Hydrodynamics of Writing with Ink
- Hydrodynamics of Writing with Ink
- 김정철; 문명운; 이광렬; L. Mahadevan; 김호영
- Ink Writing; Hydrophilic; DLC
- Issue Date
- Physical review letters
- VOL 107, NO 26, 264501-1-264501-4
- Writing with ink involves the supply of liquid from a pen onto a porous hydrophilic solid surface, paper.
The resulting linewidth depends on the pen speed and the physicochemical properties of the ink and paper.
Here we quantify the dynamics of this process using a combination of experiment and theory. Our
experiments are carried out using a minimal pen, a long narrow tube that serves as a reservoir of liquid,
which can write on a model of paper, a hydrophilic micropillar array. A minimal theory for the rate of
wicking or spreading of the liquid is given by balancing the capillary force that drives the liquid flow and
the resistance associated with flow through the porous substrate. This allows us to predict the shape of the
front and the width of the line laid out by the pen, with results that are corroborated by our experiments.
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