메뉴 건너뛰기




Volumn 544, Issue , 2005, Pages 353-377

Lubrication in a corner

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; CAPILLARY FLOW; GRAVITATION; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; SURFACE TENSION; THIN FILMS;

EID: 28644433817     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112005006725     Document Type: Article
Times cited : (11)

References (41)
  • 3
    • 0032368532 scopus 로고    scopus 로고
    • Long-wave instabilities and saturation in thin film equations
    • Bertozzi, A. L. & Pugh, M. C. 1998 Long-wave instabilities and saturation in thin film equations. Commun Pure Appl. Maths 51, 625-661.
    • (1998) Commun Pure Appl. Maths , vol.51 , pp. 625-661
    • Bertozzi, A.L.1    Pugh, M.C.2
  • 4
    • 0036353773 scopus 로고    scopus 로고
    • Rise of liquids and bubbles in angular capillary tubes
    • Bico, J. & Queré, D. 2002 Rise of liquids and bubbles in angular capillary tubes. J. Colloid. Interface Sci. 247, 162-166.
    • (2002) J. Colloid. Interface Sci. , vol.247 , pp. 162-166
    • Bico, J.1    Queré, D.2
  • 5
    • 0028388913 scopus 로고
    • Drop formation in a one-dimensional approximation of the Navier-Stokes equation
    • Eggers, J. & Dupont, T. F. 1994 Drop formation in a one-dimensional approximation of the Navier-Stokes equation. J. Fluid Mech. 262, 205-221.
    • (1994) J. Fluid Mech. , vol.262 , pp. 205-221
    • Eggers, J.1    Dupont, T.F.2
  • 6
    • 0039535753 scopus 로고
    • Pulmonary flow and transport phenomena
    • Grotberg, J. B. 1994 Pulmonary flow and transport phenomena. Annu. Rev. Fluid Mech. 26, 529-571.
    • (1994) Annu. Rev. Fluid Mech. , vol.26 , pp. 529-571
    • Grotberg, J.B.1
  • 7
    • 0037058340 scopus 로고    scopus 로고
    • The steady propagation of a semi-infinite bubble into a tube elliptical or rectangular cross-section
    • Hazel, A. L. & Heil, M. 2002 The steady propagation of a semi-infinite bubble into a tube elliptical or rectangular cross-section. J. Fluid Mech. 470, 91-114.
    • (2002) J. Fluid Mech. , vol.470 , pp. 91-114
    • Hazel, A.L.1    Heil, M.2
  • 8
    • 0037055048 scopus 로고    scopus 로고
    • Airway closure: Surface-tension-driven non-axisymmetric instabilities of liquid-lined elasitc rings
    • Heil, M. & White, J. P. 2002 Airway closure: Surface-tension-driven non-axisymmetric instabilities of liquid-lined elasitc rings. J. Fluid Mech. 462, 79-109.
    • (2002) J. Fluid Mech. , vol.462 , pp. 79-109
    • Heil, M.1    White, J.P.2
  • 9
    • 0003028616 scopus 로고    scopus 로고
    • Axial instability of a free surface front in a partially-filled rotating cylinder
    • Hosoi, A. E. & Mahadevan, L. 1999 Axial instability of a free surface front in a partially-filled rotating cylinder. Phys. Fluids 11, 97-106.
    • (1999) Phys. Fluids , vol.11 , pp. 97-106
    • Hosoi, A.E.1    Mahadevan, L.2
  • 10
    • 0020335797 scopus 로고
    • The propagation of two-dimensional and axisymmetric viscous gravity currents over a rigid horizontal surface
    • Huppert, H. E. 1982 The propagation of two-dimensional and axisymmetric viscous gravity currents over a rigid horizontal surface. J. Fluid Mech. 121, 43-58.
    • (1982) J. Fluid Mech. , vol.121 , pp. 43-58
    • Huppert, H.E.1
  • 11
    • 14944342960 scopus 로고    scopus 로고
    • Thin film flows near isolated humps and interior corners
    • Jensen, O. E., Chini, G. P. & King, J. R. 2004 Thin film flows near isolated humps and interior corners. J. Engng Maths 50, 289-309.
    • (2004) J. Engng. Maths , vol.50 , pp. 289-309
    • Jensen, O.E.1    Chini, G.P.2    King, J.R.3
  • 12
    • 0034255383 scopus 로고    scopus 로고
    • Steady free-surface thin film flows over topography
    • Kalliadasis, S., Bielarz, C. & Homsy, G. M. 2000 Steady free-surface thin film flows over topography. Phys. Fluids 12, 1889-1898.
    • (2000) Phys. Fluids , vol.12 , pp. 1889-1898
    • Kalliadasis, S.1    Bielarz, C.2    Homsy, G.M.3
  • 14
    • 0001239937 scopus 로고
    • Film flow in the space between a circular bubble and a square tube
    • Kolb, W. B. & Cerro, R. L. 1993a Film flow in the space between a circular bubble and a square tube. J. Colloid. Interface Sci. 159, 302-311.
    • (1993) J. Colloid. Interface Sci. , vol.159 , pp. 302-311
    • Kolb, W.B.1    Cerro, R.L.2
  • 15
    • 0027391545 scopus 로고
    • The motion of long bubbles in tubes of square cross section
    • Kolb, W. B. & Cerro, R. L. 1993b The motion of long bubbles in tubes of square cross section. Phys. Fluids A 5, 1549-1557.
    • (1993) Phys. Fluids A , vol.5 , pp. 1549-1557
    • Kolb, W.B.1    Cerro, R.L.2
  • 16
  • 18
    • 0035477309 scopus 로고    scopus 로고
    • Free surface stokes flow over topography
    • Mazouchi, A. & Homsy, G. M. 2001 Free surface stokes flow over topography. Phys. Fluids 13, 2751-2761.
    • (2001) Phys. Fluids , vol.13 , pp. 2751-2761
    • Mazouchi, A.1    Homsy, G.M.2
  • 19
    • 77952889884 scopus 로고
    • Viscous and resistive eddies near a sharp corner
    • Moffatt, H. K. 1964 Viscous and resistive eddies near a sharp corner. J. Fluid Mech. 18, 1-18.
    • (1964) J. Fluid Mech. , vol.18 , pp. 1-18
    • Moffatt, H.K.1
  • 20
    • 0030353684 scopus 로고    scopus 로고
    • Mathematical modelling of the motion of hard contact lenses
    • Moriarty, J. A. & Terrill, E. L. 1996 Mathematical modelling of the motion of hard contact lenses. Eur. J. Appl. Maths 7, 575-594.
    • (1996) Eur. J. Appl. Maths , vol.7 , pp. 575-594
    • Moriarty, J.A.1    Terrill, E.L.2
  • 21
    • 0032165809 scopus 로고    scopus 로고
    • Thin films with high surface tension
    • Myers, T. G. 1998 Thin films with high surface tension. SIAM Rev. 40, 441-462.
    • (1998) SIAM Rev. , vol.40 , pp. 441-462
    • Myers, T.G.1
  • 22
    • 0038537254 scopus 로고    scopus 로고
    • Unsteady laminar flow over a rough surface
    • Myers, T. G. 2003 Unsteady laminar flow over a rough surface. J. Engng Maths 46, 111-126.
    • (2003) J. Engng Maths , vol.46 , pp. 111-126
    • Myers, T.G.1
  • 23
    • 0033397987 scopus 로고    scopus 로고
    • A 1-D theory for extensional deformation of a viscoelastic filament under exponential stretching
    • Olagunju, D. O. 1999 A 1-D theory for extensional deformation of a viscoelastic filament under exponential stretching. J. Non-Newtonian Fluid Mech. 87, 27-46.
    • (1999) J. Non-Newtonian Fluid Mech. , vol.87 , pp. 27-46
    • Olagunju, D.O.1
  • 24
    • 0031480080 scopus 로고    scopus 로고
    • Long-scale evolution of thin liquid films
    • Oron, A., Davis, S. H. & Bankoff, S. G. 1997 Long-scale evolution of thin liquid films. Rev. Mod. Phys. 69, 931-980.
    • (1997) Rev. Mod. Phys. , vol.69 , pp. 931-980
    • Oron, A.1    Davis, S.H.2    Bankoff, S.G.3
  • 26
    • 0036960363 scopus 로고    scopus 로고
    • Capillary-elastic instabilities of liquid-lined lung airways
    • Rosenzweig, J. & Jensen, O. E. 2002 Capillary-elastic instabilities of liquid-lined lung airways. J. Biomech. Engng 124, 650-655.
    • (2002) J. Biomech. Engng. , vol.124 , pp. 650-655
    • Rosenzweig, J.1    Jensen, O.E.2
  • 27
    • 0037051414 scopus 로고    scopus 로고
    • A lubrication model of coating flows over a curved substrate in space
    • Roy, R. V., Roberts, A. J. & Simpson, M. E. 2002 A lubrication model of coating flows over a curved substrate in space. J. Fluid Mech. 454, 235-261.
    • (2002) J. Fluid Mech. , vol.454 , pp. 235-261
    • Roy, R.V.1    Roberts, A.J.2    Simpson, M.E.3
  • 28
    • 0017996019 scopus 로고
    • Flow of a falling film into a pool
    • Ruschak, K. J. 1978 Flow of a falling film into a pool. AIChE J. 24, 705-708.
    • (1978) AIChE J. , vol.24 , pp. 705-708
    • Ruschak, K.J.1
  • 29
    • 0001223205 scopus 로고
    • Slender viscoelastic fiber flow
    • Schultz, W. W. 1987 Slender viscoelastic fiber flow. J. Rheol. 31, 733-750.
    • (1987) J. Rheol. , vol.31 , pp. 733-750
    • Schultz, W.W.1
  • 30
    • 26044444939 scopus 로고
    • Modeling of coating flows on curved surfaces
    • Schwartz, L. W. & Weidner, D. E. 1995 Modeling of coating flows on curved surfaces. J. Engng Maths 29, 91-103.
    • (1995) J. Engng. Maths , vol.29 , pp. 91-103
    • Schwartz, L.W.1    Weidner, D.E.2
  • 31
    • 0030291980 scopus 로고    scopus 로고
    • Stress relaxation and elastic decohesion of viscoelastic polymer solutions in extensional flow
    • Spiegelberg, S. H. & McKinley, G. H. 1996 Stress relaxation and elastic decohesion of viscoelastic polymer solutions in extensional flow. J. Non-Newtonian Fluid Mech. 67, 49-76.
    • (1996) J. Non-Newtonian Fluid Mech. , vol.67 , pp. 49-76
    • Spiegelberg, S.H.1    McKinley, G.H.2
  • 32
    • 5244364576 scopus 로고
    • Fundamentals of topographic substrate leveling
    • Stillwagon, L. E. & Larson, R. G. 1988 Fundamentals of topographic substrate leveling. J. Appl. Phys. 63, 5251-5258.
    • (1988) J. Appl. Phys. , vol.63 , pp. 5251-5258
    • Stillwagon, L.E.1    Larson, R.G.2
  • 33
    • 0001111193 scopus 로고
    • Leveling of thin films over uneven substrates during spin coating
    • Stillwagon, L. E. & Larson, R. G. 1990 Leveling of thin films over uneven substrates during spin coating. Phys. Fluids A 2, 1937-1944.
    • (1990) Phys. Fluids A , vol.2 , pp. 1937-1944
    • Stillwagon, L.E.1    Larson, R.G.2
  • 34
    • 14944379859 scopus 로고    scopus 로고
    • Corner flow in free liquid films
    • Stocker, R. & Hosoi, A. E. 2004 Corner flow in free liquid films. J. Engng Maths 50, 267-288.
    • (2004) J. Engng. Maths , vol.50 , pp. 267-288
    • Stocker, R.1    Hosoi, A.E.2
  • 35
    • 0028992162 scopus 로고
    • Bubble-train flow in capillaries of circular and square cross section
    • Thulasidas, T. C., Abraham, M. A. & Cerro, R. L. 1995 Bubble-train flow in capillaries of circular and square cross section. Chem. Engng Sci. 50, 183-199.
    • (1995) Chem. Engng. Sci. , vol.50 , pp. 183-199
    • Thulasidas, T.C.1    Abraham, M.A.2    Cerro, R.L.3
  • 36
    • 0002892244 scopus 로고
    • Mechanisms of aqueous foam stability and antifoaming action with and without oil: A thin film approach
    • (ed. L. L. Schramm), American Chemical Society, Washington
    • Wasan, D. T., Koczo, K. & Nikolov, A. D. 1994 Mechanisms of aqueous foam stability and antifoaming action with and without oil: A thin film approach. In Foams: Fundamentals and Applications in Petroleum Industry (ed. L. L. Schramm), pp. 47-114. American Chemical Society, Washington.
    • (1994) Foams: Fundamentals and Applications in Petroleum Industry , pp. 47-114
    • Wasan, D.T.1    Koczo, K.2    Nikolov, A.D.3
  • 37
    • 0035504083 scopus 로고    scopus 로고
    • Capillary flow in interior corners: The infinite column
    • Weislogel, M. M. 2001 Capillary flow in interior corners: The infinite column. Phys. Fluids 13, 3101-3107.
    • (2001) Phys. Fluids , vol.13 , pp. 3101-3107
    • Weislogel, M.M.1
  • 38
    • 0032179838 scopus 로고    scopus 로고
    • Capillary flow in an interior corner
    • Weislogel, M. M. & Lichter, S. 1998 Capillary flow in an interior corner. J. Fluid Mech. 373, 349-378.
    • (1998) J. Fluid Mech. , vol.373 , pp. 349-378
    • Weislogel, M.M.1    Lichter, S.2
  • 39
    • 0030560887 scopus 로고    scopus 로고
    • Deposition and thinning of the human tear film
    • Wong, H., Fatt, I. & Radke, C. J. 1996 Deposition and thinning of the human tear film. J. Colloid. Interface Sci. 184, 44-51.
    • (1996) J. Colloid. Interface Sci. , vol.184 , pp. 44-51
    • Wong, H.1    Fatt, I.2    Radke, C.J.3
  • 40
    • 0029310851 scopus 로고
    • The motion of long bubbles in polygonal capillaries. Part 1. Thin films
    • Wong, H., Radke, C. J. & Morris, S. 1995 The motion of long bubbles in polygonal capillaries. Part 1. Thin films. J. Fluid Mech. 292, 71-94.
    • (1995) J. Fluid Mech. , vol.292 , pp. 71-94
    • Wong, H.1    Radke, C.J.2    Morris, S.3
  • 41
    • 36549095705 scopus 로고
    • Rayleigh-taylor instability in this viscous films
    • Yiantsios, S. G. & Higgins, B. G. 1989 Rayleigh-taylor instability in this viscous films. Phys. Fluids A 1, 1484-1501.
    • (1989) Phys. Fluids A , vol.1 , pp. 1484-1501
    • Yiantsios, S.G.1    Higgins, B.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.