Stoke's second problem with wall suction or blowing for UCM fluids

• Type: Article in International Scientific Journal
• Date: 2009

Authors

D. O. A. Cruz (Author) FEUP; F. T. Pinho (Author) FEUP

Journal

Title: Journal of Non-Newtonian Fluid Mechanics

Vol. 157 No. 1-2

Pages: 66-78

ISSN: 0377-0257

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 3 Citations

ISI Web of Science

Scopus - 4 Citations

COMPENDEX

INSPEC

Scientific classification

FOS: Engineering and technology > Mechanical engineering

Other information

Authenticus ID: P-003-MY1

DOI: 10.1016/j.jnnfm.2008.09.006

Abstract (EN): An analytical solution is derived for the time-dependent flow of an infinite pool of fluid described by the viscoelastic upper convected Maxwell (UCM) model driven by an oscillating porous plate in the presence of cross flow. Whereas for a Newtonian fluid there is a solution regardless of the amount of suction or blowing, for viscoelastic fluids the solution breaks down under certain conditions. When the suction velocity exceeds the elastic shear wave speed there is no solution. For sub-critical blowing through the plate the stream-wise velocity profiles are periodic, but when the blowing speed exceeds the elastic shear wave speed non-periodic chaotic-like waves appear under certain conditions, which are characterized. The flow characteristics are properly scaled by the reciprocal square root of the Reynolds number with and without cross flow. Generally speaking, the flow properties are controlled by the cross flow and by the fluid elasticity at low and high Deborah numbers, respectively.

Language: English

Type (Professor's evaluation): Scientific