Theoretical Justification and Error Analysis for Slender Body Theory with Free Ends

  title={Theoretical Justification and Error Analysis for Slender Body Theory with Free Ends},
  author={Yoichiro Mori and Laurel Ohm and Daniel Spirn},
  journal={Archive for Rational Mechanics and Analysis},
Slender body theory is a commonly used approximation in computational models of thin fibers in viscous fluids, especially in simulating the motion of cilia or flagella in swimming microorganisms. In Mori et al. (Commun Pure Appl Math, 2018. arXiv:1807.00178 ), we developed a PDE framework for analyzing the error introduced by the slender body approximation for closed-loop fibers with constant radius $$\varepsilon $$ ε , and showed that the difference between our closed-loop PDE solution and the… 

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The motion of long slender bodies in a viscous fluid Part 1. General theory

  • R. G. Cox
  • Engineering
    Journal of Fluid Mechanics
  • 1970
A solid long slender body is considered placed in a fluid undergoing a given undisturbed flow. Under conditions in which fluid inertia is negligible, the force per unit length on the body is obtained