期刊名称:International Journal of Mathematics and Mathematical Sciences
印刷版ISSN:0161-1712
电子版ISSN:1687-0425
出版年度:2005
卷号:2005
DOI:10.1155/IJMMS.2005.2677
出版社:Hindawi Publishing Corporation
摘要: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.