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15

-1

15

Design of Experiments

for Coatings

15.1 Introduction

15-

1
15.2 Standard Two-Level Factorial Designs

15-

2

Case study — Screening Factors thought to Affect a Spin Coater

15.3 Optimization via Response Surface Methods
(RSMs)

15-

4


15.4 Mixture Designs for Optimal Formulation

15-

5
References

15-

6

15.1 Introduction

The traditional approach to experimentation changes only one process factor at a time (OFAT) or one
component in a formulation. However, the OFAT approach does not provide data on interactions of
factors (or components), a likely occurrence with coating formulations and processes. Statistically-based
design of experiments (DOE) provides validated models, including any significant interactions, that allow
you to confidently predict response measures as a function of the inputs. The payoff is the identification
of “sweet spots,” where you can achieve all product specifications and processing objectives.
The strategy of DOE is simple and straightforward:
1. Use screening designs to separate the vital few factors (or components) from the trivial many.
2. Follow up by doing an in-depth investigation of the surviving factors. Generate a “response surface”
map and move the process or product to the optimum location.
However, the designs must be tailored for the nature of the variables studied:
•Components in a product formulation
•Factors affecting a process
Tr aditionally, the experiments on formulations versus processing are done separately by chemists and
engineers, respectively. Obviously, collaboration between these two technical professions is essential to
the success of any study. Furthermore, mixture components can be combined with process factors into
one design for final optimization. In other words, you can mix your cake and bake it too, but this should

be done only at the final stages of development — after narrowing the field of variables to the vital few.
We will devote most of this short discussion to process screening, because these designs are relatively
simple, yet are incredibly powerful for making breakthrough improvement. Mastering this level of DOE
puts you far ahead of most technical professionals and paves the way for more advanced tools geared to
optimization of processes or formulated products.

Mark J. Anderson

Stat-Ease, Inc.

Patrick J. Whitcomb

Stat-Ease, Inc.

DK4036_book.fm Page 1 Monday, April 25, 2005 12:18 PM
© 2006 by Taylor & Francis Group, LLC

16

-1

16

Top 10 Reasons Not to
Base Service Life
Predictions upon
Accelerated Lab Light

Stability Tests


16.1 Light Spectra

16-

1

16.2 Light Intensity

16-

4
16.3 Temperature Sensitivity of Materials

16-

4

16.4 Gas (Ozone) Fading

16-

5
16.5 Catalytic Fading

16-

5
16.6 Lux versus UV

16-


5
16.7 Light Stability Testing Standards

16-

5
16.8 Conclusion

16-

6
References

16-

6
The popularity of personal computers and digital cameras has ushered in an exploding new market of digital
images printed from consumer printers. There is an endless combination of inkjet inks and commercial
photo papers currently available in the marketplace. However, no one is really sure how long these printed
images will remain lightfast. Image permanence is a big issue. Many OEM computer printer manufacturers,
inkjet ink, and paper suppliers are rushing to develop a standardized light stability test protocol that will
generate meaningful test data. But, this is inherently complex. There are a myriad of factors that can cause
degradation of image quality besides ultraviolet (UV) light: ozone (or gas) fade, catalytic fading, humidity,
dark stability, and temperature. Together or individually, each can wreak havoc on a treasured image.
Following is a review of the major issues related to light stability testing of inks and substrates.

16.1 Light Spectra

It must first be stated that there is no standard light spectrum to replicate indoor lighting conditions.

However, a recent Kodak study concluded that indirect window-filtered daylight is the dominant indoor
lighting condition in homes.

1



Let us review some widely used laboratory light sources for light stability
testing of printed images.

Eric T. Everett

Q-Panel Lab Products

DK4036_C016.fm Page 1 Thursday, May 12, 2005 9:40 AM
© 2006 by Taylor & Francis Group, LLC
Fluorescent Lamps • Xenon Arc Lamps
Standard Temperature • Humidity • Dark Stability • Linearity
of Degradation • Reciprocity Failure

17

-1

17

Under What

Regulation?


17.1 Introduction

17-

1
17.2 Code of Federal Regulations

17-

1
17.3 Title 29 (Labor)

17-

1
17.4 Protection

17-

2
17.5 Biocides

17-

3
17.6 Testing

17-

3

17.7 Volatile Organic Substances (VOCs)

17-

3
17.8 Food and Drug Administration (FDA)

17-

3
17.9 Which Regulation?

17-

4

17.1 Introduction

Civilization is based on laws and regulations for the common good. Way back, the law was as simple as,
“don’t kill each other.” As time passed and technology grew, the laws and regulations became more
complex to keep up with the technology. Regulations were and are issued by the federal government, the
state government, the county government, and the local government. With everyone enacting regulations,
confusion abounds. There are just too many regulations to compile in a single list. The following looks
at some of the major regulations governing the coatings and inks industries.

17.2 Code of Federal Regulations

The government of the United States of America discusses possible regulations and publishes the discus-
sion in the


Federal Register

on a daily basis. When it is concluded that a regulation, or change in regulation,
is needed, it will be published in the Code of Federal Regulations (CFR). This CFR is an enormous work
comprising some 50 titles, each subdivided into a number of books.

17.3 Title 29 (Labor)

In Title 29 (Labor) is section XVII (Occupational Safety and Health Administration, Department of
Labor). Under this section is part 1910.1200, Material Safety Data Sheet (MSDS). The MSDS started by
proposing safety considerations for asbestos during the process of cutting ships apart. It has progressed
to cover almost all chemicals used in industry and commerce. The MSDS lists the manufacturer respon-
sible for the product, the composition, and safety and health concerns. This form has gone, in practice,
from seven sections to 16 or more. An example listing of the section titles is as follows:

Arthur A. Tracton

Consultant

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© 2006 by Taylor & Francis Group, LLC

II

-1

II

Coating and Processing


Techniques

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© 2006 by Taylor & Francis Group, LLC

18

-1

18

Wire-Wound Rod

Coating

18.1 Introduction

18-

1
18.2 History

18-

2
18.3 Theory and Principle

18-

3

18.4

18.5 The Rod Coating Station

18-

4

Rod Station Variations

18.6 Advantages and Disadvantages

18-

7

18.1 Introduction

Wire-wound metering rods have been used for more than 75 years to apply liquids evenly to flexible
materials. They were the first tools used to control coating thickness across the full width of a moving
web. The 1980s saw a new popularity in rod use because of improved quality and the industry trend
toward shorter converting runs. Wire-wound rods are used in a wide range of applications but find their
greatest appeal in the manufacture of tapes, labels, office products, and flexible packaging. The first rods
were made of ordinary carbon steel, wrapped with music wire. Today’s metering rods use precision-
ground core rods made of stainless steel, tightly wound with polished stainless steel wire at high speeds,
on custom-designed winding machines. The resulting product is a laboratory-quality precision tool that
can control coating thicknesses accurately within 0.0001 in. (0.1 mil). A typical wire-wound rod station
Also called applicator rods, Mayer bars, equalizer bars, coating rods, and doctor rods, this equipment
has found uses in a wide variety of production applications, from the manufacture of optical films to
wallboard panels. Wire-wound metering rods look deceptively simple. A stainless steel rod is wound with

a tight spiral of wire, also made of stainless steel. The wire can be so small that it is almost invisible to
the naked eye, or so large that the windings look like the coils of a hefty spring. Today, the industry has
standardized on stainless steel rods because they can be used with almost every coating liquid. Earlier
problems with rust and corrosion have been virtually eliminated. Where abrasive wear is a problem,
some converters use chrome plating to prolong the life of the rod because of the hard surface presented
by chromium. Chrome has its drawbacks, however, as it builds up unevenly at the extreme tops of the
wires, changing the shape of the wires and the resulting coating thickness. Also, if not applied properly,
chrome can acquire pitting marks or can flake off, contaminating the coating bath or causing uneven
coating. Several new products introduced since 1985 have further expanded the market for rods. Where
streaking or rod cleaning is a problem, rods with a Teflon surface are available. Particles that might wedge
between stainless steel wires tend to slide through, preventing buildups and subsequent streaks in the

Donald M. MacLeod

Industry Tech

DK4036_book.fm Page 1 Monday, April 25, 2005 12:18 PM
© 2006 by Taylor & Francis Group, LLC
Low Cost • Precise Coat Weights • Lower Setup Cost • Less Edge
Film Thickness
18-4
Wear • Limitations
is shown in Figure 18.1.

Wire-Wound Rod Coating

18

-5


The web can be immersed directly into a tank (Figure 18.4); or an applicator can be rotated in the
reservoir to transfer the liquid to the web at the top of its rotation (Figure 18.5). It is important to apply
an excess of coating liquid at this station, to let the metering rod do its job.
When an applicator roller is used in a rod coating system, the speed of the applicator is not a critical
factor. In addition, the machine operator can adjust the applicator roller speed within a side range, even
while the machine is running. The web passes over the metering rod, which may be stationary or may
be rotated slowly. The rotation may be either in the same direction as the web or in the opposite direction.
The choice of stationary rod depends on movement with different coaters and with different products.
Establishing the ideal speed of rotation will also be different from job to job, and converters experiment
to find the best procedure for each run. The most common procedure, however, is to rotate the rod
slowly in the opposite direction to the movement of the web. The rotation flushes the coating material
between the wires, keeping the wire surfaces wet, and preventing setting up and hardening of some
liquids. The rotation also distributes any abrasive wear evenly on the wires and prevents flat spots from
forming. The purpose of the metering rod is to remove excess coating liquid, allowing a measured amount
to pass between the wire windings. The web should pass above the rod, to allow the excess liquid to fall
back into the tank. The web, however, need not be perfectly horizontal, as long as the surplus coating
can return to the tank through gravity. Metering rods for production coating can be made in a wide
variety of sizes. The most common core rod diameters are quite small (3/16 and 1/4 in.), although sizes
up to 1 in. diameter are also used. The main advantages of small-diameter rods are their low cost and
ease of storing and handling.
These thin rods must be supported in the coating machine, because they are not rigid and will deflect
with pressure from the web. There are several types of rod holder in common use; the simplest is a square
of a rectangular steel bar, with a “V” groove machined into it. This rod holder is mounted between the
side frames of the coating machine, and the metering rods are placed in the grooves. The “V” groove

FIGURE 18.4

Web immersion method.

FIGURE 18.5


Applicator roller method.

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© 2006 by Taylor & Francis Group, LLC

18

-6

Coatings Technology Handbook, Third Edition

should be ground and polished to minimize wear on the rod and should be mounted accurately, at a
right angle to the direction of web travel and parallel to the idler rollers of the machine (Figure 18.6).
The design of a rod coating station should ensure that the web makes intimate contact with the wires
of the metering rod. The wrap angle, the angle between the web direction as it approaches the rod, and
its direction as it leaves the rod, should be 15

°

for a heavy web tension or up to 25

°

for a light web tension
(Figure 18.7).
Web tension is a critical factor in the design of a rod coating station. With a wrap angle of 15 to 25

°


,
the web must be tight enough to ensure intimate contact with the metering rod, yet not so tight that the
web is deformed by the wires. Adhesives and some other liquids can solidify between the wire windings
of the rod whenever the coater is stopped. Many coating machines have a “throw-off” feature, a mechan-
ical means of separating the web from the rod automatically, whenever the machine is turned off. This
allows for quick removal of the rod for flushing and cleaning before the coating material has a chance
to congeal between the wires (Figure 18.8).
This automatic releasing feature also simplifies rod changing between production runs. One method
used by coating machine manufacturers is a rocker arm throw-off system. A series of idler rollers presses
the web against the metering rod while the coating machine is running. Whenever the coater is stopped,
the idlers automatically rise, lifting the web up, away from the metering rod. At the same time, a water
flushing system can be triggered to remove coating material from the rods before it can set up. Other
techniques involve lowering the metering rod and its holder when the coater is turned off.

FIGURE 18.6

Rod holder.

FIGURE 18.7

Wrap angle.

FIGURE 18.8

Automatic throw-off.

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© 2006 by Taylor & Francis Group, LLC

19


-1

19

Slot Die Coating for Low

Viscosity Fluids

19.1 Introduction

19-

1
19.2 Manifold Theory and Design

19-

1
19.3 Air Entrapment

19-

4
19.4 Lip Design

19-

4


19.5 Die Adjustment as It Relates to Manifold Design

19-

6
19.6 Coat Weight Adjustment

19-

6
19.7 Adhesive Selection

19-

6
19.8 Die Steel and Piping Selection

19-

6
19.9 Proximity versus Contact Coating

19-

6
19.10 Die Positioning

19-

8


19.11 Backup Roll Design

19-

12
19.12 Automatic Control

19-

12

19.13 Deckling

19-

14

Air Entrapment behind Deckling

19.14 Die Cleanup

19-

14

19.1 Introduction

Slot head coating has spawned a wide range of designs, some quite radical in their concept. This chapter
discusses conservative manufacturing experience along with the experience of a wide variety of processors

currently utilizing the proximity or wipe-on method.

19.2 Manifold Theory and Design

The primary purpose of a die is to define a width and provide an even coating in terms of cross-sectional
thickness and smoothing. The manifold and coat-hanger section of the die is the main component in
accomplishing uniform distribution. Smoothing will be addressed in a later section.
There are two basic styles of manifold design in use today: coat-hanger shaped, with a volumetrically

Harry G. Lippert

Extrusion Dies, Inc.

DK4036_book.fm Page 1 Monday, April 25, 2005 12:18 PM
© 2006 by Taylor & Francis Group, LLC
Lip Adjustment Design • Lip Wiping Face Design
Die Control • Die-to-Roll Position Adjustment System
Slot Head-to-Roll Position and Angle of Contact • Lip
Opening Setup • Die-to-Roll Gap Setup
Profiling • Die Support Design and Operation • Support and
Positioning • Angle of Attack Position Adjustment • Lip
Adjustment System Design Specifications • Die-to-Roll
reducing cross section (Figure 19.1), and T-shaped, with a constant cross section (Figure 19.2).

Slot Die Coating for Low Viscosity Fluids

19

-3


In either style, flow through the manifold is analogous to flow through a pipe in that there is an
increasing resistance to material flow as the length increases. The wider the die (the longer the pipe), the
greater the resistance to flow. It follows then that the primary criterion in a good die design is to ensure
adequate flow to the ends of the die as the width requirements increase.
The coat-hanger-style die utilizes a slot section (preland) with a varying length downstream of the

preland section must decrease at the same rate it increases in the manifold section. If the sum of these
two components is equal at any point in the overall flow stream, the result is an even flow.
It can be seen that while the generic coat-hanger-style design is fixed, the overall dimensions may
vary greatly, depending on a given die width, flow rate, or general coating material requirements.
Generally, as the die gets wider, the length of the preland section (

B

1

) must get longer and the manifold
larger; as the flow rate increases, the manifold must get larger as well as the height of the gap at

B

1

. The
compensating preland section downstream of the manifold allows the die design to be varied greatly to
suit a given application.
These large internal designs are used for applications characterized by coating materials that vary
greatly in viscosity levels or call for an extreme range of flow rates. Larger flow channels are less sensitive
to rate and viscosity changes than are small channels. Small internal designs are used for materials that
require a low residence time in the die because of thermal degradation, or high shear rates to prevent

gelation (thixotropic materials).
In analyzing the coat-hanger manifold, it must be emphasized that the manifold decreases in cross
section as it approaches the ends of the die (dimensions

A

in Figure 19.1); this rate of reduction may
also be changed to suit a specific application. Because material is flowing out of the front of the die along
its entire width, less material is presented to the manifold as it approaches the ends of the die. The
reduction in manifold volume is an attempt to keep the velocity of the material at the ends of the die to
a maximum, to compensate for the lower flow rate, and to prevent carbonization of the resin or changes
in viscosity in a thixotropic or dilatant adhesive.
In summary, it can be seen that the coat-hanger manifold design can be modified to suit an application
and still accomplish the primary criterion of even flow distribution. To adequately design a coat-hanger
die, the following information is required:
1.
its viscosity level at a given shear rate; this is required for all non-Newtonian or shear thinning fluids
2. Flow rate or range of rates
3. Material density at processing temperatures
4. General material characteristics, such as heat degradability or thixotropicity
preland section; this is because of its inherent design. Rather, this style of die design relies on a larger
manifold section to reduce the resistance to flow to the ends of the die; the larger the manifold, the less
the resistance and the better the flow distribution. In theory, there can never be an even distribution,
because no matter how large the manifold is, there will always be some pressure drop across it and,
therefore, less flow to the ends of the die when compared to the center.
The larger manifold has some drawbacks in that the residence time is greatly increased and flow at
the ends of the die is nearly stagnant. The overall internal flow channel design cannot be increased or
decreased to suit a given application, as it is restricted by the need for manifold size to achieve some
flow distribution.
If the flow presented to the die is not constant over time, if the fluid is not homogeneous in terms of

temperature and mix, and because there are inherent errors in viscosity measurement and theoretical
flow calculations, thickness variations will sometimes occur. To adequately adjust these flow variations,
a flexible lip is required as a fine-tuning adjustment.
Having multiple entrances or a pump within a die simply represents attempts at producing uniform
distribution, minimizing the effect of transverse pressure drop, and simplifying the job of manifold design.

DK4036_book.fm Page 3 Monday, April 25, 2005 12:18 PM
© 2006 by Taylor & Francis Group, LLC
manifold to compensate for this pressure increase (see area B, Figure 19.1). The pressure drop in the
Rheology curve (see Figure 19.3) — a rheology curve, a fingerprint of a particular resin, predicts
The T-shaped manifold in the constant cross-sectional style (see Figure 19.2) has no compensating

×