600-011-0077-2 ; Abedian (2010), On the effective viscosity of suspensions, Int J Engineering Science, 68, 962, doi.org/10.1016/j.ijengsci.2010.08.012 ; Anderson (1996), Hydrodynamic effects of surface - layers on colloidal particles Chemical Engineering, Communications, 64, 148. ; Kennish (1992), Ecology of Estuaries : Anthropogenic Effects Series CRC Press Boca Raton, Marine Science. ; Nevad (1997), Homogenization of rough boundaries and interfaces SIAM, Appl Math, 57, 1660. ; Telega (2000), Flow of electrolyte through porous piezoelectric medium : macroscopic equations Comptes Rendus de l Académie des Sciences Series IIB, Mechanics, 328, 225. ; Sanchez (1985), Einstein - like approximation for homogenization with small concentration elliptic problems Nonlinear Analysis : Theory, Methods Applications, 9, 1243. ; Mityushev (2009), Transport properties of two - dimensional composite materials with circular inclusions, Proc, 455. ; Telega (2003), Flows in random porous media : effective models Computers and, Geotechnics, 30, 271, doi.org/10.1016/S0266-352X(03)00003-X ; Lévy (1983), Small concentration suspension of solid particles or viscous drops in a viscous fluid Paris II in, Acad Sci Sci Univers Sci Terre, 16, 297. ; Brinkman (1952), The viscosity of concentrated suspensions and solutions, Chemical Physics, 20, 571. ; Hashin (1963), A variational approach to the theory of the elastic behavior of multiphase materials, Mech Phys Solids, 70, 127, doi.org/10.1016/0022-5096(63)90060-7 ; Bielski (1999), Nonstationary flow of a viscous fluid through a porous elastic medium : asymptotic analysis and two - scale convergence, Mechanics Research Communications, 26, 619, doi.org/10.1016/S0093-6413(99)00070-1 ; Bielski (1999), Macroscopic equations for nonstationary flow of Stokesian fluid through porous elastic skeleton Archive of, Mechanics, 51, 243. ; Kubrak (2013), Application of one - dimensional model to calculate water velocity distributions over elastic elements simulating Canadian waterweed plants ( Elodea canadensis ), Acta Geophysica, 61, 194, doi.org/10.2478/s11600-012-0051-7
×