The nonlinear rheology of three selected commercial low-density polyethylenes (LDPE) is measured in uniaxial extensional flow. The measurements are performed using three different devices including an extensional viscosity fixture (EVF), a home made filament stretching rheometer (DTU-FSR) and a commercial filament stretching rheometer (VADER-1000). We show that the measurements from the EVF are limited by a maximum Hencky strain of 4, while the two filament stretching rheometers are able to probe the nonlinear behavior at larger Hencky strain values where the steady state is reached. With the capability of the filament stretching rheometers, we show that LDPEs with quite different linear viscoelastic properties can have very similar steady extensional viscosity. This points to the potential for independently controlling shear and extensional rheology in certain rate ranges.
Abstract:The paper addresses techniques for checking the performance of rotational rheometers with coneplate, plate-plate, or concentric cylinder geometry. We focus on the determination of the viscosity as a function of the shear rate and of the magnitude of the complex viscosity as a function of the angular frequency. After summarizing the relevant definitions and test modes, we show examples of measurements in the linear viscoelastic range, and applications of the Cox-Merz relationship. Sources of reference fluids with defined viscosities are presented, and their use in tests for verification of accuracy is demonstrated. Relevant issues, predominantly for Newtonian reference liquids, are the exploration of measurement limits, related either to the shear rate range or to reliably accessible viscosity levels. Viscoelastic reference samples are also discussed. Prerequisites for sample preparation and loading are addressed. In particular, we present recommendations based on experience from various laboratories. Finally, we discuss the problem of temperature calibration, presenting techniques that allow the determination of the true sample temperature for a given set temperature of the rheometer. This paper summarizes contributions from various industrial and academic laboratories.
The effect of pressure on the viscosity of polymer melts is an often forgotten parameter due to the inherent difficulty to measure this quantity. Different experimental approaches have already been undertaken in literature in the past. Apopular methodology to measure the pressure dependence of the viscosity is to use ac apillary rheometer equipped with a counter pressure chamber in which the exit pressure can be controlled. In order to process the data, one of the key elements is the Bagley correction that is required to determine the correct entrance pressure at as pecific shear rate. In all analysis approaches presented in literature on data at controlled exit pressure, the Bagley correction was always determined at atmospheric exit pressure, disgarding possible effects of an enhanced exit pressure. In this paper, an ew analytical approach is presented that for the first time allows for ad irect assessment of the entrance pressures obtained when capillary measurements are performed with controlled counter pressures. It is demonstrated, using polycarbonate, that the entrance pressure correction needed to obtain correct viscosity values under pressure is significantly different than the one needed to correct measurements performed at atmospheric exit pressure. 1I ntroductionAlready in 1957, Maxwell and Jung demonstrated that the apparent viscosity of abranched polyethylene melt increased exponentially with pressure (Maxwell and Jung, 1957). This dependency has important consequences for polymer processing operations. For instance, under typical injection molding conditions, at pressures of the order of several tens of MPa, neglecting the increase of viscosity with pressure can lead to incomplete cavity filling and/or longer processing times. With a growing demand on product performance and accuracy, in combination with the availability of sophisticated numerical simulations, an accurate incorporation of pressure effects is more and more required. Nevertheless, the pressure effect on viscosity is often ignored and the amount of experimental data is still relatively limited. The latter is due to the inherent difficulty in performing accurate measurements of the pressure effect as was reviewed by for instance Goubert et al. (2001) and more recently by Cardinaels et al. (2007).Since the pioneering work of Maxwell and Jung, arange of analysis procedures and experimental devices has been discussed in literature, which can be categorized into indirect and direct methods. Indirect methods to determine the pressure dependence of the viscosity are typically based on the principle of free volume and use the temperature dependency of viscosity and an equation of state for the polymer (the pressure-volume-temperature behavior) to determine the pressure sensitivity of the viscosity (e. g. Utracki, 1983Utracki, , 1985Utracki and Sedlacek, 2007). Regarding the direct methods, two approaches exist. The first one requires no special instruments but is based on the non-linearities in the Bagley plots, obtained either with capillary...
The paper addresses techniques for checking the performance of rotational rheometers with coneplate, plate-plate, or concentric cylinder geometry. We focus on the determination of the viscosity as a function of the shear rate and of the magnitude of the complex viscosity as a function of the angular frequency. After summarizing the relevant definitions and test modes, we show examples of measurements in the linear viscoelastic range, and applications of the Cox-Merz relationship. Sources of reference fluids with defined viscosities are presented, and their use in tests for verification of accuracy is demonstrated. Relevant issues, predominantly for Newtonian reference liquids, are the exploration of measurement limits, related either to the shear rate range or to reliably accessible viscosity levels. Viscoelastic reference samples are also discussed. Prerequisites for sample preparation and loading are addressed. In particular, we present recommendations based on experience from various laboratories. Finally, we discuss the problem of temperature calibration, presenting techniques that allow the determination of the true sample temperature for a given set temperature of the rheometer. This paper summarizes contributions from various industrial and academic laboratories.
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