INSTITUTE OF PHYSICS PUBLISHING JOURNAL OF MICROMECHANICS AND MICROENGINEERING
J. Micromech. Microeng. 14 (2004) 1185–1189 PII: S0960-1317(04)75808-8
W-shaped meniscus from thin polymer
films in microchannels
Kahp Y Suh
1
, Seungwoo Chu
2
and Hong H Lee
2
1
School of Mechanical and Aerospace Engineering, Seoul National University,
Seoul 151-742, Korea
2
School of Chemical Engineering, Seoul National University, Seoul 151-742, Korea
E-mail: sky4u@snu.ac.kr
Received 9 February 2004, in final form 20 April 2004
Published 17 June 2004
Online at stacks.iop.org/JMM/14/1185
doi:10.1088/0960-1317/14/8/010
Abstract
Transient meniscus formation in microchannels reveals that a ‘W’-shaped
meniscus forms at early times for relatively large channel size and lower
annealing temperature. This phenomenon is opposed to the uniformly
curved meniscus, which has been believed to be dominant for transients.
This formation is attributed to the competition between the Laplace pressure
and viscous resistance. Conditions are given under which the W-shaped
meniscus forms, which is shown to represent the experimental data
satisfactorily. During transients, the contact angle is found to be maintained
at its equilibrium value.
1. Introduction
Meniscus formation is a classical phenomenon that is well
described by Young’s law [1, 2]. When a liquid wets a wall,
the Laplace pressure is generated due to the curved interface,
which leads to the capillary rise of the liquid. Typically, the
curvature-induced Laplace pressure is simply counterbalanced
by the gravitational force.
While capillarity has been studied extensively [3–6],
capillarity in microchannels has not received much attention in
spite of its importance in microsystems such as microanalysis
systems, which involve fluid in microchannels, and micro
sensors and devices where a fluid is used as a coolant. Much
less well known is the transient behavior of meniscus formation
in microchannels.
The conventional capillary system involves a low-
viscosity liquid such as water. The time it takes for such a
liquid to form a fully developed meniscus is so short that it
is almost next to impossible to observe a transient. When a
polymer is used, on the other hand, a sufficient time is allowed
for the observation due to its high viscosity or low mobility.
The slow dynamics afforded by the use of a polymer was the
reason for focusing our attention on the transient behavior of
the meniscus formed from a polymer.
To investigate the behavior, we used capillary force
lithography (CFL) [7], which has recently been developed
for patterning polymers on large areas. When an elastomeric
mold such as polydimethylsiloxane (PDMS) is placed on the
polymer film spin-coated onto a substrate and then heated
above the glass transition temperature (T
g
) of the polymer, the
capillary force allows the polymer melt to fill up the void space
between the mold and the polymer, thereby generating the
negative replica when the mold is removed. In the experiment,
the transients of the filling of the void channels in PDMS mold
are investigated.
2. Experimental section
We fabricated a PDMS (Sylgard 184, Dow Corning) mold that
has void microchannels by casting PDMS against a master
prepared by conventional photolithography. The master has
protruding lines varying in width from 1 to 10 µm with an
interval of 0.5 µm between the lines. Therefore, the PDMS
mold has void channels with a width varying from 1 to
10 µm. Commercial polystyrene (PS) (M
w
= 1.4 × 10
5
,
T
g
= 100
◦
C) was used as purchased from Aldrich. Silicon
wafer that was used as the substrate was cleaned by ultrasonic
treatment in trichloroethylene and methanol for 5 min each
and dried in nitrogen. Native oxide was not removed from
the surface of the wafer and thus would exist on the surface.
PS films were spin-coated onto the substrate under conditions
(5 wt%, 3000 rpm for 35 s) that would lead to a thickness larger
than 300 nm so as to exclude substrate effects. When the film
thickness is less than 100 nm, intermolecular forces [8–10]
0960-1317/04/081185+05$30.00 © 2004 IOP Publishing Ltd Printed in the UK 1185