Saffman, P. G. (1976) Brownian motion in thin sheets of viscous fluid. Journal of Fluid Mechanics, 73 (4). pp. 593-602. ISSN 0022-1120. doi:10.1017/S0022112076001511. https://resolver.caltech.edu/CaltechAUTHORS:SAFjfm76
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Abstract
The drag on a cylindrical particle moving in a thin sheet of viscous fluid is calculated. It is supposed that the sheet is embedded in fluid of much lower viscosity. A finite steady drag is obtained, which depends logarithmically on the ratio of the viscosities. The Einstein relation is used to determine the diffusion coefficient for Brownian motion of the particle, with application to the movement of molecules in biological membranes. In addition, the Brownian motion is calculated using the Langevin equation, and a logarithmically time-dependent diffusivity is obtained for the case when the embedding fluid has zero viscosity.
| Item Type: | Article | ||||||
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| Additional Information: | © 1976 Cambridge University Press. Reprinted with permission. (Received 2 September 1976) This work was supported by the National Science Foundation, Grant ENG 74-00124. | ||||||
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| Issue or Number: | 4 | ||||||
| DOI: | 10.1017/S0022112076001511 | ||||||
| Record Number: | CaltechAUTHORS:SAFjfm76 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:SAFjfm76 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 10129 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Archive Administrator | ||||||
| Deposited On: | 14 Apr 2008 | ||||||
| Last Modified: | 08 Nov 2021 21:05 |
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