Resistance Functions for Two Spheres in Axisymmetric Flow—Part I: Stream Function Theory
We consider low-Reynolds-number axisymmetric flow about two spheres using a novel, biharmonic stream function. This enables us to calculate analytically not only the forces, but also the dipole moments (stresslets and pressure moments) and the associated resistance functions. In this paper the basic...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2011/318907 |
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| _version_ | 1832566939623358464 |
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| author | Thanaa El Naqeeb Rudi Schmitz |
| author_facet | Thanaa El Naqeeb Rudi Schmitz |
| author_sort | Thanaa El Naqeeb |
| collection | DOAJ |
| description | We consider low-Reynolds-number axisymmetric flow about two spheres using a novel, biharmonic stream function. This enables us to calculate analytically not only the forces, but also the dipole moments (stresslets and pressure moments) and the associated resistance functions. In this paper the basics properties of axisymmetric flow and the stream function are discussed. Explicit series expansions, obtained by separation in bispherical coordinates, will be presented in a follow-up paper. |
| format | Article |
| id | doaj-art-3b7c5cbe16d847cbbfbf9349cadf344e |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-3b7c5cbe16d847cbbfbf9349cadf344e2025-02-03T01:02:42ZengWileyJournal of Applied Mathematics1110-757X1687-00422011-01-01201110.1155/2011/318907318907Resistance Functions for Two Spheres in Axisymmetric Flow—Part I: Stream Function TheoryThanaa El Naqeeb0Rudi Schmitz1Institute for Theoretical Physics C, RWTH Aachen University, 52056 Aachen, GermanyInstitute for Theoretical Physics C, RWTH Aachen University, 52056 Aachen, GermanyWe consider low-Reynolds-number axisymmetric flow about two spheres using a novel, biharmonic stream function. This enables us to calculate analytically not only the forces, but also the dipole moments (stresslets and pressure moments) and the associated resistance functions. In this paper the basics properties of axisymmetric flow and the stream function are discussed. Explicit series expansions, obtained by separation in bispherical coordinates, will be presented in a follow-up paper.http://dx.doi.org/10.1155/2011/318907 |
| spellingShingle | Thanaa El Naqeeb Rudi Schmitz Resistance Functions for Two Spheres in Axisymmetric Flow—Part I: Stream Function Theory Journal of Applied Mathematics |
| title | Resistance Functions for Two Spheres in Axisymmetric Flow—Part I: Stream Function Theory |
| title_full | Resistance Functions for Two Spheres in Axisymmetric Flow—Part I: Stream Function Theory |
| title_fullStr | Resistance Functions for Two Spheres in Axisymmetric Flow—Part I: Stream Function Theory |
| title_full_unstemmed | Resistance Functions for Two Spheres in Axisymmetric Flow—Part I: Stream Function Theory |
| title_short | Resistance Functions for Two Spheres in Axisymmetric Flow—Part I: Stream Function Theory |
| title_sort | resistance functions for two spheres in axisymmetric flow part i stream function theory |
| url | http://dx.doi.org/10.1155/2011/318907 |
| work_keys_str_mv | AT thanaaelnaqeeb resistancefunctionsfortwospheresinaxisymmetricflowpartistreamfunctiontheory AT rudischmitz resistancefunctionsfortwospheresinaxisymmetricflowpartistreamfunctiontheory |