Hydrodynamics of a twisting, bending, inextensible fiber in Stokes flow
Ondrej Maxian, Brennan Sprinkle, Charles S. Peskin, Aleksandar Donev
Abstract
In cells large and small, slender filaments are bent and twisted to promote or slow motion. In this paper, we develop a novel spectral method for fluid-immersed filaments with twist elasticity, extending our previous work on filaments with bending elasticity. Our formulation is based on using integrals of the Rotne-Prager-Yamakawa (RPY) kernel to describe the hydrodynamics, coupled with the Bishop frame to treat centerline twist. We apply our method to a spinning clamped fiber, finding a rich stability diagram that involves complex whirling motions.
Topics & Concepts
TwistSpinningElasticity (physics)Bent molecular geometryBendingPhysicsClassical mechanicsProtein filamentMechanicsTranslational motionMathematicsMaterials scienceGeometryComposite materialThermodynamicsMicro and Nano RoboticsLattice Boltzmann Simulation StudiesBlood properties and coagulation