Oseen's correction to stokes drag on axially symmetric arbitrary particle in transverse flow: A new approach
In this paper, Oseen’s correction to Stokes drag experienced by axially symmetric particle placed in a uniform stream perpendicular to axis of symmetry(i.e. transverse flow) is obtained. For this, the linear relationship between axial and transverse Stokes drag is utilized to extend the Bre...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade
2014-01-01
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| Series: | Theoretical and Applied Mechanics |
| Subjects: | |
| Online Access: | http://www.doiserbia.nb.rs/img/doi/1450-5584/2014/1450-55841403177S.pdf |
| _version_ | 1819200206733836288 |
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| author | Srivastava Deepak Kumar Srivastava Nirmal |
| author_facet | Srivastava Deepak Kumar Srivastava Nirmal |
| author_sort | Srivastava Deepak Kumar |
| collection | DOAJ |
| description | In this paper, Oseen’s correction to Stokes drag experienced by axially
symmetric particle placed in a uniform stream perpendicular to axis of
symmetry(i.e. transverse flow) is obtained. For this, the linear relationship
between axial and transverse Stokes drag is utilized to extend the Brenner’s
formula for axial flow to transverse flow. General expression of Oseen’s
correction to Stokes drag on axially symmetric particle placed in transverse
flow is found to be new. This general expression is applied to some known
axially symmetric bodies and obtained values of Oseen’s drag, up to first
order terms in Reynolds number ‘R’, are also claimed to be new and never
exist in the literature. Numerical values of Oseen drag are also evaluated
and their variations with respect to Reynolds number, eccentricity and
deformation parameter are depicted in figures and compared with some known
values. Some important applications are also highlighted. |
| first_indexed | 2024-12-23T03:28:33Z |
| format | Article |
| id | doaj.art-1fb68f4ccd9c45d4a4eaab73c40ccb07 |
| institution | Directory Open Access Journal |
| issn | 1450-5584 |
| language | English |
| last_indexed | 2024-12-23T03:28:33Z |
| publishDate | 2014-01-01 |
| publisher | Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade |
| record_format | Article |
| series | Theoretical and Applied Mechanics |
| spelling | doaj.art-1fb68f4ccd9c45d4a4eaab73c40ccb072022-12-21T18:01:46ZengSerbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, BelgradeTheoretical and Applied Mechanics1450-55842014-01-0141317721210.2298/TAM1403177S1450-55841403177SOseen's correction to stokes drag on axially symmetric arbitrary particle in transverse flow: A new approachSrivastava Deepak Kumar0Srivastava Nirmal1B.S.N.V. Post Graduate College(University of Lucknow, Lucknow), Department of Mathematics, Station Road, Charbagh, Lucknow, IndianemaIn this paper, Oseen’s correction to Stokes drag experienced by axially symmetric particle placed in a uniform stream perpendicular to axis of symmetry(i.e. transverse flow) is obtained. For this, the linear relationship between axial and transverse Stokes drag is utilized to extend the Brenner’s formula for axial flow to transverse flow. General expression of Oseen’s correction to Stokes drag on axially symmetric particle placed in transverse flow is found to be new. This general expression is applied to some known axially symmetric bodies and obtained values of Oseen’s drag, up to first order terms in Reynolds number ‘R’, are also claimed to be new and never exist in the literature. Numerical values of Oseen drag are also evaluated and their variations with respect to Reynolds number, eccentricity and deformation parameter are depicted in figures and compared with some known values. Some important applications are also highlighted.http://www.doiserbia.nb.rs/img/doi/1450-5584/2014/1450-55841403177S.pdfstokes dragOseen’s dragaxially symmetric bodyOseen’s flowtransverse flow |
| spellingShingle | Srivastava Deepak Kumar Srivastava Nirmal Oseen's correction to stokes drag on axially symmetric arbitrary particle in transverse flow: A new approach Theoretical and Applied Mechanics stokes drag Oseen’s drag axially symmetric body Oseen’s flow transverse flow |
| title | Oseen's correction to stokes drag on axially symmetric arbitrary particle in transverse flow: A new approach |
| title_full | Oseen's correction to stokes drag on axially symmetric arbitrary particle in transverse flow: A new approach |
| title_fullStr | Oseen's correction to stokes drag on axially symmetric arbitrary particle in transverse flow: A new approach |
| title_full_unstemmed | Oseen's correction to stokes drag on axially symmetric arbitrary particle in transverse flow: A new approach |
| title_short | Oseen's correction to stokes drag on axially symmetric arbitrary particle in transverse flow: A new approach |
| title_sort | oseen s correction to stokes drag on axially symmetric arbitrary particle in transverse flow a new approach |
| topic | stokes drag Oseen’s drag axially symmetric body Oseen’s flow transverse flow |
| url | http://www.doiserbia.nb.rs/img/doi/1450-5584/2014/1450-55841403177S.pdf |
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