Recent Publications

• Theory and modeling of thin film flows,

O'Brien, SBG and Schwartz, LW
Encyclopedia of Surface and Colloid Sci. pp 5283 - 5297, 2002.
 | Download Manuscript |  .
 
• A mathematical model for an expanding foam,

Schwartz, LW and Roy, RV,
J. Colloid Interf. Sci. 2002 (submitted).
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• Flow of architectural coatings on complex surfaces; theory and experiment,

Schwartz, LW and Eley, RR,
J. Engrg. Maths. 43, 153-171, 2002.
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• A lubrication model of coating flows over a curved substrate in space,

Roy, RV, Roberts, AJ and Simpson, ME,
J. Fluid Mech.. 454, 235-261, 2002.
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• Numerical modeling of liquid withdrawal from gravure cavities in coating operations;  the effect of the cell pattern,

Schwartz LW,
J. Engrg. Maths. 42, 243 - 253, 2002.
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• Milton Van Dyke, the Man and His Work,

Schwartz LW,
Ann. Rev. Fluid Mech. 34, 1-18, 2002.
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• Some results concerning the potential energy  of interfaces with nonuniformly distributed surfactant,

Schwartz LW, and Roy RV,
Physics of Fluids 13, 3089 - 3092, 2001.
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• On the asymptotic analysis of stress-driven thin-layer flow,

Schwartz LW,
J. Engrg. Maths. 39, 171 - 188, 2001.
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• Dewetting Patterns in a Drying Liquid Film,

Schwartz LW, Roy RV, Eley RR, and Petrash S,
Journal of Colloid and Interface Science, 234, 363-374, 2001.
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• A mathematical model for crater defect formation in a drying paint layer,

Evans PL, Schwartz LW, and Roy RV,
Journal of Colloid and Interface Science, 227, 191-205, 2000.
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• Extensional fall of a very viscous fluid drop

Stokes, Y.M., Tuck, E.O., and Schwartz, L.W.
Q. J. Mech. appl. Math. 53 (4), pp. 565-582, 2000.
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• Theoretical and Numerical Modeling of Coating Flows on Simple and Complex Substrates including Rheology, Drying and Marangoni Effects

L.W. Schwartz,
in Advances in Coating and Drying of Thin Films, F. Durst & H. Raszillier, Eds., Shaker Verlag, Aachen, 1999.
| Download Manuscript| .
 
• Modeling Thin Layer Flows with Strong Surface Tension Gradient effect

L.W. Schwartz, R.V. Roy
in Advances in Coating and Drying of Thin Films, F. Durst & H. Raszillier, Eds., Shaker Verlag, Aachen, 1999.
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• Morphological Stability and Nonlinear Evolution of Capillary Ridges

Roy RV, Schwartz LW
in Advances in Coating and Drying of Thin Films, F. Durst & H. Raszillier, Eds., Shaker Verlag, Aachen, 1999.
|Abstract| |Download Manuscript| .
 
• Fingering phenomena for driven coating films

Eres MH, Schwartz LW, Roy RV
Physics of Fluids, vol. 12 (6), pp. 1278-1295, 2000. .
Abstract . Download Manuscript. .
 
• Influence of gravity on the stability of capillary liquid ridges

Roy RV, Schwartz LW
Journal of Fluid Mechanics, (in review).
Abstract .
 
• Modeling draining flow in mobile and immobile soap films

Schwartz LW, Roy RV
Journal of Colloid and Interface Science, vol. 218, pp. 309-323, 1999.
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• On the stability of liquid ridges

Roy RV, Schwartz LW
Journal of Fluid Mechanics, 391: 293-318 JUL 25 1999.
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• Three-dimensional direct numerical simulation of surface-tension-gradient effects on the leveling of an evaporating multicomponent fluid

Eres MH, Weidner DE, Schwartz LW
Langmuir, 15: (5) 1859-1871, 1999.
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• Hysteretic effects in droplet motions on heterogeneous substrates: Direct numerical simulation

Schwartz LW
Langmuir, 14: (12) 3440-3453, 1998.
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• Simulation of droplet motion on low-energy and heterogeneous surfaces

Schwartz LW, Eley RR
Journal of Colloid and Interface Science, 202: (1), pp. 173-188, 1998.
|Abstract| | Download Manuscript | .
 
• Numerical modelling of liquid withdrawal from gravure cavities in coating operations

Schwartz LW, Moussalli P, Campbell P, Eley RR
Chemical Engineering Research & Design, 76: (A), pp. 22-28, 1998,
|Abstract| | Download Manuscript | .
 
• Coating flows over curved substrates

Roy RV, Schwartz LW
Fluid Mechanics of Coating Processes , Proceedings of the Second European Coating Symposium, (Ed. P. Bourgin), 1997.
|Abstract |. | Download Manuscript|. .
 
• Slow slumping of a very viscous liquid bridge

E.O. Tuck, Y.M. Stokes and L.W. Schwartz
Journal of Engineering Mathematics , vol. 32, pp. 27-40, 1997.
| Abstract || Download Manuscript| .
 
• Unsteady simulation of viscous thin-layer flows

Schwartz L.W.
in Free-Surface Flows with Viscosity
P. Tyvand, Ed., pp. 203 - 233, Computational Mech. Publ., Southampton, 1997. Abstract .
 
• Simulation of coating layer evolution and drop formation on horizontal cylinders

Weidner DE, Schwartz LW, Eres MH
Journal of Colloid and Interface Science, 187: (1) 243-258, 1997.
|Abstract| | Download Manuscript| .
 
• Anomalous behavior during leveling of thin coating layers with surfactant

Schwartz LW, Cairncross RA, Weidner DE
Physics of Fluids, 8: (7) 1693-1695 JUL 1996.
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• Role of surface tension gradients in correcting coating defects in corners

D.E. Weidner, L.W. Schwartz, and R.R. Eley,
Journal of Colloid and Interface Science , vol. 179, pp. 66-75, 1996.
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• An analysis of the effect of surfactant on the leveling behavior of a thin liquid coating layer
,
Schwartz LW, D. E. Weidner & R. R. Eley,
Langmuir , 11, 3690 - 3693, 1995.
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• Contact-line motion of shear-thinning liquids

D.E. Weidner, L.W. Schwartz,
Physics of Fluids, 6: (11) 3535-3539, 1994.
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• Dynamic considerations in the closing and opening of holes in thin liquid films

J.A. Moriarty, L.W. Schwartz
Journal of Colloid and Interface Science , vol. 161, pp. 335-342, 1993.
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• Unsteady spreading of thin liquid films with small surface tension,

J.A. Moriarty, L.W. Schwartz, and E.O. Tuck
Physics of Fluid vol. A 3 (5), pp. 733-743, 1991.
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• An experimental and numerical investigation of buoyancy-driven two-phase displacement

W.E. Weidner, L.W. Schwartz,
Physics of Fluids, A 3: (9) 2076-2080, 1991.
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• A numerical and asymptotic study of some third-order ordinary differential equations relevant to draining and coating flows,

E.O. Tuck, L.W. Schwartz,
SIAM Review, 32 (3), pp. 453-469, 1990.
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• Viscous flows down an inclined plane: Instability and finger formation,

L.W. Schwartz,
Physics of Fluids, A 1, 443 - 445, 1989.
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• Gravity flow of a viscous liquid down a slope with injection,

L.W. Schwartz and E. E. Michaelides,
Physics of Fluids, 31, 2739-2741, 1988.
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