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

abstract

• The velocity field and the adequate tangential stress that is induced by the flow due to a constantly accelerating plate in an Oldroyd-B fluid, are determined by means of Fourier sine transforms. The solutions corresponding to a Maxwell, Second grade and Navier-Stokes fluid appear as limiting cases of the solutions obtained here. However, in marked contrast to the solution for a Navier-Stokes fluid, in the case of an Oldroyd-B fluid oscillations are set up which decay exponentially with time. 2005 Elsevier Inc. All rights reserved.

authors

• Rajagopal, Kumbakonam

published proceedings

• APPLIED MATHEMATICAL MODELLING

author list (cited authors)

• Fetecau, C., Prasad, S. C., & Rajagopal, K. R.

citation count

• 87

complete list of authors

• Fetecau, C||Prasad, Sharat C||Rajagopal, KR

publication date

• April 2007

publisher

• Elsevier  Publisher

published in

• Applied Mathematical Modelling  Journal

keywords

• Constantly Accelerating Plate
• Exact Solution
• Oldroyd-b Fluid

Digital Object Identifier (DOI)

• 10.1016/j.apm.2005.11.032

start page

• 647

end page

• 654

volume

• 31

issue

• 4

URL

• http://dx.doi.org/10.1016/j.apm.2005.11.032