Gradient adjustment in an axisymmetric vortex
| dc.contributor.author | Raghunandan, Sudama, author | |
| dc.contributor.author | Schubert, Wayne H., author | |
| dc.contributor.author | Department of Atmospheric Science, Colorado State University, publisher | |
| dc.date.accessioned | 2016-07-26T13:52:27Z | |
| dc.date.available | 2016-07-26T13:52:27Z | |
| dc.date.issued | 1978 | |
| dc.description | Includes bibliographical references (page 47). | |
| dc.description | Fall 1978. | |
| dc.description.abstract | We consider gradient adjustment in an axisymmetric vortex. From an initially unbalanced state, the final adjusted state is obtained. Initially, the geopotential is flat and the velocity field is given by the Rankine vortex. (Note: To view the equation, open the pdf of the document.) We derive a system of equations governing the final adjusted state. This system of equations is solved numerically using the shooting method. We also present solutions for the geostrophic adjustment problem and compare these to the solutions for the gradient adjustment problem. In the gradient adjustment case, the results indicate that (i) the geopotential decrease at the centre is proportional to E/a. (ii) the decrease of the maximum tangential wind is dependent on E for smaller a (a is less than 1). For a greater or equal to 1, the decrease is independent of E. (iii) the stretching is proportional to E/a. (iv) the mass removed from within a given region tends to E for large r. Comparison between the solutions for the geostrophic and gradient adjustment problems shows significant differences for small a. | |
| dc.description.sponsorship | Partially sponsored by the Government of Guyana and the National Science Foundation - ATM76-09370. | |
| dc.description.sponsorship | Partially sponsored by the Government of Guyana and the National Science Foundation - ATM78-08125. | |
| dc.format.medium | reports | |
| dc.identifier.uri | http://hdl.handle.net/10217/176166 | |
| dc.language | English | |
| dc.language.iso | eng | |
| dc.publisher | Colorado State University. Libraries | |
| dc.relation | Catalog record number (MMS ID): 991023635659703361 | |
| dc.relation | QC852.C6 no.301 | |
| dc.relation.ispartof | Atmospheric Science Papers (Blue Books) | |
| dc.relation.ispartof | Atmospheric science paper, no. 301 | |
| dc.rights | Copyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright. | |
| dc.subject.lcsh | Vortex-motion | |
| dc.title | Gradient adjustment in an axisymmetric vortex | |
| dc.type | Text | |
| dcterms.rights.dpla | This Item is protected by copyright and/or related rights (https://rightsstatements.org/vocab/InC/1.0/). You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). |
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