International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 16, Pages 2677-2688
doi:10.1155/IJMMS.2005.2677
A note on the flow induced by a constantly accelerating edge in an
Oldroyd-B fluid
1Department of Mathematics, University of Iasi, Iasi 6600, Romania
2Department of Mechanical Engineering, Texas A & M University, College Station 77843, TX, USA
Received 1 June 2005
Copyright © 2005 C. Fetecau and Sharat C. Prasad. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
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.