A novel, rapid, parallel, and high-throughput system for measuring viscosity of materials under different conditions of shear rate, temperature, time, etc., has been developed. This unique system utilizes the transient flow of a complex fluid through pipettes. This approach offers significant practical advantages over microfluidic-based devices for viscosity screening: no cleanup is required, the method is high throughput (<1 h for 100 samples), and only small sample volumes (<1 mL) are used. This paper details for the first time the experimental and modeling efforts to implement this mass- and pressure-based viscosity measurement concept as a robust viscosity estimation tool. This approach is very well-suited for viscosity measurements in high-throughput formulation workflows, as it is rapid and parallel and operates directly on samples in various microtiter plate formats. We present systematic experimental observations together with numerical and analytical modeling approaches to characterize instrument capabilities and limitations. The complex transient flow of fluids through these pipettes leads to data-rich pressure profiles. Numerical and analytical modeling is then used to extract viscosity and other rheological parameters from these pressure profiles. We have successfully utilized this viscosity screening tool for a multitude of complex fluids including oils, paints, solvents, and detergents.
Conditional volume averaging is used to develop a model capable of simulating two-phase flows of viscoelastic fluids with surface tension effects. The study is started with the single-phase mass and momentum balances, which are subsequently conditionally volume averaged. In doing so, we arrive at a set of equations having unclosed interfacial terms, for which closure relations for viscoelastic fluids are presented. The resulting equations possess a structure similar to the single-phase equations; however, separate conservation equations are solved for each phase. As a result, each phase has its own pressure and velocity over the entire domain. Next, our numerical implementation is briefly outlined. We find that a Poiseuille single-phase flow is predicted correctly. The closure terms are examined by considering a twophase shearing flow and a quiescient cylinder with surface tension. A convergence analysis is performed for a steady stratified two-phase flow with both phases being viscoelastic.
In analytical analyses for single-screw extruders the simplified approach of rotating the barrel and keeping the screw fixed is often used instead of rotating the screw and fixing the barrel. Although the flow field is independent of the reference frame, as has already been shown to a satisfactory degree (Rauwendaal et al., 1997), the question of the dependence of the melt temperature rise on the reference frame is still being challenged, e.g. Campbell et al. (2001, 2008). In this work we develop a finite-volume CFD code allowing for the three-dimensional simulation of the flow and temperature rise in both reference frames. The question of frame invariance is addressed by simulating the flow of a Newtonian-like polycarbonate both in a two-dimensional cross-section of a single-screw extruder and in a three-dimensional model with two full turns of the screw. Our results show that the kinematics and the melt temperature rise are equal for screw- and barrel-rotation and thus independent of the reference frame. Furthermore, the presence of a clearance flow has a negligible influence on the temperature rise.
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