Hydrodynamic resistance and diffusion coefficients of a freely hinged rod

✍ Scribed by William A. Wegener

• Book ID: 102765091
• Publisher: Wiley (John Wiley & Sons)
• Year: 1980
• Tongue: English
• Weight: 515 KB
• Volume: 19
• Category: Article
• ISSN: 0006-3525
• DOI: 10.1002/bip.1980.360191016

✦ Synopsis

Abstract

The seven‐dimensional hydrodynamic resistance and diffusion tensors are evaluated for a rod which is freely hinged at its center and immersed in a viscous fluid. The hydrodynamic resistance tensor is first determined at the hinge, then transformed to other points and inverted to obtain the diffusion tensor. Hydrodynamic interactions between rod halves are neglected, which is asymptotically correct for long rods. In the long‐rod limit, the diffusion coefficient characterizing translations over macroscopic distances is decreased by 3–6% from that for a rigid straight rod of same total length, while the average end‐over‐end rotational diffusion coefficient for each rod half is increased 4.67 times.