Investigation of Flow Rate and Viscous Dissipation in a Single Screw Pump-Extruder

Campbell, Gregory A.; Wang, C.; Cheng, Hongying; Bullwinkel, M. D.; te-Riele, M. A.

doi:10.3139/217.1663

Cited by 14 publications

(5 citation statements)

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“…McKelvey [ 73 ] introduced calculation of the adiabatic melt temperature development for a temperature-dependent Newtonian fluid, leading to a logarithmic melt temperature increase. Campbell et al [ 84 ] investigated the viscous dissipation rate of Newtonian fluids based on screw-rotation and barrel-rotation theories.…”

Section: Exact Analytical Approachesmentioning

confidence: 99%

Melt Conveying in Single-Screw Extruders: Modeling and Simulation

Marschik¹,

Roland

Osswald

2022

Polymers

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Numerous analyses have modeled the flow of polymer melts in the melt-conveying zones of single-screw extruders. While initial studies mainly provided exact analytical results for combined drag and pressure flows of Newtonian fluids, more recently developed, numerical methods seek to deepen the understanding of more realistic flow situations that include shear-thinning and non-isothermal effects. With the advent of more powerful computers, considerable progress has been made in the modeling and simulation of polymer melt flows in single-screw extruders. This work reviews the historical developments from a methodological point of view, including (1) exact analytical, (2) numerical, and (3) approximate methods. Special attention is paid to the mathematical models used in each case, including both governing flow equations and boundary conditions. In addition, the literature on leakage flow and curved-channel systems is revisited.

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Section: Exact Analytical Approachesmentioning

confidence: 99%

Melt Conveying in Single-Screw Extruders: Modeling and Simulation

Marschik¹,

Roland

Osswald

2022

Polymers

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“…[ 15 ] Campbell and colleagues developed a single‐screw extrusion model based on the Eulerian reference frame of screw rotation. [ 16‐19 ] Several books focusing on the new developments after 1980 were published for polymer processing and extrusion: Tadmor and Gogos (2012) [ 20 ] ; Chung (2000) [ 21 ] ; and Campbell and Spalding (2013). [ 22 ] These books laid the foundations for modern extruder and polymer processing technology.…”

Section: Introductionmentioning

confidence: 99%

“…Although commercial polymers are rheologically complex with both elastic and shear thinning characteristics, this investigation will be confined to moderately high Newtonian viscosity materials, polyols, Campbell et al [ 44 ] Reboredo,, [ 45 ] Lipshitz and Macosko. [ 46 ] The fluid rheology will thus be consistent with the analytical solution of the equations of motion analyzed here.…”

Section: Introductionmentioning

confidence: 99%

Residence time in a single screw free helix extruder using a new solution to the biharmonic equation

Campbell

Bomma

John

et al. 2020

Polymer Engineering & Sci

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A new analytical solution for the biharmonic equation was developed for single screw extrusion cross‐channel fluid mechanical flow. This analysis led to a quantitative model for residence time distribution when combined with the historic solutions of the drag and pressure flow in the rectangular channel in the single‐screw extruder. The focus of the theoretical and experimental investigation here was to examine how closely the new analytical solution correlated with experimental residence time data for a free‐helix extruder. This new extrusion device was operated as both a conventional extruder and a more positive displacement device by using only helix rotation as the pump. The Moffatt eddies that occur in the quiescent corners of the rectangular channel with screw rotation were found to have a strong effect on the residence time of the extruder. Because there were no quiescent corners for the free‐helix flow there was essentially no residence time tail for this mode of extruder displacement. The theoretical results for a sheet of dye spanning the screw channel width and dye “blobs” were compared with experimental results for both modes of operation. In all cases, the experiments and the theory predictions were essentially consistent.

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“…Rather, the screw-drive power is a combination of pressure build-up work and viscous dissipation, where the latter is the main source of the melt-temperature increase in a melt-conveying channel. Campbell et al [ 35 ] investigated the viscous dissipation of a Newtonian fluid for both barrel- and screw-rotation theory. Using a representative viscosity approach, Rauwendaal [ 8 ] developed various methods for predicting the melt-temperature increase.…”

Section: Introductionmentioning

confidence: 99%

Extended Regression Models for Predicting the Pumping Capability and Viscous Dissipation of Two-Dimensional Flows in Single-Screw Extrusion

et al. 2019

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Generally, numerical methods are required to model the non-Newtonian flow of polymer melts in single-screw extruders. Existing approximation equations for modeling the throughput–pressure relationship and viscous dissipation are limited in their scope of application, particularly when it comes to special screw designs. Maximum dimensionless throughputs of ΠV < 2.0, implying minimum dimensionless pressure gradients Πp,z ≥ -0.5 for low power-law exponents are captured. We present analytical approximation models for predicting the pumping capability and viscous dissipation of metering channels for an extended range of influencing parameters (Πp,z ≥ -1.0, and t/Db ≤ 2.4) required to model wave- and energy-transfer screws. We first rewrote the governing equations in dimensionless form, identifying three independent influencing parameters: (i) the dimensionless down-channel pressure gradient Πp,z, (ii) the power-law exponent n, and (iii) the screw-pitch ratio tDb. We then carried out a parametric design study covering an extended range of the dimensionless influencing parameters. Based on this data set, we developed regression models for predicting the dimensionless throughput-pressure relationship and the viscous dissipation. Finally, the accuracy of all three models was proven using an independent data set for evaluation. We demonstrate that our approach provides excellent approximation. Our models allow fast, stable, and accurate prediction of both throughput-pressure behavior and viscous dissipation.

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Investigation of Flow Rate and Viscous Dissipation in a Single Screw Pump-Extruder

Cited by 14 publications

References 0 publications

Melt Conveying in Single-Screw Extruders: Modeling and Simulation

Melt Conveying in Single-Screw Extruders: Modeling and Simulation

Residence time in a single screw free helix extruder using a new solution to the biharmonic equation

Extended Regression Models for Predicting the Pumping Capability and Viscous Dissipation of Two-Dimensional Flows in Single-Screw Extrusion

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