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October 3, 2025Open Access

Self-similar rupture of thin films of power-law fluid

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Authors

MDMichael C. DallastonSKSteven A KeddaSMScott W. McCue

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Overview

Exploration reveals complex bifurcation structures in non-Newtonian fluid rupture, suggesting novel dynamics.

Key Points

  • Self-similar rupture occurs in thin films of power-law fluids under competing forces.
  • The bifurcation diagram shows a complex structure, particularly around the exponent n=1.
  • Numerical simulations find the primary branch of similarity solutions is robustly attracted.
  • An infinite number of solutions emerge in the extreme shear-thinning limit, indicating rich dynamics.

Cite This Study

Dallaston et al. (2025) studied this question.

synapsesocial.com/papers/68e034f7f0e39f13e7fa2ff1https://doi.org/10.48550/arxiv.2509.05383
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