Flow between caoxial rotating disks: with and without externally applied magnetic field
The problem of flow of a Rivlin-Ericksen type of viscoelastic fluid is discussed when such a fluid is confined between two infinite rotating coaxial disks. The governing system of a pair of non-linear ordinary differential equation is solved by treating Reynolds number to small. The three cases disc...
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| Language: | English |
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Wiley
1981-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171281000136 |
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| author | R. K. Bhatnagar |
| author_facet | R. K. Bhatnagar |
| author_sort | R. K. Bhatnagar |
| collection | DOAJ |
| description | The problem of flow of a Rivlin-Ericksen type of viscoelastic fluid is discussed
when such a fluid is confined between two infinite rotating coaxial disks. The governing system of a pair of non-linear ordinary differential equation is solved by treating Reynolds number to small. The three cases discussed are: (I) one disks is held at rest while other rotates with a constant angular velocity, (ii) one disk rorates faster than the other but in the same sense and (iii) the disks rotate in opposite senses and with different angular velocities. The radial, tranverse and axial components of the velocity field are plotted for the above three cases for different values of the Reynolds number. The results obtained for a viscoelastic fluid are compared with those for a Newtonian fluid. The velocity field for case (i) is also computed when a magnetic field is applied in a direction perpendicular to the discs and the results are compared with the case when magnetic field is absent. Some interesting features are observed for a viscoelastic fluid. |
| format | Article |
| id | doaj-art-1612dd5e41a54aedaf25d96fe25362c7 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1981-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-1612dd5e41a54aedaf25d96fe25362c72025-02-03T06:07:28ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251981-01-014118120010.1155/S0161171281000136Flow between caoxial rotating disks: with and without externally applied magnetic fieldR. K. Bhatnagar0Instituto de Matemática, Estatĭstica e Ciência da Computação, Universidade Estadual de Campinas, Campinas 13. 100, São Paulo, BrazilThe problem of flow of a Rivlin-Ericksen type of viscoelastic fluid is discussed when such a fluid is confined between two infinite rotating coaxial disks. The governing system of a pair of non-linear ordinary differential equation is solved by treating Reynolds number to small. The three cases discussed are: (I) one disks is held at rest while other rotates with a constant angular velocity, (ii) one disk rorates faster than the other but in the same sense and (iii) the disks rotate in opposite senses and with different angular velocities. The radial, tranverse and axial components of the velocity field are plotted for the above three cases for different values of the Reynolds number. The results obtained for a viscoelastic fluid are compared with those for a Newtonian fluid. The velocity field for case (i) is also computed when a magnetic field is applied in a direction perpendicular to the discs and the results are compared with the case when magnetic field is absent. Some interesting features are observed for a viscoelastic fluid.http://dx.doi.org/10.1155/S0161171281000136viscoelastic fluidrotating systemNewtonian fluid motionperturbation solution. |
| spellingShingle | R. K. Bhatnagar Flow between caoxial rotating disks: with and without externally applied magnetic field International Journal of Mathematics and Mathematical Sciences viscoelastic fluid rotating system Newtonian fluid motion perturbation solution. |
| title | Flow between caoxial rotating disks: with and without externally applied magnetic field |
| title_full | Flow between caoxial rotating disks: with and without externally applied magnetic field |
| title_fullStr | Flow between caoxial rotating disks: with and without externally applied magnetic field |
| title_full_unstemmed | Flow between caoxial rotating disks: with and without externally applied magnetic field |
| title_short | Flow between caoxial rotating disks: with and without externally applied magnetic field |
| title_sort | flow between caoxial rotating disks with and without externally applied magnetic field |
| topic | viscoelastic fluid rotating system Newtonian fluid motion perturbation solution. |
| url | http://dx.doi.org/10.1155/S0161171281000136 |
| work_keys_str_mv | AT rkbhatnagar flowbetweencaoxialrotatingdiskswithandwithoutexternallyappliedmagneticfield |