Wetting considerations in capillary rise and imbibition in closed square tubes and open rectangular cross-section channels

The spontaneous capillary-driven filling of microchannels is important for a wide range of applications. These channels are often rectangular in cross-section, can be closed or open, and horizontal or vertically orientated. In this work, we develop the theory for capillary imbibition and rise in channels of rectangular cross-section, taking into account rigidified and non-rigidified boundary conditions for the liquid–air interfaces and the effects of surface topography assuming Wenzel or Cassie-Baxter states. We provide simple interpolation formulae for the viscous friction associated with flow through rectangular cross-section channels as a function of aspect ratio. We derive a dimensionless cross-over time, Tc, below which the exact numerical solution can be approximated by the Bousanquet solution and above which by the visco-gravitational solution. For capillary rise heights significantly below the equilibrium height, this cross-over time is Tc ≈ (3Xe/2)^(2/3) and has an associated dimensionless cross-over rise height Xc ≈ (3Xe/2)^(1/3), where Xe = 1/G is the dimensionless equilibrium rise height and G is a dimensionless form of the acceleration due to gravity. We also show from wetting considerations that for rectangular channels, fingers of a wetting liquid can be expected to imbibe in advance of the main meniscus along the corners of the channel walls. We test the theory via capillary rise experiments using polydimethylsiloxane oils of viscosity 96.0, 48.0, 19.2 and 4.8 mPa s within a range of closed square tubes and open rectangular cross-section channels with SU-8 walls. We show that the capillary rise heights can be fitted using the exact numerical solution and that these are similar to fits using the analytical visco-gravitational solution. The viscous friction contribution was found to be slightly higher than predicted by theory assuming a non-rigidified liquid–air boundary, but far below that for a rigidified boundary, which was recently reported for imbibition into horizontally mounted open microchannels. In these experiments we also observed fingers of liquid spreading along the internal edges of the channels in advance of the main body of liquid consistent with wetting expectations. We briefly discuss the implications of these observations for the design of microfluidic systems

The use of polybutene for controlling the flow of liquids in centrifugal microfluidic systems

The field of centrifugal microfluidics has evolved over the last several decades to allow implementation of complex biological and chemical assays on Lab-on-Disc (LOD) platforms. Present study describes the use of polymer polybutene for tuning hydrophobic siphons and for liquid volume definition on a centrifugal microfluidic platform. Both the siphon tuning and the volume definition steps are carried out by generating negative pressure that results from the volume expansion caused by the transfer of polybutene from a dedicated chamber into a secondary reservoir via a connecting siphon. The hydrophobic valve of the chamber that holds polybutene bursts open at specific angular velocities that depend on the height and density of the liquid column. Thus, the parameters of siphon activation can be adjusted by tuning the burst angular velocity of the valve that is driven by filling the tuning reservoir with a specific volume of polybutene. The same disc construction can be utilized to provide volume definition functionality to transfer liquids from one reservoir to another reservoir in as many fractions as there are immiscible liquids of different densities in the tuning chamber. The presented work also demonstrates the use of polybutene in sealing fluidic chambers to improve heating efficiency and to minimize evaporation during thermal cycling required for applications such as PCR amplification. Finally, the use of polybutene as a stationary liquid phase in droplet production on a spinning disc is demonstrated.close0