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  1. Journal of Engineering Mathematics
  2. Journal of Engineering Mathematics : Volume 50
  3. Journal of Engineering Mathematics : Volume 50, Issue 2-3, November 2004
  4. Corner flow in free liquid films
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Journal of Engineering Mathematics : Volume 104
Journal of Engineering Mathematics : Volume 103
Journal of Engineering Mathematics : Volume 102
Journal of Engineering Mathematics : Volume 101
Journal of Engineering Mathematics : Volume 100
Journal of Engineering Mathematics : Volume 98
Journal of Engineering Mathematics : Volume 97
Journal of Engineering Mathematics : Volume 96
Journal of Engineering Mathematics : Volume 95
Journal of Engineering Mathematics : Volume 94
Journal of Engineering Mathematics : Volume 93
Journal of Engineering Mathematics : Volume 92
Journal of Engineering Mathematics : Volume 91
Journal of Engineering Mathematics : Volume 90
Journal of Engineering Mathematics : Volume 89
Journal of Engineering Mathematics : Volume 88
Journal of Engineering Mathematics : Volume 87
Journal of Engineering Mathematics : Volume 86
Journal of Engineering Mathematics : Volume 85
Journal of Engineering Mathematics : Volume 84
Journal of Engineering Mathematics : Volume 83
Journal of Engineering Mathematics : Volume 82
Journal of Engineering Mathematics : Volume 81
Journal of Engineering Mathematics : Volume 80
Journal of Engineering Mathematics : Volume 79
Journal of Engineering Mathematics : Volume 78
Journal of Engineering Mathematics : Volume 77
Journal of Engineering Mathematics : Volume 76
Journal of Engineering Mathematics : Volume 75
Journal of Engineering Mathematics : Volume 74
Journal of Engineering Mathematics : Volume 73
Journal of Engineering Mathematics : Volume 72
Journal of Engineering Mathematics : Volume 71
Journal of Engineering Mathematics : Volume 70
Journal of Engineering Mathematics : Volume 69
Journal of Engineering Mathematics : Volume 68
Journal of Engineering Mathematics : Volume 67
Journal of Engineering Mathematics : Volume 66
Journal of Engineering Mathematics : Volume 65
Journal of Engineering Mathematics : Volume 64
Journal of Engineering Mathematics : Volume 63
Journal of Engineering Mathematics : Volume 62
Journal of Engineering Mathematics : Volume 61
Journal of Engineering Mathematics : Volume 60
Journal of Engineering Mathematics : Volume 59
Journal of Engineering Mathematics : Volume 58
Journal of Engineering Mathematics : Volume 57
Journal of Engineering Mathematics : Volume 56
Journal of Engineering Mathematics : Volume 55
Journal of Engineering Mathematics : Volume 54
Journal of Engineering Mathematics : Volume 53
Journal of Engineering Mathematics : Volume 52
Journal of Engineering Mathematics : Volume 51
Journal of Engineering Mathematics : Volume 50
Journal of Engineering Mathematics : Volume 50, Issue 4, December 2004
Journal of Engineering Mathematics : Volume 50, Issue 2-3, November 2004
Preface
Rimming flows within a rotating horizontal cylinder: asymptotic analysis of the thin-film lubrication equations and stability of their solutions
Subcritical and supercritical bifurcations of the first- and second-order Benney equations
Flow of surfactant-laden thin films down an inclined plane
Surfactant-driven motion and splitting of droplets on a substrate
Wave dynamics on a thin-liquid film falling down a heated wall
Diffusion-limited evaporation of thin polar liquid films
Generation of interfacial instabilities in charged electrified viscous liquid films
Surface-tension-driven dewetting of Newtonian and power-law fluids
Corner flow in free liquid films
Thin-film flows near isolated humps and interior corners
Effect of inertia on the Marangoni instability of two-layer channel flow, Part I: numerical simulations
Effect of inertia on the Marangoni instability of two-layer channel flow, Part II: normal-mode analysis
Journal of Engineering Mathematics : Volume 50, Issue 1, September 2004
Journal of Engineering Mathematics : Volume 49
Journal of Engineering Mathematics : Volume 48
Journal of Engineering Mathematics : Volume 47
Journal of Engineering Mathematics : Volume 46
Journal of Engineering Mathematics : Volume 45
Journal of Engineering Mathematics : Volume 44
Journal of Engineering Mathematics : Volume 43
Journal of Engineering Mathematics : Volume 42
Journal of Engineering Mathematics : Volume 41
Journal of Engineering Mathematics : Volume 40
Journal of Engineering Mathematics : Volume 39
Journal of Engineering Mathematics : Volume 38
Journal of Engineering Mathematics : Volume 37
Journal of Engineering Mathematics : Volume 36
Journal of Engineering Mathematics : Volume 35
Journal of Engineering Mathematics : Volume 34
Journal of Engineering Mathematics : Volume 33
Journal of Engineering Mathematics : Volume 32
Journal of Engineering Mathematics : Volume 31

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Corner flow in free liquid films

Content Provider SpringerLink
Author Stocker, Roman Hosoi, A. E.
Copyright Year 2004
Abstract A lubrication-flow model for a free film in a corner is presented. The model, written in the hyperbolic coordinate system ξ = x 2 −y 2, η = 2xy, applies to films that are thin in the η-direction. The lubrication approximation yields two coupled evolution equations for the film thickness and the velocity field which, to lowest order, describes plug flow in the hyperbolic coordinates. A free film in a corner evolving under surface tension and gravity is investigated. The rate of thinning of a free film is compared to that of a film evolving over a solid substrate. Viscous shear and normal stresses are both captured in the model and are computed for the entire flow domain. It is shown that normal stress dominates over shear stress in the far field, while shear stress dominates close to the corner.
Starting Page 267
Ending Page 288
Page Count 22
File Format PDF
ISSN 00220833
Journal Journal of Engineering Mathematics
Volume Number 50
Issue Number 2-3
e-ISSN 15732703
Language English
Publisher Kluwer Academic Publishers
Publisher Date 2004-01-01
Publisher Place Dordrecht
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword corner hyperbolic coordinates lubrication theory thin film Numeric Computing Analysis Applications of Mathematics Mathematical Modeling and Industrial Mathematics Mechanics
Content Type Text
Resource Type Article
Subject Mathematics Engineering
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