Further studies of fully developed flow through ducts of arbitrary section by the contour line-conformal mapping technique
The paper discusses fully developed flow of viscous fluid through ducts of arbitrary cross-section. The method uses a constant velocity contour line in a typical cross-section of the duch as an independent variable. The amplitude of the oscillatory velocity is then obtained from an ordinary integro-...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1997-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171297001075 |
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| _version_ | 1832558754766258176 |
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| author | J. Mazumdar D. Hopkins |
| author_facet | J. Mazumdar D. Hopkins |
| author_sort | J. Mazumdar |
| collection | DOAJ |
| description | The paper discusses fully developed flow of viscous fluid through ducts of arbitrary
cross-section. The method uses a constant velocity contour line in a typical cross-section of the duch
as an independent variable. The amplitude of the oscillatory velocity is then obtained from an ordinary
integro-differential equation. Several examples of a practical nature are given, with some that have not
yet been discussed in the literature. All details are explained by graphs. |
| format | Article |
| id | doaj-art-ca1d11bea6a24d54ba60a9806da85a50 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1997-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ca1d11bea6a24d54ba60a9806da85a502025-02-03T01:31:44ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251997-01-0120478379710.1155/S0161171297001075Further studies of fully developed flow through ducts of arbitrary section by the contour line-conformal mapping techniqueJ. Mazumdar0D. Hopkins1Department of Applied Mathematics, University of Adelaide, 5005, AustraliaDepartment of Applied Mathematics, University of Adelaide, 5005, AustraliaThe paper discusses fully developed flow of viscous fluid through ducts of arbitrary cross-section. The method uses a constant velocity contour line in a typical cross-section of the duch as an independent variable. The amplitude of the oscillatory velocity is then obtained from an ordinary integro-differential equation. Several examples of a practical nature are given, with some that have not yet been discussed in the literature. All details are explained by graphs.http://dx.doi.org/10.1155/S0161171297001075duct flowviscous fluidsvelocity contoursconformal mappings. |
| spellingShingle | J. Mazumdar D. Hopkins Further studies of fully developed flow through ducts of arbitrary section by the contour line-conformal mapping technique International Journal of Mathematics and Mathematical Sciences duct flow viscous fluids velocity contours conformal mappings. |
| title | Further studies of fully developed flow through ducts of arbitrary section by the contour line-conformal mapping technique |
| title_full | Further studies of fully developed flow through ducts of arbitrary section by the contour line-conformal mapping technique |
| title_fullStr | Further studies of fully developed flow through ducts of arbitrary section by the contour line-conformal mapping technique |
| title_full_unstemmed | Further studies of fully developed flow through ducts of arbitrary section by the contour line-conformal mapping technique |
| title_short | Further studies of fully developed flow through ducts of arbitrary section by the contour line-conformal mapping technique |
| title_sort | further studies of fully developed flow through ducts of arbitrary section by the contour line conformal mapping technique |
| topic | duct flow viscous fluids velocity contours conformal mappings. |
| url | http://dx.doi.org/10.1155/S0161171297001075 |
| work_keys_str_mv | AT jmazumdar furtherstudiesoffullydevelopedflowthroughductsofarbitrarysectionbythecontourlineconformalmappingtechnique AT dhopkins furtherstudiesoffullydevelopedflowthroughductsofarbitrarysectionbythecontourlineconformalmappingtechnique |