This work develops the research into the swimming motion of three spheres that are connected by retractable arms in Stokes flow giving a forward axial motion (Elatrash et al., Comput. Fluids 266:106064, 2023). Here, we now consider the arms to be also able to rotate. A non-reciprocal cyclic motion which now also includes rotation is presented which allows the swimmer to reorientate itself to align in a chosen target direction. The arms are assumed to be able to retract to half their length. As well, the arms are assumed to be able to rotate to a new position making a right angle. Thus, there are six possible positions on the sphere that an arm can move towards and come to rest. A motion is obtained such that the swimmer is able to reorientate itself towards a target after one cycle when the swimmer returns to its original configuration.

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Reorientating a Linked Three Sphere Swimmer to a Target

  • Edmund Chadwick,
  • David Merrell,
  • Aimée Szkolar,
  • Bwebum C. Dang,
  • Rabea El Mazuzi

摘要

This work develops the research into the swimming motion of three spheres that are connected by retractable arms in Stokes flow giving a forward axial motion (Elatrash et al., Comput. Fluids 266:106064, 2023). Here, we now consider the arms to be also able to rotate. A non-reciprocal cyclic motion which now also includes rotation is presented which allows the swimmer to reorientate itself to align in a chosen target direction. The arms are assumed to be able to retract to half their length. As well, the arms are assumed to be able to rotate to a new position making a right angle. Thus, there are six possible positions on the sphere that an arm can move towards and come to rest. A motion is obtained such that the swimmer is able to reorientate itself towards a target after one cycle when the swimmer returns to its original configuration.