2020 Virtual AIChE Annual Meeting
(159j) New Converging Channel Profile for Extensional Flows: Geometrical Construct Improves Extension Rate Uniformity
Authors
Hyperbolic converging channels, combined with methods to produce wall slip, are one approach used to produce constant extension rates in extensional rheology experiments(3-5). In this work, through a novel and simple geometric construction, we have developed a new wall profile. We show, via CFD, that this simple alteration produces an improvement in extension rate uniformity for a fluid packet passing through the channel. Depending on the comparison basis, the improvement is on the order of 15%. In addition, specific aspects of a hyperbolic geometry (e.g. start point) are rarely quantifiably justified in literature. Our construction also places a finite limit on the wall location where the target extension rate can first be achieved, a useful design insight for the experimental rheologist.
(1) Tuladhar, T. R. & Mackley, M. R. Filament stretching rheometry and break-up behaviour of low viscosity polymer solutions and inkjet fluids. Journal of Non-Newtonian Fluid Mechanics 148, 97-108, doi:10.1016/j.jnnfm.2007.04.015 (2008).
(2) Petrie, C. J. S. Extensional viscosity: A critical discussion. Journal of Non-Newtonian Fluid Mechanics 137, 15-23, doi:10.1016/j.jnnfm.2006.01.011 (2006).
(3) Macosko, C. W., Ocansey, M. A. & Winter, H. H. Steady planer extension with lubricated dies. Journal of Non-Newtonian Fluid Mechanics 11, 301-316, doi:10.1016/0377-0257(82)80037-2 (1982).
(4) Wang, J. & James, D. F. Lubricated extensional flow of viscoelastic fluids in a convergent microchannel. Journal of Rheology 55, 1103-1126, doi:10.1122/1.3613948 (2011).
(5) Williams, P. R. & Williams, R. W. On the planar extensional viscosity of mobile liquids. Journal of Non-Newtonian Fluid Mechanics 19, 53-80, doi:10.1016/0377-0257(85)87012-9 (1985).