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Volumn 9, Issue 6, 2010, Pages 1063-1075

Porous-layer model for laminar liquid flow in rough microchannels

Author keywords

Microchannel; Porous interface; Reduced order model; Rough surface

Indexed keywords

CONFIDENCE INTERVAL; EXPERIMENTAL DATA; FLUID LAYER; GEOMETRICAL CHARACTERISTICS; LAYER MODEL; LIQUID FLOW; NUMERICAL SIMULATION; ONE-DIMENSIONAL MODEL; POROUS INTERFACE; POROUS LAYERS; REDUCED DESCRIPTION; REDUCED ORDER MODELS; ROUGH CHANNELS; ROUGH SURFACES; SPATIAL AVERAGING; STOKES FLOWS; STRESS MODELS; THREE DIMENSIONAL EFFECT; THREE-DIMENSIONAL SOLUTIONS;

EID: 78649735781     PISSN: 16134982     EISSN: 16134990     Source Type: Journal    
DOI: 10.1007/s10404-010-0625-0     Document Type: Article
Times cited : (7)

References (61)
  • 3
    • 0037054358 scopus 로고    scopus 로고
    • Average momentum equation for the interdendritic flow in a solidifying columnar mushy zone
    • 1087.76577
    • P Bousquet-Melou B Goyeau M Quintard F Fichot D Gobin 2002 Average momentum equation for the interdendritic flow in a solidifying columnar mushy zone Int J Heat Fluid Flow 45 3651 3665 1087.76577
    • (2002) Int J Heat Fluid Flow , vol.45 , pp. 3651-3665
    • Bousquet-Melou, P.1    Goyeau, B.2    Quintard, M.3    Fichot, F.4    Gobin, D.5
  • 5
    • 34548424139 scopus 로고    scopus 로고
    • Order parameter modeling of fluid dynamics in narrow confinements subjected to hydrophobic interactions
    • Chakraborty S (2007) Order parameter modeling of fluid dynamics in narrow confinements subjected to hydrophobic interactions. Phys Rev Lett 99:094, 504
    • (2007) Phys Rev Lett , vol.99 , Issue.94 , pp. 504
    • Chakraborty, S.1
  • 6
    • 36649005794 scopus 로고    scopus 로고
    • A generalized model for probing frictional characteristics of pressure-driven liquid microflows
    • DOI 10.1063/1.2817580
    • S Chakraborty T Das S Chattoraj 2007 A generalized model for probing frictional characteristics of pressure-driven liquid microflows J Appl Phys 102 10 104907 10.1063/1.2817580 (Pubitemid 350198139)
    • (2007) Journal of Applied Physics , vol.102 , Issue.10 , pp. 104907
    • Chakraborty, S.1    Das, T.2    Chattoraj, S.3
  • 7
    • 67650627051 scopus 로고    scopus 로고
    • Jump conditions and surface-excess quantities at a fluid/porous interface: A multi-scale approach
    • 10.1007/s11242-008-9302-0 2520231
    • M Chandesris D Jamet 2009 Jump conditions and surface-excess quantities at a fluid/porous interface: A multi-scale approach Transp Porous Med 78 419 438 10.1007/s11242-008-9302-0 2520231
    • (2009) Transp Porous Med , vol.78 , pp. 419-438
    • Chandesris, M.1    Jamet, D.2
  • 8
    • 0000301867 scopus 로고
    • Turbulent flow in pipes, with particular reference to the transition region between the smooth and rough pipe laws
    • FC Colebrook 1939 Turbulent flow in pipes, with particular reference to the transition region between the smooth and rough pipe laws J Inst Civ Eng London 11 133 156
    • (1939) J Inst Civ Eng London , vol.11 , pp. 133-156
    • Colebrook, F.C.1
  • 9
    • 36549023141 scopus 로고    scopus 로고
    • Three-dimensional roughness effect on microchannel heat transfer and pressure drop
    • DOI 10.1016/j.ijheatmasstransfer.2007.06.021, PII S0017931007004140
    • G Croce P D'Agaro C Nonino 2007 Three-dimensional roughness effect on microchannel heat transfer and pressure drop J Heat Mass Trans 50 25-26 5249 5259 1140.80321 10.1016/j.ijheatmasstransfer.2007.06.021 (Pubitemid 350180856)
    • (2007) International Journal of Heat and Mass Transfer , vol.50 , Issue.25-26 , pp. 5249-5259
    • Croce, G.1    D'agaro, P.2    Nonino, C.3
  • 10
    • 10044247105 scopus 로고    scopus 로고
    • Viscous flow in a channel partially filled with a porous medium and with wall suction
    • DOI 10.1016/j.ces.2004.08.010, PII S0009250904006049
    • C Deng DM Martinez 2005 Viscous flow in a channel partially filled with a porous medium and with wall suction Chem Eng Science 60 2 329 336 10.1016/j.ces.2004.08.010 (Pubitemid 39606076)
    • (2005) Chemical Engineering Science , vol.60 , Issue.2 , pp. 329-336
    • Deng, C.1    Martinez, D.M.2
  • 11
    • 67349178095 scopus 로고    scopus 로고
    • Pressure-driven diffusive gas flows in micro-channels: From the Knudsen to the continuum regimes
    • 10.1007/s10404-008-0344-y
    • N Dongari A Sharma F Durst 2009 Pressure-driven diffusive gas flows in micro-channels: from the Knudsen to the continuum regimes Microfluid Nanofluid 6 5 679 692 10.1007/s10404-008-0344-y
    • (2009) Microfluid Nanofluid , vol.6 , Issue.5 , pp. 679-692
    • Dongari, N.1    Sharma, A.2    Durst, F.3
  • 12
    • 0028118049 scopus 로고
    • Analytical quantification of coefficients in the Ergun equation for fluid friction in a packed bed
    • 10.1007/BF00617551
    • JP Du Plessis 1994 Analytical quantification of coefficients in the Ergun equation for fluid friction in a packed bed Transp Porous Med 16 189 207 10.1007/BF00617551
    • (1994) Transp Porous Med , vol.16 , pp. 189-207
    • Du Plessis, J.P.1
  • 13
    • 41749121697 scopus 로고    scopus 로고
    • Pore-scale derivation of the Ergun equation to enhance its adaptability and generalization
    • 10.1016/j.ces.2008.02.017
    • JP Du Plessis S Woudberg 2008 Pore-scale derivation of the Ergun equation to enhance its adaptability and generalization Chem Eng Science 63 2576 2586 10.1016/j.ces.2008.02.017
    • (2008) Chem Eng Science , vol.63 , pp. 2576-2586
    • Du Plessis, J.P.1    Woudberg, S.2
  • 14
    • 37549068968 scopus 로고    scopus 로고
    • An experimental study and modelling of roughness effects on laminar flow in microchannels
    • 1159.76301 10.1017/S0022112007009111
    • G Gamrat M Favre-Marinet S Le Person R Bavière F Ayela 2008 An experimental study and modelling of roughness effects on laminar flow in microchannels J Fluid Mech 594 399 423 1159.76301 10.1017/S0022112007009111
    • (2008) J Fluid Mech , vol.594 , pp. 399-423
    • Gamrat, G.1    Favre-Marinet, M.2    Le Person, S.3    Bavière, R.4    Ayela, F.5
  • 16
    • 84886764942 scopus 로고
    • On the periodic fundamental solutions of the stokes equations and their application to viscous flow past a cubic array of spheres
    • 0086.19901 10.1017/S0022112059000222 102285
    • H Hasimoto 1959 On the periodic fundamental solutions of the stokes equations and their application to viscous flow past a cubic array of spheres J Fluid Mech 5 317 328 0086.19901 10.1017/S0022112059000222 102285
    • (1959) J Fluid Mech , vol.5 , pp. 317-328
    • Hasimoto, H.1
  • 17
    • 53949106945 scopus 로고    scopus 로고
    • A new approach to understanding and modelling the influence of wall roughness on friction factors for pipe and channel flows
    • 1151.76520
    • H Herwig D Gloss T Wenterodt 2008 A new approach to understanding and modelling the influence of wall roughness on friction factors for pipe and channel flows J Fluid Mech 613 1 35 53 1151.76520
    • (2008) J Fluid Mech , vol.613 , Issue.1 , pp. 35-53
    • Herwig, H.1    Gloss, D.2    Wenterodt, T.3
  • 19
    • 0021938510 scopus 로고
    • SPATIAL AVERAGING THEOREM REVISITED.
    • DOI 10.1016/0009-2509(85)80078-6
    • FA Howes S Whitaker 1985 The spatial averaging theorem revisited Chemical Engineering Science 40 8 1387 1392 10.1016/0009-2509(85)80078-6 (Pubitemid 15580966)
    • (1985) Chemical Engineering Science , vol.40 , Issue.8 , pp. 1387-1392
    • Howes Frederick, A.1    Whitaker Stephen2
  • 20
    • 67650587821 scopus 로고    scopus 로고
    • On the equivalence of the discontinuous one- and two-domain approaches for the modeling of transport phenomena at a fluid/porous interface
    • 10.1007/s11242-008-9314-9 2520231
    • D Jamet M Chandesris B Goyeau 2009 On the equivalence of the discontinuous one- and two-domain approaches for the modeling of transport phenomena at a fluid/porous interface Transp Porous Med 78 403 418 10.1007/s11242-008-9314-9 2520231
    • (2009) Transp Porous Med , vol.78 , pp. 403-418
    • Jamet, D.1    Chandesris, M.2    Goyeau, B.3
  • 21
    • 27744504544 scopus 로고    scopus 로고
    • Characterization of surface roughness effects on pressure drop in single-phase flow in minichannels
    • 10.1063/1.1896985
    • SG Kandlikar D Schmitt AL Carrano JB Taylor 2005 Characterization of surface roughness effects on pressure drop in single-phase flow in minichannels Phys Fluids 17 10 100606 10.1063/1.1896985
    • (2005) Phys Fluids , vol.17 , Issue.10 , pp. 100606
    • Kandlikar, S.G.1    Schmitt, D.2    Carrano, A.L.3    Taylor, J.B.4
  • 24
    • 27744557150 scopus 로고    scopus 로고
    • Stokes flow in curved channels
    • DOI 10.1016/j.cam.2005.03.042, PII S0377042705001512
    • S Khuri 2006 Stokes flow in curved channels J Computational Appl Math 187 2 171 191 1080.76022 10.1016/j.cam.2005.03.042 2185667 (Pubitemid 41586511)
    • (2006) Journal of Computational and Applied Mathematics , vol.187 , Issue.2 , pp. 171-191
    • Khuri, S.A.1
  • 25
    • 0345689621 scopus 로고    scopus 로고
    • Optimization of pin-fin heat sinks using anisotropic local thermal nonequilibrium porous model in a jet impinging channel
    • 10.1080/716100528
    • SY Kim AV Kuznetsov 2003 Optimization of pin-fin heat sinks using anisotropic local thermal nonequilibrium porous model in a jet impinging channel Num Heat Transfer A 44 8 771 787 10.1080/716100528
    • (2003) Num Heat Transfer A , vol.44 , Issue.8 , pp. 771-787
    • Kim, S.Y.1    Kuznetsov, A.V.2
  • 26
    • 4544276373 scopus 로고    scopus 로고
    • Computational analysis of wall roughness effects for liquid flow in micro-conduits
    • 10.1115/1.1637633
    • C Kleinstreuer J Koo 2004 Computational analysis of wall roughness effects for liquid flow in micro-conduits J Fluids Eng 126 1 1 9 10.1115/1.1637633
    • (2004) J Fluids Eng , vol.126 , Issue.1 , pp. 1-9
    • Kleinstreuer, C.1    Koo, J.2
  • 27
    • 0141830183 scopus 로고    scopus 로고
    • Liquid flow in microchannels: Experimental observations and computational analyses of microfluidics effects
    • 10.1088/0960-1317/13/5/307
    • J Koo C Kleinstreuer 2003 Liquid flow in microchannels: experimental observations and computational analyses of microfluidics effects J Micromech Microeng 13 5 568 579 10.1088/0960-1317/13/5/307
    • (2003) J Micromech Microeng , vol.13 , Issue.5 , pp. 568-579
    • Koo, J.1    Kleinstreuer, C.2
  • 28
    • 53349129252 scopus 로고    scopus 로고
    • Analytical investigation of the fluid flow in the interface region between a porous medium and a clear fluid in channels partially filled with a porous medium
    • 0881.76093 10.1007/BF02282922
    • AV Kuznetsov 1996 Analytical investigation of the fluid flow in the interface region between a porous medium and a clear fluid in channels partially filled with a porous medium Appl Scientific Research 56 53 67 0881.76093 10.1007/BF02282922
    • (1996) Appl Scientific Research , vol.56 , pp. 53-67
    • Kuznetsov, A.V.1
  • 29
    • 0031148376 scopus 로고    scopus 로고
    • Influence of the stress jump condition at the porous-medium/clear-fluid interface on a flow at a porous wall
    • DOI 10.1016/S0735-1933(97)00025-0, PII S0735193397000250
    • AV Kuznetsov 1997 Influence of the stress jump boundary condition at the porous-medium/clear-fluid interface on a flow at a porous wall Int Comm Heat Mass Transfer 24 401 410 10.1016/S0735-1933(97)00025-0 (Pubitemid 27291989)
    • (1997) International Communications in Heat and Mass Transfer , vol.24 , Issue.3 , pp. 401-410
    • Kuznetsov, A.V.1
  • 30
    • 0032228659 scopus 로고    scopus 로고
    • Analytical study of fluid flow and heat transfer during forced convection in a composite channel partly filled with a Brinkman-Forchheimer porous medium
    • 0937.76084 10.1023/A:1009998703180
    • AV Kuznetsov 1998 Analytical study of fluid flow and heat transfer during forced convection in a composite channel partly filled with a Brinkman-Forchheimer porous medium Flow, Turbul Comb 60 173 192 0937.76084 10.1023/A:1009998703180
    • (1998) Flow, Turbul Comb , vol.60 , pp. 173-192
    • Kuznetsov, A.V.1
  • 31
    • 0002358472 scopus 로고    scopus 로고
    • Analytical studies of forced convection in partly porous configurations
    • Vafai K (ed) Macel Dekker, New York
    • Kuznetsov AV (2000) Analytical studies of forced convection in partly porous configurations. In: Vafai K (ed) Handbook of porous media. Macel Dekker, New York, pp 269-312
    • (2000) Handbook of Porous Media , pp. 269-312
    • Kuznetsov, A.V.1
  • 32
    • 0035530969 scopus 로고    scopus 로고
    • Influence of thermal dispersion on forced convection in a composite parallel-plate channel
    • 1172.76371 10.1007/PL00001536
    • AV Kuznetsov 2001 Influence of thermal dispersion on forced convection in a composite parallel-plate channel J Appl Math Phys (ZAMP) 52 135 150 1172.76371 10.1007/PL00001536
    • (2001) J Appl Math Phys (ZAMP) , vol.52 , pp. 135-150
    • Kuznetsov, A.V.1
  • 33
    • 0008328359 scopus 로고    scopus 로고
    • Flow characteristics of water in microtubes
    • 10.1016/S0142-727X(98)10043-7
    • GM Mala D Li 1999 Flow characteristics of water in microtubes Int J Heat Fluid Flow 20 2 142 148 10.1016/S0142-727X(98)10043-7
    • (1999) Int J Heat Fluid Flow , vol.20 , Issue.2 , pp. 142-148
    • Mala, G.M.1    Li, D.2
  • 34
    • 85146230273 scopus 로고
    • Friction factors for pipe flow
    • LF Moody 1944 Friction factors for pipe flow ASME Trans 66 671 683
    • (1944) ASME Trans , vol.66 , pp. 671-683
    • Moody, L.F.1
  • 36
    • 66849141206 scopus 로고    scopus 로고
    • The effective slip length and vortex formation in laminar flow over a rough surface
    • Niavarani A, Priezjev NV (2009) The effective slip length and vortex formation in laminar flow over a rough surface. Phys Fluids 21:052,105
    • (2009) Phys Fluids , vol.21 , Issue.52 , pp. 105
    • Niavarani, A.1    Priezjev, N.V.2
  • 38
    • 67650644615 scopus 로고    scopus 로고
    • The effect of a transition layer between a fluid and a porous medium: Shear flow in a channel
    • 10.1007/s11242-009-9342-0
    • DA Nield AV Kuznetsov 2009 The effect of a transition layer between a fluid and a porous medium: shear flow in a channel Transp Porous Med 78 477 487 10.1007/s11242-009-9342-0
    • (2009) Transp Porous Med , vol.78 , pp. 477-487
    • Nield, D.A.1    Kuznetsov, A.V.2
  • 40
    • 0029360858 scopus 로고
    • Momentum transfer at the boundary between a porous medium and a homogeneous fluid - I Theoretical development
    • 0923.76320 10.1016/0017-9310(94)00346-W
    • JA Ochoa-Tapia S Whitaker 1995 Momentum transfer at the boundary between a porous medium and a homogeneous fluid - I Theoretical development Int J Heat Mass Transfer 38 2635 2646 0923.76320 10.1016/0017-9310(94)00346-W
    • (1995) Int J Heat Mass Transfer , vol.38 , pp. 2635-2646
    • Ochoa-Tapia, J.A.1    Whitaker, S.2
  • 41
    • 0037337360 scopus 로고    scopus 로고
    • A fundamental solution method for viscous flow problems with obstacles in a periodic array
    • DOI 10.1016/S0377-0427(02)00720-3, PII S0377042702007203
    • H Ogata K Amano M Sugihara D Okano 2003 A fundamental solution method for viscous flow problems with obstacles in a periodic array J Comput Appl Math 152 1-2 411 425 1064.76085 10.1016/S0377-0427(02)00720-3 1991306 (Pubitemid 36290384)
    • (2003) Journal of Computational and Applied Mathematics , vol.152 , Issue.1-2 , pp. 411-425
    • Ogata, H.1    Amano, K.2    Sugihara, M.3    Okano, D.4
  • 43
    • 0030153046 scopus 로고    scopus 로고
    • Effective boundary conditions for stokes flow over a rough surface
    • 0877.76017 10.1017/S0022112096000511
    • K Sarkar A Prosperetti 1996 Effective boundary conditions for stokes flow over a rough surface J Fluid Mech 316 -1 223 240 0877.76017 10.1017/S0022112096000511
    • (1996) J Fluid Mech , vol.316 , Issue.1 , pp. 223-240
    • Sarkar, K.1    Prosperetti, A.2
  • 44
    • 0000122056 scopus 로고
    • Measurement and prediction of rough wall effects on friction factor - Uniform roughness results
    • 10.1115/1.3243568
    • WF Scaggs RP Taylor HW Coleman 1988 Measurement and prediction of rough wall effects on friction factor - uniform roughness results J Fluids Eng 110 4 385 391 10.1115/1.3243568
    • (1988) J Fluids Eng , vol.110 , Issue.4 , pp. 385-391
    • Scaggs, W.F.1    Taylor, R.P.2    Coleman, H.W.3
  • 48
    • 0022075340 scopus 로고
    • Prediction of turbulent rough-wall skin friction using a discrete element approach
    • 10.1115/1.3242469
    • RP Taylor HW Coleman HB K 1985 Prediction of turbulent rough-wall skin friction using a discrete element approach J Fluids Eng 107 251 257 10.1115/1.3242469
    • (1985) J Fluids Eng , vol.107 , pp. 251-257
    • Taylor, R.P.1    Coleman, H.W.2    B, K.H.3
  • 49
    • 2342544063 scopus 로고    scopus 로고
    • Automotive tribology overview of current advances and challenges for the future
    • 10.1016/j.triboint.2004.01.013
    • SC Tung ML McMillan 2004 Automotive tribology overview of current advances and challenges for the future Trybol Int 37 517 536 10.1016/j.triboint.2004.01.013
    • (2004) Trybol Int , vol.37 , pp. 517-536
    • Tung, S.C.1    McMillan, M.L.2
  • 50
    • 33847237569 scopus 로고    scopus 로고
    • Numerical investigation of the influence of roughness on the laminar incompressible fluid flow through annular microchannels
    • Valdés JR, Miana MJ, Pelegay JL, Núñez JL, Pütz T (2007) Numerical investigation of the influence of roughness on the laminar incompressible fluid flow through annular microchannels. Int J Heat Mass Transf 50(9-10):1865-1878
    • (2007) Int J Heat Mass Transf , vol.50 , Issue.9-10 , pp. 1865-1878
    • Valdés Jr., M.1
  • 51
    • 47349128342 scopus 로고    scopus 로고
    • Introduction of a length correction factor for the calculation of laminar flow through microchannels with high surface roughness
    • Valdés JR, Miana MJ, Martínez M, Gracia L, Pütz T (2008) Introduction of a length correction factor for the calculation of laminar flow through microchannels with high surface roughness. Int J Heat Mass Transf 51(17-18):4573-4582
    • (2008) Int J Heat Mass Transf , vol.51 , Issue.17-18 , pp. 4573-4582
    • Valdés Jr., M.1
  • 52
    • 34347323998 scopus 로고    scopus 로고
    • Jump momentum boundary condition at a fluid-porous dividing surface: Derivation of the closure problem
    • Valdés-Parada FJ, Goyeau B, Ochoa-Tapia J (2007a) Jump momentum boundary condition at a fluid-porous dividing surface: derivation of the closure problem. Chem Eng Sci 62:4025-4039
    • (2007) Chem Eng Sci , vol.62 , pp. 4025-4039
    • Valdés-Parada, F.J.1    Goyeau, B.2    Ochoa-Tapia, J.3
  • 54
    • 67650621608 scopus 로고    scopus 로고
    • Jump condition for diffusive and convective mass transfer between a porous medium and a fluid involving adsorption and chemical reaction
    • Valdés-Parada FJ, Álvarez-Ramírez J, Goyeau B, Ochoa-Tapia JA (2009a) Jump condition for diffusive and convective mass transfer between a porous medium and a fluid involving adsorption and chemical reaction. Transp Porous Media 78:459-476
    • (2009) Transp Porous Media , vol.78 , pp. 459-476
    • Valdés-Parada, F.J.1    Álvarez-Ramírez, J.2    Goyeau, B.3    Ochoa-Tapia, J.A.4
  • 55
    • 67650639042 scopus 로고    scopus 로고
    • Computation of jump coefficients for momentum transfer between a porous medium and a fluid using a closed generalized transfer equation
    • Valdés-Parada FJ, Álvarez Ramírez J, Goyeau B, Ochoa-Tapia JA (2009b) Computation of jump coefficients for momentum transfer between a porous medium and a fluid using a closed generalized transfer equation. Transp Porous Media 78:439-457
    • (2009) Transp Porous Media , vol.78 , pp. 439-457
    • Valdés-Parada, F.J.1    Álvarez Ramírez, J.2    Goyeau, B.3    Ochoa-Tapia, J.A.4
  • 56
    • 0036529973 scopus 로고    scopus 로고
    • Slow viscous flow between hexagonal cylinders
    • DOI 10.1023/A:1015047102953
    • CY Wang 2002 Slow viscous flow between hexagonal cylinders Transp Porous Med 47 1 67 80 10.1023/A:1015047102953 (Pubitemid 34526822)
    • (2002) Transport in Porous Media , vol.47 , Issue.1 , pp. 67-80
    • Wang, C.Y.1
  • 57
    • 33847017372 scopus 로고    scopus 로고
    • Influence of three-dimensional wall roughness on the laminar flow in microtube
    • 10.1016/j.ijheatfluidflow.2006.08.005
    • H Wang Y Wang 2007 Influence of three-dimensional wall roughness on the laminar flow in microtube Int J Heat Fluid Flow 28 2 220 228 10.1016/j.ijheatfluidflow.2006.08.005
    • (2007) Int J Heat Fluid Flow , vol.28 , Issue.2 , pp. 220-228
    • Wang, H.1    Wang, Y.2
  • 58
    • 0023033970 scopus 로고
    • Flow in porous media i: A theoretical derivation of Darcy's law
    • 10.1007/BF01036523
    • S Whitaker 1986 Flow in porous media i: A theoretical derivation of Darcy's law Transp Porous Med 1 1 3 25 10.1007/BF01036523
    • (1986) Transp Porous Med , vol.1 , Issue.1 , pp. 3-25
    • Whitaker, S.1
  • 59
    • 78649741864 scopus 로고    scopus 로고
    • Permeability prediction of cross-flow through 2D isotropic unidirectional fibre beds
    • (submitted)
    • Woudberg S, Du Plessis JP (2010) Permeability prediction of cross-flow through 2D isotropic unidirectional fibre beds. J Fluid Mech (submitted)
    • (2010) J Fluid Mech
    • Woudberg, S.1    Du Plessis, J.P.2


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