Elasto-capillary thinning and breakup of model elastic liquids

By S. Anna, G. H. McKinley. 2001

584 citations recorded by the source corpus.

We study the elasto-capillary self-thinning and ultimate breakup of three polystyrene-based ideal elastic fluids by measuring the evolution in the filament diameter as slender viscoelastic threads neck and eventually break. We examine the dependence of the transient diameter profile and the time to breakup on the molecular weight, and compare the observations with simple theories for breakup of slender viscoelastic filaments. The evolution of the transient diameter profile predicted by a multimode FENE-P model quantitatively matches the data provided the initial stresses in the filament are taken into account. Finally, we show how the transient uniaxial extensional viscosity of a dilute polymer solution can be estimated from the evolution in the diameter of the necking filament. The resulting “apparent extensional viscosity” profiles are compared with similar results obtained from a filament stretching rheometer. Both transient profiles approach the same value for the steady state extensional viscosity, which increases with molecular weight in agreement with the Rouse–Zimm theory. The apparent discrepancy in the growth rate of the two transient curves can be quantitatively explained by examining the effective stretch rate in each configuration. Filament thinning studies and filament stretching experiments thus form complementary experiments that lead to consistent measures of the transient extensional viscosity of a given test fluid.

Subfields: Computational Mechanics, Electrical and Electronic Engineering, Surfaces, Coatings and Films

View Paper: https://www.semanticscholar.org/paper/193327841713ebaf25bd9d807660997766464638

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In Computational Mechanics

In Electrical and Electronic Engineering

In Surfaces, Coatings and Films

Citations in the corpus

How dilute are dilute solutions in extensional flows (2006, methodology): “…e s t c f m i d b i o t ifferent polymers, molar masses and concentrations in dilute to semidilute solutions Liang and Mackley 1994 ; Bazilevskii et al. 1997 ; Stelter and Brenn 2000 ; Anna nd McKinley 2001 ; Anna et al. 2001 ; Bazilevskii et al. 2001 ; Stelter et al. 2002 ; log et al. 2005 .”
Nonlinear Shear and Extensional Flow Dynamics of Wormlike Surfactant Solutions (2006, methodology): “(24) Submitted to Journal of Non-Newtonian Fluid Mechanics, Revised manuscript The parameter a in equation (23) has been introduced by Anna and McKinley [66] to correctly account for the initial deformation.”
Extensional rheology of a shear-thickening cornstarch and water suspension (2010, methodology): “The evolution of an apparent extensional viscosity with this extension rate profile can be calculated by applying a force balance between capillary stresses and the viscous and elastic tensile stresses within the fluid filament (Anna and McKinley 2001):”
Characterization of galactomannans extracted from seeds of Gleditsia triacanthos and Sophora japonica through shear and extensional rheology: Comparison with guar gum and locust bean gum (2010, methodology): “…has been utilized to determine the relaxation time for many different polymeric solutions over a range of concentrations and molecular weights (Anna & McKinley, 2001; Bazilevskii, Entov, Lerner, & Rozhkov, 1997; Bazilevsky, Entov, & Rozhkov, 1990; Entov & Hinch, 1997; Liang & Mackley, 1994;…”
Viscoelasticity in inkjet printing (2010, background): “Finite extensibility causes deviation from this law at late times as the molecules become fully stretched (Entov and Hinch 1997; Anna and McKinley 2001).”
Capillary Break-up Rheometry of Low-Viscosity Elastic Fluids (2005, methodology): “This exponential relationship between the neck radius and time has been utilized to determine the relaxation time for many different polymeric solutions over a range of concentrations and molecular weights [3, 4, 6, 7, 42] Note that although this time constant is referred to as a ‘relaxation time’ –”
The beads-on-string structure of viscoelastic threads (2003, methodology): “In fact, the initial stretching is well-described by a simple model neglecting any spatial structure (Anna & McKinley 2001).”