SIMULATION OF PLANAR WAVE FLAGELLAR PROPULSION OF NANOROBOTS USING COMSOL Nikhil Londhe 1 , R. Majumdar 1 , J.S. Rathore 1 , N.N. Sharma 1 1.Department of Mechanical Engineering Birla Institute of Technology and Science, Pilani 333031, India Presented by Rwitajit Majumdar at the 2011 COMSOL Conference
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SIMULATION OF PLANAR WAVE FLAGELLAR
PROPULSION OF NANOROBOTS USING COMSOL
Nikhil Londhe1, R. Majumdar1, J.S. Rathore1, N.N. Sharma1 1.Department of Mechanical Engineering
Birla Institute of Technology and Science, Pilani 333031, India
Presented by Rwitajit Majumdar at the 2011 COMSOL Conference
Typical µorganism
Cell body Flagella
Fig1: Schematics of a micro organism
Spectrum of flagellated motion
Review by Eric Lauga and Thomas R. Powers The hydrodynamics of swimming microorganisms - 2008
Background
• Sir James Gray – Resistive Force theory
• 1955
• Dr. K. E. Machin – Elasto-hydrodynamics
• 1958
Elemental Modeling
Fig 3: FBD of the tail element
Governing Equation
Euler-Bernoulli beam equation Drag coefficient
Transverse velocity
Algorithm to solution Governing fourth order equation