Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2003-01-19
Physical Review E, v. 68, 036306 (2003)
Physics
Condensed Matter
Soft Condensed Matter
v1: 36 pages, 21 figures, LaTeX; submitted to Physical Review E; v2: minor additions to Abstract and Introduction
Scientific paper
10.1103/PhysRevE.68.036306
As was shown in an earlier paper [1], solids dispersed in a drying drop migrate to the (pinned) contact line. This migration is caused by outward flows driven by the loss of the solvent due to evaporation and by geometrical constraint that the drop maintains an equilibrium surface shape with a fixed boundary. Here, in continuation of our earlier paper [2], we theoretically investigate the evaporation rate, the flow field and the rate of growth of the deposit patterns in a drop over an angular sector on a plane substrate. Asymptotic power laws near the vertex (as distance to the vertex goes to zero) are obtained. A hydrodynamic model of fluid flow near the singularity of the vertex is developed and the velocity field is obtained. The rate of the deposit growth near the contact line is found in two time regimes. The deposited mass falls off as a weak power Gamma of distance close to the vertex and as a stronger power Beta of distance further from the vertex. The power Gamma depends only slightly on the opening angle Alpha and stays between roughly -1/3 and 0. The power Beta varies from -1 to 0 as the opening angle increases from 0 to 180 degrees. At a given distance from the vertex, the deposited mass grows faster and faster with time, with the greatest increase in the growth rate occurring at the early stages of the drying process.
Popov Yuri O.
Witten Thomas A.
No associations
LandOfFree
Characteristic Angles in the Wetting of an Angular Region: Deposit Growth does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Characteristic Angles in the Wetting of an Angular Region: Deposit Growth, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Characteristic Angles in the Wetting of an Angular Region: Deposit Growth will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-306672