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Volumn 112, Issue 6, 2014, Pages

Capillary Bridges between soft substrates

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EID: 84894453359     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.112.066102     Document Type: Article
Times cited : (47)

References (27)
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    • The second radius of curvature is not exactly a, since a measures the radius of the contact line. However, for drops with h ≠a the difference is a higher-order effect.
    • The second radius of curvature is not exactly a, since a measures the radius of the contact line. However, for drops with h ≠a the difference is a higher-order effect.
  • 23
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    • Examination of Fig. 4 reveals that d u z / d r, and hence d u Ëœ z / d r, is steepest at the contact line, r Ëœ = 1. In fact, for a substrate with infinite thickness, d I / d r is logarithmically singular at this point. The weak nature of this singularity, however, means that even large values of d / a produce d u Ëœ z / d r Ëœ that is of order 1. Furthermore, it is likely that local effects due to the contact line force and the surface tension of the solid will weaken the singularity [12].
    • Examination of Fig. 4 reveals that d u z / d r, and hence d u Ëœ z / d r, is steepest at the contact line, r Ëœ = 1. In fact, for a substrate with infinite thickness, d I / d r is logarithmically singular at this point. The weak nature of this singularity, however, means that even large values of d / a produce d u Ëœ z / d r Ëœ that is of order 1. Furthermore, it is likely that local effects due to the contact line force and the surface tension of the solid will weaken the singularity [12].
  • 25


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