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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.
Physical Review Letters
|April 7, 2010
Summary
Ink spreading on paper shows a multiaffine interface. Interface roughness exponents depend on paper orientation, but the growth exponent remains consistent, revealing insights into spontaneous imbibition dynamics.
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.
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