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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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |