A note on the flow induced by a constantly accelerating edge in an Oldroyd-B fluid

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: C. Fetecau, Sharat C. Prasad
Format: Article
Language:English
Published: Hindawi Limited 2005-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS.2005.2677
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spelling doaj-04dec79a11974b47962d9d87d89869ae2020-11-25T00:03:23ZengHindawi LimitedInternational 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
collection DOAJ
language English
format Article
sources DOAJ
author C. Fetecau
Sharat C. Prasad
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
author_facet C. Fetecau
Sharat C. Prasad
author_sort C. Fetecau
title 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_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_sort note on the flow induced by a constantly accelerating edge in an oldroyd-b fluid
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2005-01-01
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.
url http://dx.doi.org/10.1155/IJMMS.2005.2677
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AT sharatcprasad anoteontheflowinducedbyaconstantlyacceleratingedgeinanoldroydbfluid
AT cfetecau noteontheflowinducedbyaconstantlyacceleratingedgeinanoldroydbfluid
AT sharatcprasad noteontheflowinducedbyaconstantlyacceleratingedgeinanoldroydbfluid
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