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Viscous tubular-body theory for plane interfaces (2024)
Journal Article
Koens, L., & Walker, B. J. (2024). Viscous tubular-body theory for plane interfaces. Journal of Fluid Mechanics, 979, Article A38. https://doi.org/10.1017/jfm.2023.1085

Filaments are ubiquitous within the microscopic world, occurring in biological and industrial environments and displaying a varied dynamics. Their wide range of applications has spurred the development of a branch of asymptotics focused on the behavi... Read More about Viscous tubular-body theory for plane interfaces.

The slow viscous flow around a general rectangular doubly-periodic arrays of infinite slender cylinders (2023)
Journal Article
Koens, L., Vernekar, R., Krüger, T., Lisicki, M., & Inglis, D. W. (2023). The slow viscous flow around a general rectangular doubly-periodic arrays of infinite slender cylinders. IMA Journal of Applied Mathematics, 88(6), 869-887. https://doi.org/10.1093/imamat/hxae003

The slow viscous flow through a doubly-periodic array of cylinders does not have an analytical solution. However, as a reduced model for the flow within fibrous porous media and microfluidic arrays, this solution is important for many real-world syst... Read More about The slow viscous flow around a general rectangular doubly-periodic arrays of infinite slender cylinders.

Chemically active filaments: analysis and extensions of slender phoretic theory (2022)
Journal Article
Katsamba, P., Butler, M. D., Koens, L., & Montenegro-Johnson, T. D. (2022). Chemically active filaments: analysis and extensions of slender phoretic theory. Soft matter, 18, 7051-7063. https://doi.org/10.1039/d2sm00942k

Autophoretic microswimmers self-propel via surface interactions with a surrounding solute fuel. Chemically-active filaments are an exciting new microswimmer design that augments traditional autophoretic microswimmers, such as spherical Janus particle... Read More about Chemically active filaments: analysis and extensions of slender phoretic theory.

Tubular-body theory for viscous flows (2022)
Journal Article
Koens, L. (2022). Tubular-body theory for viscous flows. Physical Review Fluids, 7(3), Article 034101. https://doi.org/10.1103/PhysRevFluids.7.034101

Cable-like bodies play a key role in many interdisciplinary systems but are hard to simulate. Asymptotic theories, called slender-body theories, are effective but apply in specific regimes and can be hard to extend beyond leading order. In this lette... Read More about Tubular-body theory for viscous flows.

Jet-driven viscous locomotion of confined thermoresponsive microgels (2022)
Journal Article
Tanasijević, I., Jung, O., Koens, L., Mourran, A., & Lauga, E. (2022). Jet-driven viscous locomotion of confined thermoresponsive microgels. Applied physics letters, 120(10), Article 104101. https://doi.org/10.1063/5.0076244

We consider the dynamics of micro-sized, asymmetrically coated thermoresponsive hydrogel ribbons (microgels) under periodic heating and cooling in the confined space between two planar surfaces. As the result of the temperature changes, the volume an... Read More about Jet-driven viscous locomotion of confined thermoresponsive microgels.

Order and information in the patterns of spinning magnetic micro-disks at the air-water interface (2022)
Journal Article
Wang, W., Gardi, G., Malgaretti, P., Kishore, V., Koens, L., Son, D., Gilbert, H., Wu, Z., Harwani, P., Lauga, E., Holm, C., & Sitti, M. (2022). Order and information in the patterns of spinning magnetic micro-disks at the air-water interface. Science Advances, 8(2), Article eabk0685. https://doi.org/10.1126/sciadv.abk0685

The application of the Shannon entropy to study the relationship between information and structures has yielded insights into molecular and material systems. However, the difficulty in directly observing and manipulating atoms and molecules hampers t... Read More about Order and information in the patterns of spinning magnetic micro-disks at the air-water interface.

Regularized Stokeslets lines suitable for slender bodies in viscous flow (2021)
Journal Article
Zhao, B., & Koens, L. (2021). Regularized Stokeslets lines suitable for slender bodies in viscous flow. Fluids, 6(9), Article 335. https://doi.org/10.3390/fluids6090335

Slender-body approximations have been successfully used to explain many phenomena in low-Reynolds number fluid mechanics. These approximations typically use a line of singularity solutions to represent flow. These singularities can be difficult to im... Read More about Regularized Stokeslets lines suitable for slender bodies in viscous flow.

Local drag of a slender rod parallel to a plane wall in a viscous fluid (2021)
Journal Article
Koens, L., & Montenegro-Johnson, T. D. (2021). Local drag of a slender rod parallel to a plane wall in a viscous fluid. Physical Review Fluids, 6(6), Article 064101. https://doi.org/10.1103/PhysRevFluids.6.064101

The viscous drag on a slender rod by a wall is important to many biological and industrial systems. This drag critically depends on the separation between the rod and the wall and can be approximated asymptotically in specific regimes, namely far fro... Read More about Local drag of a slender rod parallel to a plane wall in a viscous fluid.

Geometric phase methods with Stokes theorem for a general viscous swimmer (2021)
Journal Article
Koens, L., & Lauga, E. (2021). Geometric phase methods with Stokes theorem for a general viscous swimmer. Journal of Fluid Mechanics, 916, Article A17. https://doi.org/10.1017/jfm.2021.181

The geometric phase techniques for swimming in viscous flows express the net displacement of a swimmer as a path integral of a field in configuration space. This representation can be transformed into an area integral for simple swimmers using the St... Read More about Geometric phase methods with Stokes theorem for a general viscous swimmer.

A note on the Stokes phenomenon in flow under an elastic sheet: Stokes Phenomenon in flow under a sheet (2020)
Journal Article
Lustri, C. J., Koens, L., & Pethiyagoda, R. (2020). A note on the Stokes phenomenon in flow under an elastic sheet: Stokes Phenomenon in flow under a sheet. Philosophical transactions. Series A, Mathematical, physical, and engineering sciences, 378(2179), Article 20190530. https://doi.org/10.1098/rsta.2019.0530

The Stokes phenomenon is a class of asymptotic behaviour that was first discovered by Stokes in his study of the Airy function. It has since been shown that the Stokes phenomenon plays a significant role in the behaviour of surface waves on flows pas... Read More about A note on the Stokes phenomenon in flow under an elastic sheet: Stokes Phenomenon in flow under a sheet.