1. IFM Cambridge December 2013Fast Filament Stretching, Thinning and Breakup ByMalcolm Mackley, Simon Butler, Damien Vadillo, Tri Tuladhar, Stephen Hoath and Stewart HuxleyDepartment of Chemical Engineering and Biotechnology University of Cambridge Cambridge, CB2 3RA, UK.1

2. Tri Tuladhar XaarSteve Hoath Cam IFMStewart Huxley Huxley BertramDamien Vadillo AkzoSimon Butler 2 Chem Eng Cam 3. MRM last BSR Presentation London 2011This could be the last time, this could be the last time, maybe the last time, I dont know. 4. Slow Filament Stretching On the coefficient of viscous traction and its relation to that of viscosity Fred Trouton Proc. R. Soc. Lond. A 1906 strain rate matrix 0 ii + P = 2 ii 0 0 02 00 2The Trouton Ratio 11 + P = 2 22 + P = - 2 11 - 22e 2 = 3 = e = 3 4 5. M1 Fluid Extensional viscosity muddleDavid James and Ken Walters, A.A. Collyer (Ed.), Techniques of Rheological Measurement, Elsevier,NewYork, 1994, pp. 3353.Chris. Petrie Extensional viscosity: A critical discussion J. Non-Newtonian Fluid Mech. 137 (2006) 15235 6. Filament thinning Newtonian modelling zz P 2 zz0 rr P 2 rr 2 / D D E zz rr 3 2 / DMass BalanceD 1 D2PD (t ) D 0 3t 6 7. Filament thinning D (t ) D 0 3t7 8. Filament thinning A.V.Bazilevsky, V.M. Entov and A.N.Rozhkov 3rd European Rheology Conference 1990 Ed D.R.OliverThe Russian RheotesterCAzz B ETop plate15 cmDBottom plate8rr 9. Liang and Mackley (1994) Extensional RheotesterS1 fluidPIB solutionsD (t ) D 0 3t 9R. Liang and M.R. Mackley. Journal of Non-Newtonian Fluid Mech. 52, 387-405 (1994). 10. Liang and Mackley (1994)- Viscoelastic fluids S1 fluidFirst approximation 1 D ( t ) D 0 exp 3 R t Viscoelastic modelling (John Hinch)PIB solutionsD / D g / 3 g D(t) D 0 exp 3 t 10 11. Multipass Rheometer (MPR) Filament Stretch Rheometer The MK1 Cambridge Trimaster VpDR(z,t)Top PistonRmid(t)LfL0 Bottom PistonVp (a) Test fluid positioned between two pistons.(b) Test fluid stretched uniaxially (c) Filament thinning and break up occurrence after pistons has stopped. at a uniform velocity. t0 t