Fill Factor (Q/N) and Residence Time | Technovel

Column2025.08.01

Introduction

What is a twin screw extruder


In twin screw extruders, the screw configuration itself often draws the most attention. What actually governs the real process behavior, however, is how the material flows inside the extruder in terms of its degree of fill. Even with the same screw formation, a change in throughput or screw speed alone can substantially alter how the resin flows, how long it resides in the barrel, and how shear is applied.

On the shop floor, problems such as unstable mixing, melt temperatures climbing higher than expected, or vent up during devolatilization frequently trace back to issues of fill ratio. Fill ratio is not simply a matter of “higher is better” or “lower is better.” In real extrusion processes, the question of how to build the right fill state according to material properties and process objectives is what matters.

One of the interesting aspects of twin screw extruders is that the internal filled regions can be designed with some intent through the screw formation. By adjusting operating conditions such as throughput and screw speed, the fill state and residence behavior can also be shifted significantly even with the same screw configuration.

This page organizes the basic thinking around fill ratio in twin screw extruders and how Q/N, an indicator of the fill state, influences the internal filling behavior of the extruder. Drawing on observations from actual machines, the content is presented in a way that aims to make the phenomena inside the extruder intuitive to grasp.

Fill ratio and Q/N in twin screw extruders

What fill ratio means

Fill ratio is an indicator of how much material occupies the screw channels. It is generally expressed in a range from 0 to 1 and serves as the basic measure of how densely material exists inside the extruder.

η = Q Qmax


Q : actual throughput, Qmax : theoretical maximum throughput

What Q/N means

In twin screw extruders, the calculation of Q/N (throughput divided by screw speed) is an important indicator for evaluating the material fill state inside the machine. Here, Q represents the throughput of the extruder and N refers to the screw speed.

On the floor, engineers often look at Q/N to get a rough sense of how full the extruder is at any moment. At the same screw speed, a higher throughput leads to a higher fill ratio, and conversely, at the same throughput, raising the screw speed tends to lower the fill ratio.

For example, when material is packing tightly and torque runs high, Q/N may have climbed too high. When screw speed is pushed up and material flows lightly through the barrel, the machine may be in a low fill state. In actual extrusion, the balance expressed by Q/N has a fairly large impact on mixing and viscous heating.

QN=η×C


C : volumetric coefficient of the barrel and screw (a constant that depends on screw size and element design)

Fill state in the extrusion process


The fill state inside the extruder shifts significantly with the screw formation. Full flight screws, which carry strong conveying capability, push material forward easily and tend toward relatively low fill. Combining reverse flight elements or elements without conveying capability allows material to accumulate and creates highly filled regions.

In real twin screw extrusion, the overall flow is designed by deliberately creating places where material is pushed in and places where it can escape. Engineers raise the fill in zones where stronger mixing is needed and lower the fill in devolatilization zones so that a free surface is available. The point is not whether high or low fill is good, but rather what kind of state the designer wants to create at each location.

Effects of fill ratio

Achieving uniform mixing and dispersion

Under high fill conditions, material elements inside the screws are pressed firmly against each other, which raises shear stress and promotes both dispersive and distributive mixing. This works particularly well for compounds where fillers, pigments, or additives must be evenly distributed. Excessive fill, however, leads to higher pressure and greater viscous heating, which can drive resin temperatures up, cause thermal degradation, and increase the load on the machine. When fill ratio is extremely low, voids inside the screws grow and the shearing action weakens, so insufficient mixing and poor dispersion tend to occur.

Product uniformity and process stability

When an appropriate fill ratio is maintained, the flow inside the extruder stabilizes and the variations in throughput and pressure stay small, which supports consistent product quality. For high viscosity resins and highly filled materials, fluctuations in the fill ratio can directly affect product quality. When the fill state is unstable, pressure pulsation, air entrainment, and throughput variation tend to occur, which may degrade dimensional accuracy and surface quality.

Fill ratio and residence time

Residence time refers to how long material spends in the extruder from the point of feed to the point of discharge. In general, the higher the fill ratio, the greater the amount of material present inside the extruder at any moment, so residence time tends to grow longer.

Under high fill conditions, material is exposed to shear for a longer time, which makes it easier to improve mixing and uniformity. Thermal history also increases, so for heat sensitive materials, degradation and loss of properties can become problems. Under low fill conditions, residence time is short and thermal history stays low, but insufficient mixing or dispersion may occur. For this reason, residence time and fill ratio cannot be considered in isolation, and both must be optimized together.

Effect of fill ratio on residence time

When the fill ratio is high, residence time becomes longer. More shear stress acts on the material, mixing advances, and mixing quality improves. Excessively long residence time, however, can cause decomposition or degradation, especially for heat sensitive materials. When the fill ratio is low, residence time shortens and material passes quickly through the screws. In such cases, mixing and dispersion may turn out to be insufficient.

Effect on chemical reactions

In reactive extrusion processes, fill ratio directly affects reaction efficiency. Under high fill conditions, residence time grows longer and it becomes easier to secure the reaction time required, but viscous heating and local overheating may turn into problems. Under conditions where fill ratio is too low, material passes through quickly and the reaction does not have enough time to proceed, which can lower the conversion rate. Reactive extrusion therefore calls for designing an appropriate fill ratio while considering residence time, mixing, and temperature history together.

Basic experiments with the ULTnano15
How screw speed and throughput affect fill ratio


To visually confirm how changes in the Q/N indicator shift the fill ratio, experiments were performed using a compact twin screw kneading extruder. The equipment used was the ULTnano15 , a compact recirculating twin screw kneading extruder, though the recirculation path was not used. Continuous extrusion was performed in a single pass arrangement, since the focus was on observing the fill state of the plastication and melting zone in the early part of the extrusion process.

On the same machine, Q/N was adjusted by varying operating conditions such as screw speed and throughput, and the resulting effect on the fill state was checked visually. A special split barrel design was used, which made it possible to visualize the fill state during operation with high repeatability, even compared with methods that confirm the fill state by pulling the screws out.

Experimental overview

 Test equipment: ULTnano15 compact recirculating twin screw extruder
 Screw diameter: 15 mm 
 L/D: 15, single pass arrangement
 Screw speed: 1000 rpm

 Feed material: ENEOS NUC DFDJ-0964 
 Temperature settings: C1 : 120 °C, C2 and D : 160 °C
 Screw speed and throughput: varied by sample
 * A melt temperature and pressure sensor was installed at the discharge section.

Operating conditions / screw speed, throughput, and Q/N

Throughput
g/hr
5002500500015001500150030015003000
Screw speed
rpm
10050010001005001000300300300
Q/N5C5C5C15C3C1.5C1C5C10C


Comparison of ①/②/③: differences in fill ratio across three points at the same Q/N
Comparison of ④/⑤/⑥: differences in fill ratio across three points at different Q/N (throughput held constant)
Comparison of ⑦/⑧/⑨: differences in fill ratio across three points at different Q/N (screw speed held constant)

Operating conditions / screw formation

Mixing section with kneading N and kneading L only
Mixing section with kneading N and kneading L only

Visual comparison at the same Q/N (①/②/③)

① Throughput 500 g/hr, screw speed 100 rpm
② Throughput 2500 g/hr, screw speed 500 rpm
③ Throughput 5000 g/hr, screw speed 1000 rpm

Visual comparison at different Q/N (④/⑤/⑥), throughput held constant

④ Throughput 1500 g/hr, screw speed 100 rpm
⑤ Throughput 1500 g/hr, screw speed 500 rpm
⑥ Throughput 1500 g/hr, screw speed 1000 rpm

Visual comparison at different Q/N (⑦/⑧/⑨), screw speed held constant

⑦ Throughput 300 g/hr, screw speed 300 rpm
⑧ Throughput 1500 g/hr, screw speed 300 rpm
⑧ Throughput 3000 g/hr, screw speed 300 rpm

Experimental results

The results showed that when comparisons were made at the same Q/N value, no large differences in fill ratio were observed, although there was some scatter. When comparisons were made at different Q/N values, clear differences in fill ratio emerged. In particular, the fill ratio inside the twin screw extruder rose distinctly as Q/N grew larger. This suggests that the balance between feed rate and screw speed sensitively shifts the residence and fill behavior of the resin, and it supports Q/N as an effective parameter for understanding the extrusion process.

Data on resin pressure and resin temperature at the tip of the extruder was also collected, both for comparisons at the same Q/N and for comparisons at different Q/N. These data offered rich insights into the fill behavior of the plastication and melting zone, and the findings were highly interesting. The experimental results on resin temperature and resin pressure are presented at the link below. That page discusses how differences in operating conditions affect process parameters such as temperature and pressure.

※ For more details, please also refer to the explanatory page “Practical organization of operating conditions in twin screw extruders“.

Relationship between fill ratio and screw formation

In twin screw extruders, fill ratio and screw formation cannot be considered separately. In a real extrusion process, where the material is filled significantly changes the mixing state, the pressure distribution, devolatilization performance, and even how the resin temperature rises.

Screw design and process design for twin screw extruders are more complex than they appear from the outside. Actual extrusion conditions and screw formations strongly reflect the experience and know how of each manufacturer and each site. For that reason, this page does not introduce specific formulation conditions or detailed know how. The aim is to organize the basic thinking around the extrusion process, including how material is conveyed, melted, and mixed inside a twin screw extruder, and how factors such as the L/D ratio, screw channel depth, element configuration, and fill ratio relate to the process.

※ For more details, please also refer to the explanatory page “Screws and screw formations in twin screw extruders“.

Importance of fill ratio design: other effects

Fill ratio influences not only devolatilization but also temperature history, mixing state, fiber breakage, and dispersion, all of which shape overall product quality. Under high fill conditions, shear stress and pressure rise, so dispersion performance tends to improve, but viscous heating also grows, which raises the risk of thermal decomposition and reduction in molecular weight. For glass fiber and carbon fiber materials in particular, excessive shear can lead to a drop in fiber length. Under low fill conditions, internal heat generation stays low and temperature control becomes easier, but mixing force tends to be insufficient. The result can be poor dispersion and unstable discharge.

A clear tradeoff exists in fill ratio design, and optimal conditions need to be determined by considering material properties, quality requirements, and machine load together.

Summary

Fill ratio and residence time in twin screw extruders are important process indicators that affect the mixing state, shear history, devolatilization performance, and even the quality of the final product. In general, high fill conditions extend residence time and work in favor of mixing and reaction, but they also raise the risk of temperature rise and thermal degradation. Low fill conditions keep thermal history low but can lead to insufficient mixing or dispersion.

For this reason, the twin screw extrusion process is not a simple choice between high fill and low fill. The right approach is to design the optimal fill state according to the target mixing performance, reactivity, and quality requirements. Q/N is an effective parameter for organizing that fill state and for systematically understanding operating conditions, and it proves highly useful in practice as well.

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ABOUT THE PUBLISHER

Technovel Corporation — Extrusion Machinery Specialists

Osaka based Technovel specializes in extrusion machinery. We built the world’s first horizontally multi screw extruder, and our Quad and Octa screw extruders now serve diverse industries. Our twin screw range runs from the world’s smallest 6 mm lab unit, through our best-selling 15 mm model, to large production machines. This column shares the know how behind them.

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