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Original Articles

The Potential of Meshless Methods to Address Physical and Mechanical Phenomena Involved during Drying at the Pore Level

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Pages 932-943 | Published online: 05 Aug 2010

REFERENCES

  • Sherwood , T.K. The drying of solids . Industrial and Engineering Chemistry 1929 , 21 , 12 – 16 .
  • Ceaglske , N.H. ; Hougen , O.A. Drying of granular solids . Industrial and Engineering Chemistry 1937 , 29 , 805 – 813 .
  • Krischer , O. ; Kröll , K. Die Wissenschaftlichen Grundlagen der Trocknungstechnik ; Springer Verlag , Berlin , Germany 1956 .
  • Philip , J.R. ; de Vries , D.A. Moisture movement in porous materials under temperature gradients . Transactions – American Geophysical Union 1957 , 38 , 222 – 232 .
  • Luikov , A.V. Heat and Mass Transfer in Capillary Porous Bodies ; Pergamon : Oxford , 1966 .
  • Whitaker , S. Simultaneous heat, mass, and momentum transfer in porous media: A theory of drying . Advances in Heat Transfer 1977 , 13 , 119 – 203 .
  • Slattery , J.C. Flow of viscoelastic fluids through porous media . AIChE Journal 1967 , 13 , 1066 – 1071 .
  • De Sousa , F.S. ; Mangiavacch , N. ; Nonato , L.G. ; Castelo , A. ; Tomé , M.F. ; Ferreira , V.G. ; Cuminato , J.A. ; McKee , S. A front-tracking/front-capturing method for the simulation of 3D multi-fluid flows with free surfaces . Journal of Computational Physics 2004 , 198 ( 2 ), 469 – 499 .
  • Štěpánek , F. ; Rajniak , P. Droplet morphologies on particles with macroscopic surface roughness . Langmuir 2006 , 22 , 917 – 923 .
  • Tanguy , S. ; Berlemont , A. Application of a level set method for simulation of droplet collisions. International Journal of Multiphase Flow 2005, 31, 1015–1035.
  • Hua , J. ; Stene , J.F. ; Lin , P. Numerical simulation of 3D bubbles rising in viscous liquids using a front tracking method . Journal of Computational Physics 2008 , 227 , 3358 – 3382 .
  • Belytschko , T. ; Krongauz , Y. ; Organ , D. ; Fleming , M. ; Krysl , P. Meshless methods: An overview and recent developments . Computer Methods in Applied Mechanics and Engineering 1996 , 139 , 3 – 48 .
  • Succi , S. The Lattice Boltzmann Equation for Fluid Dynamics and Beyond ; Clarendon Press : Oxford , 2001 .
  • Chen , H. ; Kandasamy , S. ; Orszag , S. ; Shock , R. ; Succi , S. ; Yakhot , V. Extended Boltzmann kinetic equation for turbulent flows . Science 2003 , 301 , 633 – 636 .
  • Thömmes , G. ; Seaïd , M. ; Banda , M.K. Lattice Boltzmann methods for shallow water flow applications . International Journal for Numerical Methods in Fluids 2007 , 55 , 673 – 692 .
  • Ispolatov , I. ; Grant , M. Lattice Boltzmann method for viscoelastic fluids . Physical Review E 2002 , 65 ( 5 ), 056704 .
  • Frank , X. ; Li , H.Z. Complex flow around a bubble rising in a non-Newtonian fluid . Physical Review E 2005 , 71 ( 3 ), 036309 .
  • Succi , S. Lattice Boltzmann equation for relativistic quantum mechanics . Philosophical Transactions of the Royal Society A 2002 , 360 , 429 – 436 .
  • Gunstensen , A.K. ; Rothman , D.H. ; Zaleski , S. ; Zanetti , G. Lattice Boltzmann model of immiscible fluids . Physical Review A 1991 , 43 ( 8 ), 4320 – 4327 .
  • Swift , M.R. ; Osborn , W.R. ; Yeomans , J.M. Lattice Boltzmann simulation of nonideal fluid . Physical Review Letters 1995 , 75 ( 5 ), 830 – 833 .
  • Swift , M.R. ; Orlandini , E. ; Osborn , W.R. ; Yeomans , J.M. Lattice Boltzmann simulations of liquid-gas and binary fluid systems . Physical Review E 1996 , 54 ( 5 ), 5041 – 5052 .
  • He , X. ; Chen , S. ; Zhang , R. A lattice Boltzmann scheme for incompressible multiphase flow and its application in simulation of Rayleigh–Taylor instability . Journal of Computational Physics 1999 , 152 ( 2 ), 642 – 663 .
  • Inamuro , T. ; Ogata , T. ; Tajima , S. ; Konishi , N. A lattice Boltzmann method for incompressible two-phase flows with large density differences . Journal of Computational Physics 2004 , 198 ( 2 ), 628 – 644 .
  • Lee , T. ; Lin , C.L. A stable discretization of the lattice Boltzmann equation for simulation of incompressible two-phase flows at high density ratio . Journal of Computational Physics 2005 , 206 ( 1 ), 16 – 47 .
  • Shan , X. ; Chen , H. Lattice Boltzmann model for simulating flows with multiple phases and components . Physical Review E 1993 , 47 ( 3 ), 1815 – 1820 .
  • Martys , N.S. ; Chen , H. Simulation of multicomponent fluids in complex three-dimensional geometries by the lattice Boltzmann method . Physical Review E 1996 , 53 ( 1 ), 743 – 750 .
  • Raiskinmäki , P. ; Shakib-Manesh , A. ; Jäsberg , A. ; Koponen , A. ; Merikoski , J. ; Timonen , J. Lattice-Boltzmann simulation of capillary rise dynamics . Journal of Statistical Physics 2002 , 107 ( 1 ), 143 – 158 .
  • Yang , Z.L. ; Palm , B. ; Sehgal , B.R. Numerical simulation of bubbly two-phase flow in a narrow channel . International Journal of Heat and Mass Transfer 2002 , 45 ( 3 ), 631 – 639 .
  • Latt , J. ; Courbebaisse , G. ; Chopard , B. ; Falcone , J.L. Lattice Boltzmann modeling of injection moulding process . Lecture Notes in Computer Science 2004 , 3305 , 345 – 354 .
  • Kang , Q. ; Zhang , D. ; Chen , S. Displacement of a three-dimensional immiscible droplet in a duct . Journal of Fluid Mechanics 2005 , 545 , 41 – 66 .
  • Vogel , H.J. ; Tölke , J. ; Schulz , V.P. ; Krafczyk , M. ; Roth , K. Comparison of a lattice-Boltzmann model, a full-morphology model, and a pore network model for determining capillary pressure-saturation relationships . Vadose Zone Journal 2005 , 4 , 380 – 388 .
  • Sukop , M.C. ; Or , D. Lattice Boltzmann method for modeling liquid-vapor interface configurations in porous media . Water Resources Research 2004 , 40 ( 1 ), W01509 .
  • Yu , Z. ; Hemminger , O. ; Fan , L.S. Experiment and lattice Boltzmann simulation of two-phase gas–liquid flows in microchannels . Chemical Engineering Science 2007 , 62 ( 24 ), 7172 – 7183 .
  • Sbragaglia , M. ; Benzi , R. ; Biferale , L. ; Succi , S. ; Toschi , F. Surface roughness-hydrophobicity coupling in microchannel and nanochannel flows . Physical Review Letters 2006 , 97 ( 20 ), 204503 .
  • Pan , C. ; Prins , J.F. ; Miller , C.T. A high-performance lattice Boltzmann implementation to model flow in porous media . Computer Physics Communications 2004 , 158 ( 2 ), 89 – 105 .
  • Sukop , M.C. ; Huang , H. ; Lin , C.L. ; Deo , M.D. ; Oh , K. ; Miller , J.D. Distribution of multiphase fluids in porous media: Comparison between lattice Boltzmann modeling and micro-x-ray tomography . Physical Review E 2008 , 77 ( 2 ), 026710 .
  • Hatiboglu , C.U. ; Babadagli , T. Pore-scale studies of spontaneous imbibition into oil-saturated porous media . Physical Review E 2008 , 77 ( 6 ), 066311 .
  • Yuan , P. ; Schaefer , L. Equations of state in a lattice Boltzmann model . Physics of Fluids 2006 , 18 ( 4 ), 042101 .
  • Zhang , J. ; Tian , F. A bottom-up approach to non-ideal fluids in the lattice Boltzmann method . Europhysics Letters 2008 , 81 , 66005 .
  • Sbragaglia , M. ; Benzi , R. ; Biferale , L. ; Succi , S. ; Sugiyama , K. ; Toschi , F. Generalized lattice Boltzmann method with multirange pseudopotential . Physical Review E 2007 , 75 ( 2 ), 026702 .
  • Huang , H. ; Thorne , D.T. , Jr. ; Schaap , M.G. ; Sukop , M.C. Proposed approximation for contact angles in Shan-and-Chen-type multicomponent multiphase lattice Boltzmann models . Physical Review E 2007 , 76 ( 6 ), 066701 .
  • Perré , P. MeshPore: A software able to apply image-based meshing techniques to anisotropic and heterogeneous porous media . Drying Technology 2005 , 23 ( 9 ), 1993 – 2006 .
  • Hoogerbrugge , P.J. ; Koelman , J.M.V.A. Simulating microscopic hydrodynamic phenomena with dissipative particle dynamics . Europhysics Letters 1992 , 19 ( 3 ), 155 – 160 .
  • Warren , P.B. Vapor-liquid coexistence in many-body dissipative particle dynamics . Physical Review E 2003 , 68 ( 6 ), 066702 .
  • Kong , B. ; Yang , X. Dissipative particle dynamics simulation of contact angle hysteresis on a patterned solid/air composite surface . Langmuir 2006 , 22 ( 5 ), 2065 – 2073 .
  • Henrich , B. ; Cupelli , C. ; Moseler , M. ; Santer , M. An adhesive DPD wall model for dynamic wetting . Europhysics Letters 2007 , 80 ( 6 ), 60004 .
  • Lucy , L.B. A numerical approach to the testing of the fission hypothesis (close binary star formation) . Astronomical Journal 1977 , 82 ( 12 ), 1013 – 1024 .
  • Gingold , R.A. ; Monaghan , J.J. Smoothed particle hydrodynamics: Theory and application to non-spherical stars . Monthly Notes of the Royal Astronomical Society 1977 , 181 , 375 – 389 .
  • Monaghan , J.J. Simulating free surface flows with SPH . Journal of Computational Physics 1994 , 110 ( 2 ), 399 – 406 .
  • Violeau , D. ; Issa , R. Numerical modelling of complex turbulent free-surface flows with the SPH method: An overview . International Journal of Numerical Methods in Fluids 2007 , 53 ( 2 ), 277 – 304 .
  • Benz , W. ; Asphaug , E. Simulations of brittle solids using smooth particle hydrodynamics . Computer Physics Comunications 1995 , 87 ( 1 ), 253 – 265 .
  • Vakilha , M. ; Manzari , M.T. Modelling of power-law fluid flow through porous media using smoothed particle hydrodynamics . Transport in Porous Media 2008 , 74 ( 3 ), 331 – 346 .
  • Lachamp , P. ; Faug , T. ; Naaim , M. ; Laigle , D. Simulation of the effect of defence structures on granular flows using SPH. Natural Hazards and Earth System Sciences 2002, 2, 203–209.
  • Laigle , D. ; Lachamp , P. ; Naaim , M. SPH-based numerical investigation of mudflow and other complex fluid flow interactions with structures . Computational Geosciences 2007 , 11 ( 4 ), 297 – 306 .
  • Nugent , S. ; Posch , H.A. Liquid drops and surface tension with smoothed particle applied mechanics . Physical Review E 2000 , 62 ( 4 ), 4968 – 4975 .
  • Tartakovsky , A.M. ; Meakin , P. Simulation of unsaturated flow in complex fractures using smoothed particle hydrodynamics . Vadose Zone Journal 2005 , 4 , 848 – 855 .
  • Tartakovsky , A. ; Meakin , P. Modeling of surface tension and contact angles with smoothed particle hydrodynamics . Physical Review E 2005 , 72 ( 2 ), 026301 .
  • Tartakovsky , A.M. ; Ward , A.L. ; Meakin , P. Pore-scale simulations of drainage of heterogeneous and anisotropic porous media . Physics of Fluids 2007 , 19 ( 10 ), 103301 .
  • Tartakovsky , A.M. ; Meakin , P. ; Ward , A.L. Smoothed particle hydrodynamics model of non-aqueous phase liquid flow and dissolution . Transport in Porous Media 2009 , 76 ( 1 ), 11 – 34 .
  • Harlow , F.H. ; Welch , J.E. Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface . The physics of fluids 1965 , 8 ( 12 ), 2182 – 2189 .
  • Sulsky , D. ; Chen , Z. ; Schreyer , H.L. A particle method for history-dependent materials . Computer Methods in Applied Mechanics and Engineering 1994 , 118 ( 1 ), 179 – 196 .
  • Sulsky , D. ; Zhou , S.J. ; Schreyer , H.L. Application of a particle-in-cell method to solid mechanics . Computer Physics Communications 1995 , 87 ( 1 ), 236 – 252 .
  • Bardenhagen , S.G. ; Brydon , A.D. ; Guilkey , J.E. Insight into the physics of foam densification via numerical simulation . Journal of the Mechanics and Physics of Solids 2005 , 53 ( 3 ), 597 – 617 .
  • Bardenhagen , S.G. ; Kober , E.M. The generalized interpolation material point method . Computer Modeling in Engineering and Sciences 2004 , 5 ( 6 ), 477 – 495 .
  • York , A.R. ; Sulsky , D. ; Schreyer , H.L. Fluid-membrane interaction based on the material-point method . International Journal for Numerical Methods in Engineering 2000 , 48 , 901 – 924 .
  • Schreyer , H.L. ; Sulsky , D.L. ; Zhou , S.J. Modeling delamination as a strong discontinuity with the material point method . Computer Methods in Applied Mechanics and Engineering 2002 , 191 ( 23–24 ), 2483 – 2507 .
  • Daphalapurkar , N.P. ; Lu , H. ; Coker , D. ; Komanduri , R. Simulation of dynamic crack growth using the generalized interpolation material point (GIMP) method . International Journal of Fracture 2007 , 143 ( 1 ), 79 – 102 .
  • Guilkey , J.E. ; Hoying , J.B. ; Weiss , J.A. Computational modeling of multicellular constructs with the material point method . Journal of Biomechanics 2006 , 39 ( 11 ), 2074 – 2086 .
  • Zhang , D.Z. ; Zou , Q. ; VanderHeyden , W.B. ; Ma , X. Material point method applied to multiphase flows . Journal of Computational Physics 2008 , 227 ( 6 ), 3159 – 3173 .
  • Adler , P.M. Porous Media: Geometry and Transports ; Butterworth-Heinemann Series in Chemical Engineering , Boston , USA 1992 .
  • Dullien , F.A.L. Porous Media—Fluid Transport and Pore Structure, , 2nd Ed. ; Academic Press : London , 1992 .
  • Perré , P. ; Karimi , A. Fluid migration in two species of beech (Fagus silvatica and Fagus orientalis): A percolation model able to account for macroscopic measurements and anatomical observations . Maderas: Cienca y Tecnologia 2002 , 4 ( 1 ), 50 – 68 .
  • Prat , M. Percolation model of drying under isothermal conditions in porous media . International Journal of Multiphase Flow 1993 , 19 ( 4 ), 691 – 704 .
  • Salin , J.G. Drying of sapwood analyzed as an invasion percolation process . Maderas: Cienca y Tecnologia 2006 , 8 ( 3 ), 149 – 158 .
  • Metzger , T. ; Tsotsas , E. ; Part , M. Pore-network models: A powerful tool to study drying at the pore level and understanding the influence of structure on drying kinetics . In Modern Drying Technology: Vol. 1. Computational Tools at Different Scales ; Wiley-VCH Verlag GmbH & Co. : Weinheim , Germany , 2007 ; 57 – 102 .
  • Vorhauer , N. ; Metzger , T. ; Tsotsas , E. Empirical macroscopic model for drying of porous media based on pore networks and scaling theory . Drying Technology 2010 , 28 ( 8 ).
  • Yiotis , A.G. ; Tsimpanogiannis , I.N. ; Stubos , A.K. Fractal characteristics and scaling of the drying front in porous media: A pore-network study . Drying Technology 2010 , 28 ( 8 ).
  • Liu , M. ; Meakin , P. ; Huang , H. Dissipative particle dynamics of multiphase fluid flow in microchannels and microchannel networks . Physics of Fluids 2007 , 19 ( 3 ), 033302 .
  • Wróblewski , P. ; Boryczko , K. ; Kopeć , M. Modeling incompressible fluids by means of the SPH method: Surface tension and viscosity . Lecture Notes in Computer Science 2008 , 5101 , 600 – 609 .

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