Polymer Patterns in Evaporating Droplets on Dissolving
Substrates
Manoj Gonuguntla and Ashutosh Sharma*
Department of Chemical Engineering, Indian Institute of Technology at Kanpur,
Kanpur 208016, India
Received November 26, 2003. In Final Form: February 1, 2004
Self-organized polymer patterns resulting from the evaporation of an organic solvent drop on a soluble
layer of polymer are investigated. The patterns can be modulated by changing the rate of evaporation and
also the rate of substrate dissolution controlled by its solubility. Both of these affect the contact zone motion
and its instabilities, leading to spatially variable rates of substrate etching and redeposition that result
from a complex interplay of several factors such as Rayleigh-Benard cells, thermocapillary flow, solutal
Marangoni flow, flow due to differential evaporation, osmotic-pressure-induced flow, and contact-line
pinning-depinning events. The most complex novel pattern, observed at relatively low rates of evaporation,
medium solubility, and without macroscopic contact-line stick-slip, consists of a regularly undulating ring
made up of a bundle of parallel spaghetti-like threads or striations and radially oriented fingerlike ridges.
Increased rate of evaporation obliterates the polymer threads, producing more densely packed fingers and
widely separated multiple rings due to a frequent macroscopic pinning-depinning of the contact line.
Near-equilibrium conditions such as slow evaporation or increased solubility of the substrate engender
a wider and less undulating single ring.
Introduction
When a solution or a particle containing suspension
droplet dries, the solute is often distributed on the
substrate in interesting ring patterns, usually in the
vicinity of a (pinned) contact line. The mesoscopic struc-
tures thus produced have been extensively studied due to
their potential importance in mesopatterning by organi-
zation of particles and other solutes, surface cleaning and
coating technologies, preparation of polymer films, optical
elements, surface-adhered proteins assays, data storage,
microelectronics, and other applications requiring small-
scale soft patterns. Since patterns are formed only in the
immediate vicinity of the contact line, it is possible to
greatly downsize the printed features relative to the size
of the solution droplet, leading to novel soft lithography
schemes. Some interesting examples of evaporation-
assisted patterning are the formation of micron-sized
copper lines from a ribbon of copper hexanoate solution,
1
long-range ordering of diblock copolymers by strong droplet
pinning,
2
and nanostructuring of conjugate molecules by
a stamp-assisted pinning.
3
Much of the effort has been directed toward patterns
formed by evaporation of colloidal particle dispersions.
The “coffee-stain problem” studied by Deegan et al.
4-6
reported the formation of ring deposit of particles by drying
of a suspension drop. Adachi et al.
7
reported the formation
of concentric multiple rings of particles attributed to
repeated pinning/depinning of the contact line.
In all of the previous studies, the self-organizing features
near a contact line have been studied in evaporating drops
of solutions (for example, suspensions of metal or latex
microspheres, polymer or protein solutions) on nondis-
solving substrates. The objective of this study is to
investigate the self-organized patterns that result from
the evaporation of an initially pure solvent drop on a
dissolving substrate. To clearly compare and contrast this
study with the earlier works on the drying of solution
droplets, we first present some of the known salient
features and mechanisms of the patterns in drying solution
drops.
The rate of evaporation in a droplet is maximum near
the contact line, which causes a flow of liquid and solute
toward the contact line,
2,4
often pinning it for some time.
The solute concentration thus rises near the contact line.
The phenomenon of ringlike stain formation in a dried
drop of coffee was explained by this mechanism. Deegan
et al.
5
proposed a model to predict the flow velocity, growth
rate of the deposited ring, and the distribution of the solute.
Formation of distinct multiple concentric rings was also
observed in drops containing small particles (0.1 μm), but
multiple rings were absent when larger (1 μm) particles
were used that prevented depinning.
5
An increase in the
localized rate of evaporation near the apex of a droplet
yielded a more uniform deposit of solute (rather than a
ring pattern) as the redistribution of solute toward the
contact line became weaker.
6
The formation of multiple rings was also reported by
Adachi et al.
7
when a suspension droplet was evaporated
on a glass slide. In this study, the three-phase contact-
line motion seemed to be an oscillatory stick-slip, for
which a model was also proposed. The oscillation was
suggested to result from the competing friction and surface
tension at the contact line. Maeda
8
investigated the
concentric ring patterns from evaporating droplets of
collagen solutions. The formation of multiple rings and
the dynamics of the motion of the contact line were also
* To whom correspondence should be addressed. E-mail:
ashutos@iitk.ac.in.
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3456 Langmuir 2004, 20, 3456-3463
10.1021/la0362268 CCC: $27.50 © 2004 American Chemical Society
Published on Web 03/17/2004