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Spontaneous imbibition experiment in newspaper sheets.

A M Miranda1, I L Menezes-Sobrinho, M S Couto

  • 1Departamento de Física, Universidade Federal de Viçosa, 36571-000, Viçosa, Minas Gerais, Brazil.

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Area of Science:

  • Physics of complex fluids
  • Surface science
  • Materials science

Background:

  • Spontaneous imbibition is a fundamental process in porous media, crucial for applications like printing and fluid absorption.
  • Understanding the ink-paper interface dynamics is key to controlling fluid spreading and pattern formation.

Purpose of the Study:

  • To investigate the behavior of the ink-paper interface during spontaneous imbibition.
  • To characterize the interface roughness as a function of time and paper orientation.
  • To determine the multiaffine nature of the interface evolution.

Main Methods:

  • Conducted spontaneous imbibition experiments with ink on paper.
  • Quantified interface roughness using growth (beta) and Hurst (H) exponents derived from the root mean square interface width (W).
  • Analyzed the qth order height-height correlation function to calculate the H{q} scaling exponent.

Main Results:

  • The Hurst (H) and H{q} scaling exponents were found to be dependent on the orientation of the paper sheets.
  • The growth exponent (beta) showed no dependence on paper orientation.
  • The ink-paper interface consistently exhibited multiaffine characteristics throughout the imbibition process.

Conclusions:

  • Paper orientation significantly influences the statistical properties of the ink-paper interface during spontaneous imbibition.
  • The observed multiaffine behavior suggests complex, orientation-dependent growth dynamics at the interface.
  • These findings contribute to a deeper understanding of fluid transport in anisotropic porous media.