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An analytic solution of steady Stokes flow on a rotating polar cap
| Title: | An analytic solution of steady Stokes flow on a rotating polar cap |
| Authors: | Kitauchi, Hideaki Browse this author | | Ikeda, Motoyoshi Browse this author |
| Keywords: | Analytic solution | | Stationary | | Stokes flow | | Rotation | | Polar cap |
| Issue Date: | Aug-2009 |
| Publisher: | IOP Publishing |
| Journal Title: | Fluid Dynamics Research |
| Volume: | 41 |
| Issue: | 4 |
| Start Page: | 045505 |
| Publisher DOI: | 10.1088/0169-5983/41/4/045505 |
| Abstract: | An analytic solution of two-dimensional, steady, linear, viscous flow on a polar cap-polar region of a sphere that lies above (or below) a given plane normal to the rotation axis-rotating about its center is obtained. Inflow and outflow on the boundary of the polar cap drive the fluid motion. The solution of the stream function is expressed as the Fourier series in longitudes and the associated Legendre functions of complex degrees in cosines of colatitudes. The fluid particles move almost along lines of constant latitude, some circulate cyclonically and the others anticyclonically, in the geostrophic balance everywhere except near the north pole where the flow is relatively slow and the viscous force dominates over the Coriolis force. Our results support the approximation analysis and laboratory experiment studied by Imawaki and Takano (Deep-Sea Res. 21, 69-77, 1974). |
| Rights: | This is an author-created, un-copyedited version of an article accepted for publication in Fluid Dynamics Research. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The definitive publisher authenticated version is available online at 10.1088/0169-5983/41/4/045505. |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/39627 |
| Appears in Collections: | 環境科学院・地球環境科学研究院 (Graduate School of Environmental Science / Faculty of Environmental Earth Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 池田 元美
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