ArticlePloS one2017
From bead to rod: Comparison of theories by measuring translational drag coefficients of micron-sized magnetic bead-chains in Stokes flow.
Article in PloS one, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 10 papers.
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Who cites it
10 citing papers in PubMed.
- Objects with three orthogonal symmetry planes: Oblique driving forces and Stokes flow motion.PloS one · 2026Article
- Control and synchronization of rapid nanoscale DNA heat engine by local heating.Science advances · 2025Article
- Cytoplasmic flow is a cell size sensor that scales anaphase.Nature cell biology · 2025Article
- Ferrofluid Droplet Chains in Thermotropic Nematic Liquid Crystals.Chemphyschem : a European journal of chemical physics and physical chemistry · 2025Article
- Dynamics of polymers in coarse-grained nematic solvents.Soft matter · 2025Article
- Article
- Water transport in reverse osmosis membranes is governed by pore flow, not a solution-diffusion mechanism.Science advances · 2023Article
- Membrane Ruffling is a Mechanosensor of Extracellular Fluid Viscosity.Nature physics · 2022Article
- Engineering a Genetically Encoded Magnetic Protein Crystal.Nano letters · 2019Article
- Three-dimensional tracking of microbeads attached to the tip of single isolated tracheal cilia beating under external load.Scientific reports · 2018Article
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Authors and funding
4 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Frictional drag force on an object in Stokes flow follows a linear relationship with the velocity of translation and a translational drag coefficient. This drag coefficient is related to the size, shape, and orientation of the object. For rod-like objects, analytical solutions of the drag coefficients have been proposed based on three rough approximations of the rod geometry, namely the bead model, ellipsoid model, and cylinder model. These theories all agree that translational drag coefficients of rod-like objects are functions of the rod length and aspect ratio, but differ among one another on the correction factor terms in the equations. By tracking the displacement of the particles through stationary fluids of calibrated viscosity in magnetic tweezers setup, we experimentally measured the drag coefficients of micron-sized beads and their bead-chain formations with chain length of 2 to 27. We verified our methodology with analytical solutions of dimers of two touching beads, and compared our measured drag coefficient values of rod-like objects with theoretical calculations. Our comparison reveals several analytical solutions that used more appropriate approximation and derived formulae that agree with our measurement better.
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