A study of the evaporative deposition process: Pipes and truncated transport dynamics |
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Authors: | R Zheng |
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Institution: | (1) James Franck Institute and Department of Physics, The University of Chicago, 929 E. 57th Street, 60637 Chicago, Illinois, USA |
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Abstract: | We consider contact line deposition of an evaporating thin drop. Following Dupont’s proposal (unpublished), we focus on transport
dynamics truncated by a maximal concentration as the single deposition mechanism. The truncated transport process, formalized
as the “pipe model”, admits a characteristic shock front that has a robust functional form and depends only on local hydrodynamic
properties. By applying the pipe model, we solve the density profile in different asymptotic regimes. In particular, we find
that near the contact line the density profile follows a scaling law that is proportional to the square root of the concentration
ratio defined as the initial solute volume concentration divided by the maximal concentration. The maximal deposit density
occurs at about 2/3 of the total drying time for uniform evaporation and 1/2 for diffusion-controlled evaporation. Away from
the contact line, areal density decays exponentially with the radial distance to the power of -3 for the uniform evaporation
and -7 for the diffusion-controlled evaporation. |
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Keywords: | PACS" target="_blank">PACS 47 57 -s Complex fluids and colloidal systems 68 03 Fg Evaporation and condensation of liquids 81 15 -z Methods of deposition of films and coatings film growth and epitaxy |
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