Journal of Non-Newtonian Fluid Mechanics, Vol.210, 41-46, 2014
Time-Weissenberg number superposition in planar contraction microchannel flows
The flow of viscoelastic fluids in a micro-fabricated 4:1 planar contraction channel was studied through flow visualization. As the Weissenberg number (Wi) increased, the flow developed from a Newtonian-like to vortex growth, and the transient start-up flow at high Wi was found to experience all the steady patterns at lower Wi flows. The flow sequence was different depending on the fluids and channel dimensions, however, in all the cases we could reach, the steady patterns at a low Wi flow could be matched 1:1 with the transient patterns at a high Wi flow. The plot of Wi and time when the two sets (transient and steady) were matched showed a clear functional relationship, from which the time-Weissenberg number superposition could be confirmed. (C) 2014 Elsevier B.V. All rights reserved.