%0 Journal Article %1 citeulike:3890049 %A Liron, N. %A Blake, J. R. %D 1981 %J Journal of Fluid Mechanics Digital Archive %K 76d07-stokes-and-related-oseen-etc-flows %N -1 %P 109--129 %R 10.1017/s0022112081001699 %T Existence of viscous eddies near boundaries %U http://dx.doi.org/10.1017/s0022112081001699 %V 107 %X Kinematic and dynamic conditions for the existence, or otherwise, of viscous eddies due to point, ring or a line distribution of stokeslets near no-slip boundaries are investigated. Boundaries considered are (i) a single plane boundary, (ii) two parallel plane boundaries, (iii) an infinite cylinder, and (iv) a finite cylinder. It is found that the following constraints on the fluid lead to the existence of eddies (i) a zero flux condition, (ii) confinement due to boundaries, (iii) streamline convergence near the singularity, and (iv) the interaction of flow fields due to adjacent stokeslets. The existence or non-existence of various viscous eddies is illustrated and discussed in detail for the case of infinite line distributions of stokeslets (i.e. a two-dimensional stokeslet). The paper suggests that flow fields produced by sessile micro-organisms are determined primarily by the container geometry in which they are located.

@article{citeulike:3890049, abstract = {{Kinematic and dynamic conditions for the existence, or otherwise, of viscous eddies due to point, ring or a line distribution of stokeslets near no-slip boundaries are investigated. Boundaries considered are (i) a single plane boundary, (ii) two parallel plane boundaries, (iii) an infinite cylinder, and (iv) a finite cylinder. It is found that the following constraints on the fluid lead to the existence of eddies (i) a zero flux condition, (ii) confinement due to boundaries, (iii) streamline convergence near the singularity, and (iv) the interaction of flow fields due to adjacent stokeslets. The existence or non-existence of various viscous eddies is illustrated and discussed in detail for the case of infinite line distributions of stokeslets (i.e. a two-dimensional stokeslet). The paper suggests that flow fields produced by sessile micro-organisms are determined primarily by the container geometry in which they are located.}}, added-at = {2017-06-29T07:13:07.000+0200}, author = {Liron, N. and Blake, J. R.}, biburl = {https://www.bibsonomy.org/bibtex/2fc43dab70eedeb78df2c8c4b75b7dc80/gdmcbain}, citeulike-article-id = {3890049}, citeulike-linkout-0 = {http://journals.cambridge.org/action/displayAbstract?fromPage=online\&aid=388998}, citeulike-linkout-1 = {http://dx.doi.org/10.1017/s0022112081001699}, comment = {(private-note)Cited by Pozrikidis (1992, pp. 94, 252)}, doi = {10.1017/s0022112081001699}, interhash = {e941010b104332c347d14273a59f9672}, intrahash = {fc43dab70eedeb78df2c8c4b75b7dc80}, journal = {Journal of Fluid Mechanics Digital Archive}, keywords = {76d07-stokes-and-related-oseen-etc-flows}, number = {-1}, pages = {109--129}, posted-at = {2009-01-16 03:12:51}, priority = {2}, timestamp = {2017-06-29T07:13:07.000+0200}, title = {{Existence of viscous eddies near boundaries}}, url = {http://dx.doi.org/10.1017/s0022112081001699}, volume = 107, year = 1981 }