The role of a pre-wetting layer in resolving the contact line paradox of thin films in infinite elastic domains

Anna Zigelman, Peter Breitman, Amir D. Gat

Research output: Contribution to journalArticlepeer-review

Abstract

Hydraulic fracturing for oil and gas production from shale formations, as well as natural geological phenomena, involve the propagation of thin viscous films within elastic media. For viscous fluids, stress diverges as the thickness of the film tends to zero, arresting the propagation of the film, and thus implying the contact line paradox. For free-surface films, this paradox is resolved by considering a precursor film, leading to Tanner's law. This approach was extended recently for viscous films between a thin elastic plate and a rigid solid, allowing calculation of the film propagation rate. In this work, we examine the effect of a pre-wetting layer on the rate of propagation of a viscous flow within an infinitely deep and long domain. We analyse the linear and nonlinear dynamic problems, and perform a self-similarity analysis. We find that peeling front propagation scales as time to the power of and for thin and thick pre-wetting layer limits, respectively. Our results contribute to the understanding of the contact line paradox in elastic media and the crucial role of the pre-wetting layer in resolving it.

Original languageEnglish
Article numberA24
Number of pages29
JournalJournal of Fluid Mechanics
Volume962
DOIs
StatePublished - 1 May 2023

Keywords

  • contact lines
  • thin films

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'The role of a pre-wetting layer in resolving the contact line paradox of thin films in infinite elastic domains'. Together they form a unique fingerprint.

Cite this