A note on the flow induced by a constantly accelerating edge in an Oldroyd-B fluid
Analytical expressions for the velocity field and the tangential stresses that are induced due to a constantly accelerating edge in an Oldroyd-B fluid have been established for all values of material constants. The solutions that have been obtained satisfy the governing differential equations and al...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.2677 |
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| _version_ | 1849309080384962560 |
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| author | C. Fetecau Sharat C. Prasad |
| author_facet | C. Fetecau Sharat C. Prasad |
| author_sort | C. Fetecau |
| collection | DOAJ |
| description | Analytical expressions for the velocity field and the tangential
stresses that are induced due to a constantly accelerating edge in
an Oldroyd-B fluid have been established for all values of
material constants. The solutions that have been obtained satisfy
the governing differential equations and all the imposed initial
and boundary conditions. These solutions reduce to those for the
Maxwell, second-grade, and Navier-Stokes fluid as limiting cases.
Exact solutions such as those determined here for an unsteady
problem serve a dual purpose. They have relevance to an
interesting physical problem and the solutions can also be used to
check the efficacy of the flows of such fluids in more complicated
flow domains. |
| format | Article |
| id | doaj-art-04dec79a11974b47962d9d87d89869ae |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-04dec79a11974b47962d9d87d89869ae2025-08-20T03:54:15ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005162677268810.1155/IJMMS.2005.2677A note on the flow induced by a constantly accelerating edge in an Oldroyd-B fluidC. Fetecau0Sharat C. Prasad1Department of Mathematics, University of Iasi, Iasi 6600, RomaniaDepartment of Mechanical Engineering, Texas A & M University, College Station 77843, TX, USAAnalytical expressions for the velocity field and the tangential stresses that are induced due to a constantly accelerating edge in an Oldroyd-B fluid have been established for all values of material constants. The solutions that have been obtained satisfy the governing differential equations and all the imposed initial and boundary conditions. These solutions reduce to those for the Maxwell, second-grade, and Navier-Stokes fluid as limiting cases. Exact solutions such as those determined here for an unsteady problem serve a dual purpose. They have relevance to an interesting physical problem and the solutions can also be used to check the efficacy of the flows of such fluids in more complicated flow domains.http://dx.doi.org/10.1155/IJMMS.2005.2677 |
| spellingShingle | C. Fetecau Sharat C. Prasad A note on the flow induced by a constantly accelerating edge in an Oldroyd-B fluid International Journal of Mathematics and Mathematical Sciences |
| title | A note on the flow induced by a constantly accelerating edge in an
Oldroyd-B fluid |
| title_full | A note on the flow induced by a constantly accelerating edge in an
Oldroyd-B fluid |
| title_fullStr | A note on the flow induced by a constantly accelerating edge in an
Oldroyd-B fluid |
| title_full_unstemmed | A note on the flow induced by a constantly accelerating edge in an
Oldroyd-B fluid |
| title_short | A note on the flow induced by a constantly accelerating edge in an
Oldroyd-B fluid |
| title_sort | note on the flow induced by a constantly accelerating edge in an oldroyd b fluid |
| url | http://dx.doi.org/10.1155/IJMMS.2005.2677 |
| work_keys_str_mv | AT cfetecau anoteontheflowinducedbyaconstantlyacceleratingedgeinanoldroydbfluid AT sharatcprasad anoteontheflowinducedbyaconstantlyacceleratingedgeinanoldroydbfluid AT cfetecau noteontheflowinducedbyaconstantlyacceleratingedgeinanoldroydbfluid AT sharatcprasad noteontheflowinducedbyaconstantlyacceleratingedgeinanoldroydbfluid |