Skip to Content
Merck

Swimming by reciprocal motion at low Reynolds number.

Nature communications (2014-11-05)
Tian Qiu, Tung-Chun Lee, Andrew G Mark, Konstantin I Morozov, Raphael Münster, Otto Mierka, Stefan Turek, Alexander M Leshansky, Peer Fischer
ABSTRACT

Biological microorganisms swim with flagella and cilia that execute nonreciprocal motions for low Reynolds number (Re) propulsion in viscous fluids. This symmetry requirement is a consequence of Purcell's scallop theorem, which complicates the actuation scheme needed by microswimmers. However, most biomedically important fluids are non-Newtonian where the scallop theorem no longer holds. It should therefore be possible to realize a microswimmer that moves with reciprocal periodic body-shape changes in non-Newtonian fluids. Here we report a symmetric 'micro-scallop', a single-hinge microswimmer that can propel in shear thickening and shear thinning (non-Newtonian) fluids by reciprocal motion at low Re. Excellent agreement between our measurements and both numerical and analytical theoretical predictions indicates that the net propulsion is caused by modulation of the fluid viscosity upon varying the shear rate. This reciprocal swimming mechanism opens new possibilities in designing biomedical microdevices that can propel by a simple actuation scheme in non-Newtonian biological fluids.

MATERIALS
Product Number
Brand
Product Description

Neodymium, rod, 100mm, diameter 6.35mm, cast, 99%
Sigma-Aldrich
Glycerol solution, puriss., meets analytical specification of Ph. Eur., BP, 84-88%
Sigma-Aldrich
Glycerol solution, 83.5-89.5% (T)
Sigma-Aldrich
Neodymium, powder, −40 mesh, ≥99% trace rare earth metals basis
Neodymium, rod, 50mm, diameter 6.35mm, cast, 99%
Neodymium, rod, 50mm, diameter 12.5mm, cast, 99%
Neodymium, rod, 100mm, diameter 12.5mm, cast, 99%
Sigma-Aldrich
Hyaluronic acid sodium salt from Streptococcus equi, bacterial glycosaminoglycan polysaccharide
Sigma-Aldrich
Glycerol, FCC, FG
Sigma-Aldrich
Glycerol, BioUltra, for molecular biology, anhydrous, ≥99.5% (GC)
Sigma-Aldrich
Glycerol, BioXtra, ≥99% (GC)
Sigma-Aldrich
Glycerol, BioReagent, suitable for cell culture, suitable for insect cell culture, suitable for electrophoresis, ≥99% (GC)
Sigma-Aldrich
Glycerol, for molecular biology, ≥99.0%
Sigma-Aldrich
Glycerin, meets USP testing specifications
Sigma-Aldrich
Glycerol, ≥99.5%
Supelco
Glycerin, Pharmaceutical Secondary Standard; Certified Reference Material
Sigma-Aldrich
Glycerol, tested according to Ph. Eur., anhydrous
Sigma-Aldrich
Glycerol, puriss., anhydrous, 99.0-101.0% (alkalimetric)
Supelco
Glycerol, analytical standard
USP
Glycerin, United States Pharmacopeia (USP) Reference Standard
Sigma-Aldrich
Glycerol, ReagentPlus®, ≥99.0% (GC)
Sigma-Aldrich
Glycerol, ACS reagent, ≥99.5%
Sigma-Aldrich
Glycerol, puriss. p.a., ACS reagent, anhydrous, dist., ≥99.5% (GC)
Sigma-Aldrich
Glycerol, Vetec, reagent grade, 99%