13
Improving Polymer Blend Dispersions in Mini-Mixers MILAN MARIC * and CHRISTOPHER W. MACOSKOT Department of Chemical Engineering and Materials Science University of Minnesota-Twin Cities Minneapolis, Minnesota 55455 The simple cup and rotor mini-mixer, designed to blend very small polymer batches (0.3 g. MiniMAX), was compared to larger lab scale mixers: an internal batch mixer (50 g, Haake): a conical, recirculating twin screw extruder (5 g, DACA): and a 16 mm co-rotating twin screw (300 g/hr, PRISM).All were compared at the maximum shear rate in the cup and rotor mixer, 110 s-l. Particle sizes of poly(propy1ene)(PP) dispersed in poly(styrene) (80 wt% PS) were measured by dis- solving the PS, filtering and using scanning electron microscopy. The 16 mm twin screw gave somewhat smaller particle sizes than the lab scale mixers (1.2 pm vs 1.7 and 1.9 pm), but dispersion in the cup and rotor mini-mixer was much poorer. Simply adding three steel balls to the cup as suggested by Marechal et al. (Polym Networks Blends, 1997) greatly improved the dispersion (1.8 pm). Modifylng the rotor design to allow recirculation yielded similar improvement. The benefit of adding three balls was confirmed in blends of low viscosity poly(dimethy1siloxane) PDMS in PS. When anhydride terminal PDMS was blended with amino terminal PS, the particle sizes were much smaller (10 vs. 0.3 pm) and the differences be- tween the three versions of the cup and rotor were much less pronounced. INTRODUCTION ecent research suggests a common morphology R development mechanism for polymer blends in mixers such as twin-screw extruders (1-8). internal batch mixers (2, 9-13) and even cup and rotor batch mixers compounding less than a gram of material (2, 14). However, the final blend morphology in these cup and rotor mixers was coarser, with many large dis- persed phase domains existing even after 20 minutes mixing (2). Our objective here was to find a better small dispersive mixer. Our goal is to compound poly- mer blends in a small cup and rotor mixer so that we can predict the morphology expected in larger, pro- duction-scale extruders without consuming large quantities of polymer. The mixers used in this study are summarized in Table 1. The Couette flow geometry in the cup and rotor mixer ( M i n i m ) shown in Fig. la does not provide the secondary flows needed for good distributive mix- ing. Periodically lifting up the rotor caused some fold- ing of material to occur and improved mixing (2). However, lifting the rotor may not reproduce mixing conditions from one blend to another since not all 'Current address: Xerox Research Centre of Canada, 2660 Speakman Drive, 'To whom correspondence should be addressed. Mississauga. ON L5K 2L1. Canada materials will adhere to the rotor identically. Marechal et al. added three steel balls to the MiniMAX (Rg. I b) (14). They found a more homogeneous and finer dis- persion comparable to samples taken from a larger in- ternal batch mixer (14). The improved mixing caused by the three balls was attributed to re-orientation of the melt from the top to the bottom of the mixer and from the mixer center to the walls. This introduced extensional flows and a wide range of shear rates needed for effective break-up of the dispersed phase. Removing relatively large samples from the Mini- MAX with the balls present was awkward, thereby prompting the design modification shown in Fig. 2. Besides rotating axially, the shaft can move vertically to periodically re-orient the fluid as indicated in Flg. 2c. A larger mixer (10 g capacity) with a similar design to that of our modified MiniMAX was used by Hori- uchi et al. (15, 16). However, in their study no com- parison was made to other mixers. This report compares the MiniMAX under three conditions for PS/PP blends: a) original MiniMAX de- sign (MM), b) original MiniMAX with three steel balls (MM-3b). and c) modified MiniMAX (MM-m) design. Nonreactive and reactive blends of PS with poly(di- methylsiloxane) (PDMS) compounded in the mini- mixers were also examined. These blends are more difficult to mix, owing to the large difference in vis- cosities between PS and PDMS. For the PS/PP blends, samples from the mini-mixers were compared to those 118 POLYMER ENGINEERING AND SCIENCE, JANUARY 2001, Vol. 41, No. 1

Improving Polymer Blend Dispersions in Mini-Mixers

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  • Improving Polymer Blend Dispersions in Mini-Mixers

    MILAN MARIC * and CHRISTOPHER W. MACOSKOT

    Department of Chemical Engineering and Materials Science University of Minnesota-Twin Cities

    Minneapolis, Minnesota 55455

    The simple cup and rotor mini-mixer, designed to blend very small polymer batches (0.3 g. MiniMAX), was compared to larger lab scale mixers: an internal batch mixer (50 g, Haake): a conical, recirculating twin screw extruder (5 g, DACA): and a 16 mm co-rotating twin screw (300 g/hr, PRISM). All were compared at the maximum shear rate in the cup and rotor mixer, 110 s-l. Particle sizes of poly(propy1ene) (PP) dispersed in poly(styrene) (80 wt% PS) were measured by dis- solving the PS, filtering and using scanning electron microscopy. The 16 mm twin screw gave somewhat smaller particle sizes than the lab scale mixers (1.2 pm vs 1.7 and 1.9 pm), but dispersion in the cup and rotor mini-mixer was much poorer. Simply adding three steel balls to the cup as suggested by Marechal et al. (Polym Networks Blends, 1997) greatly improved the dispersion (1.8 pm). Modifylng the rotor design to allow recirculation yielded similar improvement. The benefit of adding three balls was confirmed in blends of low viscosity poly(dimethy1 siloxane) PDMS in PS. When anhydride terminal PDMS was blended with amino terminal PS, the particle sizes were much smaller (10 vs. 0.3 pm) and the differences be- tween the three versions of the cup and rotor were much less pronounced.

    INTRODUCTION

    ecent research suggests a common morphology R development mechanism for polymer blends in mixers such as twin-screw extruders (1-8). internal batch mixers (2, 9-13) and even cup and rotor batch mixers compounding less than a gram of material (2, 14). However, the final blend morphology in these cup and rotor mixers was coarser, with many large dis- persed phase domains existing even after 20 minutes mixing (2). Our objective here was to find a better small dispersive mixer. Our goal is to compound poly- mer blends in a small cup and rotor mixer so that we can predict the morphology expected in larger, pro- duction-scale extruders without consuming large quantities of polymer. The mixers used in this study are summarized in Table 1.

    The Couette flow geometry in the cup and rotor mixer ( M i n i m ) shown in Fig. l a does not provide the secondary flows needed for good distributive mix- ing. Periodically lifting up the rotor caused some fold- ing of material to occur and improved mixing (2). However, lifting the rotor may not reproduce mixing conditions from one blend to another since not all

    'Current address: Xerox Research Centre of Canada, 2660 Speakman Drive,

    'To whom correspondence should be addressed. Mississauga. ON L5K 2L1. Canada

    materials will adhere to the rotor identically. Marechal et al. added three steel balls to the MiniMAX (Rg. I b) (14). They found a more homogeneous and finer dis- persion comparable to samples taken from a larger in- ternal batch mixer (14). The improved mixing caused by the three balls was attributed to re-orientation of the melt from the top to the bottom of the mixer and from the mixer center to the walls. This introduced extensional flows and a wide range of shear rates needed for effective break-up of the dispersed phase.

    Removing relatively large samples from the Mini- MAX with the balls present was awkward, thereby prompting the design modification shown in Fig. 2. Besides rotating axially, the shaft can move vertically to periodically re-orient the fluid as indicated in Flg. 2c. A larger mixer (10 g capacity) with a similar design to that of our modified MiniMAX was used by Hori- uchi et al. (15, 16). However, in their study no com- parison was made to other mixers.

    This report compares the MiniMAX under three conditions for PS/PP blends: a) original MiniMAX de- sign (MM), b) original MiniMAX with three steel balls (MM-3b). and c) modified MiniMAX (MM-m) design. Nonreactive and reactive blends of PS with poly(di- methylsiloxane) (PDMS) compounded in the mini- mixers were also examined. These blends are more difficult to mix, owing to the large difference in vis- cosities between PS and PDMS. For the PS/PP blends, samples from the mini-mixers were compared to those

    118 POLYMER ENGINEERING AND SCIENCE, JANUARY 2001, Vol. 41, No. 1

  • Improving Polymer Blend Dispersions in Mini-Mixers

    Table 1. Small Scale Mixers for Polymer Blending.

    Mixer Instrument Name (abbreviation) Manufacturer Capacity

    cup and rotor (13 mm cup diameter)

    MiniMAX (MM) ~ ~~

    Custom Scientific Instruments, Cedar Knolls, N.J.

    (0.5 g

    internal batch mixer, roller blades

    vertical, conical twin-screw extruder

    16 mm diameter co-rotating intermeshing twin-screw extruder

    MiniMAX with three steel balls (MM-3b)

    modified MiniMAX (MM-m)

    Haake System 90 (Haake)

    DACA Micro Compounder (DACA)

    PRISM Model CS/16- V2 (1 6 mm TSE)

    Haake Instruments,.

    DACA Instruments,

    Paramus, N.J

    Santa Barbara, Calif. (designed by DSM, Netherlands)

    Blue Bell, Pa. Welding Engineers,

    -50 g

    1-5 g

    up to 5 kglh

    taken from a vertical, conical twin-screw extruder (m. 3). an internal batch mixer (Fig. 4) and a 16 mm diameter co-rotating twin-screw extruder (m. 5). The twin-screw extruder was used in two modes. Besides mixing continuously over the entire length of the screw after feeding the dry-blended pellets from a hopper, the blend components were added through the middle vent port downstream (-5 g of polymer was added), and were mixed in a short section of the entire screw. Interestingly, adding only 5 g of a PS/PP blend in the batch mode generated a dispersion com- parable to blends mixed in the continuous mode.

    To compare the morphology in the various mixers, it is desirable to match the deformation rates. This may be dimcult to do since the material in each mixer may have different levels of shear or extensional flow. An- ticipating that mixing would be most difficult in the M i n i m , we operated it at its maximum rotattional rate, hoping to facilitate breakup of the minor phase. The maximum shear rate in all other mixers was then matched to the MiniMAX by assuming Couette flow in the minimum gap between the mixing element and the wall. Thus, the rotation rates used in the ViafiOuS mixers were based on matching this shear rate. We

    Q. la Original MiniMAX design [MM). b) The MiniMAX with three steel balls (MM-3b). The ball diameters are 3.8 rnrn each The arrows indicate the possibbflow lines of thefruid around the batls.

    POLYMER ENGINEERING AND SCIENCE, JANUARY2001, Vol. 41, No. 1 119

  • Milan Ma& and Christopher W. Macosko

    Ftg. 2. Schematic of the modijled MiniMAX mixer [MM-rn).

    are aware of the simplicity of such an assumption but we also note that morphology development did not change significantly by doubling the rotation rate in a twin-screw extruder (1). Further, the maximum shear rate was used since it is likely to be the dominant dis- turbance causing drop breakup and also because it was used for scaling up to a 51 rnm diameter twin- screw extruder (2). Our ultimate goal was to evaluate the dispersions in these smaller mixers relative to large scale equipment such as this 51 mm diameter twin-screw extruder.

    EXPERIMENTAL

    Materials. The polymers used with their abbrevia- tions and sources are summarized in Table 2. The amine terminated PS (PS16-NH2) was synthesized by Cernohous et al. (1 7). The anhydride functional PDMS (PDMS43-(AnI2) was produced by a hydrosilation reac- tion between commercial telechelic Si-H terminated PDMS (PDMS43-(SiHI2, United Chemical Technolo- gies) and ally1 succinic anhydride (Polysciences) (18). Reaction between the amine and the anhydride on the

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  • Improving Polymer Blend Dispersions in Mini-Mixers

    Q. 3. Cross-sectional view of the DACA conical miniature twin-screw extruder. Qpical sample sizes are 1-5 g . The screw dilwneter is I4 mm at the entrance and 5.5 mm at the exit. Note the recirculation channel which allows for variable mixing times.

    respective homopolymers forms block copolymer in situ at the interface during melt blending, which leads to a reduction in the dispersed phase size and preven- tion of coalescence (18).

    The complex viscosity (q*) versus frequency (w) for the polymers at 200C are shown in Flg. 6. Rheologi- cal measurements were performed using the Rheo- metrics Dynamic Stress Rheometer (DSR) in the oscil- latory shear mode with a parallel plate geometry having a gap of 0.5 mm or a Couette geometry for the PDMS. The strain was kept below 10% to remain in the linear viscoelastic regime.

    Mixers. The MiniMAX mixer (MM) consisted of a heated mixing cup and a rotor and was run at its maxi- mum rotation rate, N = 330 rpm, with 0.3 g of polymer (Fig. la). Given a gap of 2 mm and the cup diameter D, the maximum shear rate, can be calculated:

    TDN gap

    ?mar=-- - 110s-1

    At various times, small samples (-20 mgl were taken from near the cup edge with tweezers and quenched in liquid nitrogen to freeze the morphology. Mixing

    was also performed in the MM mixer by adding three steel balls (MM-3b) having a diameter of 3.8 mi each and samples were taken near the cup edge (Fig. 1 b). It was run at the same rotation rate, and thus, owing to the presence of the balls, in some locations the shear rate will be higher.

    The modified MiniMAX mixer (Fig. 2) had its rotor end threaded into a cylindrical mixing element. The gap between the element and the cup wall was 0.25 mm, which is close to the clearance between the screw flight and the wall in the 16 mm twin-screw ex- truder. Vertical raising and lowering of the rotor was done manually at a rate of about 0.5 mm/s. This will result in a low shear rate in the 0.25 mm gap, but the periodic redistribution and elongational flow Sjhould aid mixing. The intended mixing action is illustrated in Q. 2c. Sample removal was longer compa.red to the MM or MM-3b because of loosening the bolts. This process typically took about 20 s.

    The DACA micro-compounder is a vertical, ccr-rotat-- ing conical twin-screw extruder following a design from the DSM Company (Fig. 3) . A re-circulation channel was used to recycle the melt for more thorough

    POLYMER ENGINEERING AND SCIENCE, JANUARY2001, Vol. 41, No. 1 121

  • Milan Marit. and Christopher W. Macosko

    Fig. 4. The Haake internal batch mixer. The typical sample size is about 50 g whichfills approximately 800' of the mixer volume. The minimum gap between the blade and the wall is 0.5 mm

    mixing. Five grams of polymer was fed into the ex- truder. Mixing times of 5 and 15 minutes and a screw rotation rate of 50 rpm were used.

    The Haake internal batch mixer (Fg. 4) was set to a rotor speed of 80 rpm with 50 g of polymer. At various times, the mixer was stopped, the front face plate was removed, and samples were quickly removed and quenched in liquid nitrogen. The face plate was then reattached and mixing commenced. This entire process took about 15-20 seconds.

    The PRISM 16 mm twin-screw extruder (16 mm TSE) had a clam shell barrel design with a length to diameter ratio of 25: 1 (Fig. 5). One of our goals was to test the mixing capability of this small extruder rela- tive to a larger 51 mm diameter extruder (1, 2). The flow rate was 0.3 kg/h at the screw rotation rate of 27 rpm. This may seem low for an extruder, but the tighter clearances in such a small extruder can pro- duce relatively high shear rates. The maximum and minimum gaps in the 16 mm TSE are 0.2 mm and 3.3 mm, respectively. The screw configuration matched that in a larger 51 mm diameter twin-screw extruder used elsewhere (1 , 2). The extruder was run without a die since its presence may elongate the dispersed phase domains (10). Samples were taken at various locations shown in Fig. 5 after the motor drive was stopped and the bolts removed. The samples were then quenched in liquid nitrogen. This process took < 1 minute, which was somewhat longer than the sam- pling times for the mini-mixers. The results of Sun- dararaj et aL (2) show that these differences in quench- ing times will not effect particle size comparisons.

    Sample Preparation for Microscopy. As dis- cussed above, all samples were quenched within 20 s

    of cessation of mixing in liquid nitrogen with the ex- ception of the 16 mm TSE. The PS/PP blend samples were placed in a vial containing methylene chloride (CH,Cl,) at a concentration of 10 mg of blend/mL sol- vent. CH,Cl, selectively dissolved the PS, thus allow- ing observation of the PP dispersed phase. After 8 h, the solution was centrifuged for 10 minutes to further separate the PP from the PS/CH,Cl, solution. A few drops of the solution were filtered under vacuum through a polytetrafluoroethylene or poly(propy1ene) membrane filter (both had pore sizes = 0.10 pm, Mil- lipore). Then, fresh solvent was also filtered to remove any residual PS particles on the membrane. A section of the membrane was cut and glued onto an alu- minum stub for observation by scanning electron mi- croscopy (SEM) . A similar preparation technique was used by Luciani and Jarrin (19). The sample was sputter-coated with 50 A gold-palladium to make the sample conductive and then viewed with a JEOL 840- I1 HRSEM at an accelerating voltage of 10 kV.

    For the PS/PDMS blends, quenched samples were glued onto an aluminum stub and microtomed at -140C (below the glass transition temperature of PDMS) using a Reichert Ultramicrotome with a freshly cut glass knife. The sample was then placed in h e m e for no more than 5 minutes to selectively remove the dispersed PDMS phase. The sample was viewed with SEM after the same coating procedure described above was applied.

    Image Analysis. To better resolve the minor phase drops from each other and the filter surface (see Fig. 7), the particles were traced onto a transparency and scanned at a resolution of 200 dpi. From the scanned transparency, the areas Ai of R, particles were mea- sured using Ultimage Version 2.6.1 software. The Ai were converted to an equivalent sphere diameter DP At least 300 particles were counted from each sample to ensure reliable statistics. The size of the dispersed phase was characterized by the number average di- ameter, (D)n, and the volume to surface average diam- eter, (D)vs. (D)vs gives the average interfacial area per unit volume, which can be used in reactive blending studies to determine how much block copolymer is at the polymer/polymer interface (18, 20). For the PS/PDMS blends, Di may be underestimated as a re- sult of microtoming or freeze fracturing (21). However, some small particles are also missed during cutting. These effects tend to nullify each other. Applying stereological corrections to some of the non-reactive PS/PDMS blends gave an error of about 10/o in (D), (21) and less for Thus the corrections were not made on the data reported here.

    RESULTS AND DISCUSSION Comparison of PSPP Blends in Cup and Rotor

    Mixers. After 2 and 10 minutes of mixing, the mor- phology in each of the mixers was in various stages of sheet breakup and thread formation (18). The key difference between the mixers was observed at 20

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  • Improving Polymer Blend Dispersions in Mini-Mixers

    direction of flow

    a b C d e

    Sections: a: 9 x 16 mm + 1 x 8 mm forwarding conveying elements b: 14 x 4 mm kneading blocks (60"offset) c: 4 x 16 mm forwarding conveying elements d: 18 x 4 mm kneading blocks (60" offset) e: 2 x 16 mm forwarding conveying elements plus

    f: vent ports (closed) 24 mm metering section

    Details of kneading-. block element

    Q. 5. 7he 16 mm diameter co-rotating twin screw extruder (PRlSM, Welding Engineers). The numbers 1-8 at the top of the e.&ruder indicate the sampling positions. All dimensions are given in mm

    Table 2. Polymers and Viscosities at 200C.

    Polymer (abbreviation) Source viscosity at = 110 s8-I (Pas)

    poly(styrene) (PS) Dow Chemical (Styron 685) 700

    poly(propylene) (PP) Eastman Kodak (PP Tenite) 340

    nonreactive poly(styrene) (PS22) Cernohous 15.3

    amine terminated poly(styrene)

    nonreactive poly(dimethylsi1oxane)

    (PS16-NH2)

    (PDMS47)

    Cernohous (1 7) 6.0

    Aldrich 0.82

    anhydride-terminated poly(dimethylsiloxane) 0.78 - (PDMS43-(An),) modified from PDMS43-(SiH), (1 8)

    POLYMER ENGINEERING AND SCIENCE, JANUARY 2001, Vol. 41, No. 1 123

  • Milan Ma& and Christopher W. Macosko

    J " I ' ' ' ' ' > ' ' I ' ' " " " I ' ' " " " I ' ' " " " I ' ' " " " I -I

    rl*

    i

    0.1 0.01 0.1 1 10 100 1000

    frequency, (a) (rads) Fig. 6. Complex viscosity [q*) of polymers versusfrequency [co) at 200C.

    minutes of mixing (Fig. 7). Some very large elongated particles were still present in the original MM while droplet-type morphologies existed in the MM-3b [(D)us = 1.85 p,m) and the MM-m mixers [(D), = 2.47 pm). Since the software calculates an equivalent sphere di- ameter, was estimated to be about 45 p,m from the sample taken from the MM mixer.

    The observed drop size was compared to Taylor's simple model, which assumes a single Newtonian drop deforming in simple shear flow:

    where r is the interfacial tension, v is the shear rate and the viscosity ratio qr is the ratio of the dispersed phase (qd) to the matrix phase (qm) viscosity (22). For the PS/PP blends, inserting r = 5.0 mN/m (21, 9 = 110 s-l and qr = 0.48 [Fig. 6) into Eq 4 gives D = 0.06 pm. Not surprisingly, this estimate is much lower

    Fg. 7. PP morphology after 20 minutes mixing at 200C in the cup and rotor mixers. The PS matrix has been extracted with methyl- ene chloride leaving only PP particles on the$lter membranes. A PP membrane was used in Fg. 7a while polytetrajluoroethylene membranes were used in Figs. 7b and 7c. Their pore sizes are identical. The samples arefrom a) MinilMAx mixer (MM), b) MiniMAX with three steel balls (MM-3b) and c) modged MiniMAX (MM-m).

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  • Improving Polymer Blend Dispersions in Mini-Mixers

    4 w

    Fg. 8. PP morphology at 200C in the DACA mini-extruder: a) after 5 minutes of miwing and b) after 15 minutes mixing. Fg.

  • Milan Ma& and Christopher W. Mmosko

    Efg. 9. PP morphology at 200C taken at various locations [see Fg. 5) along the 16 rnm twin-screw extruder. mefinest dispersion [(D)us = 1.2 prn) was achieved in the twin-screw despite the relatively short residence time (-3 minutes).

    to samples taken from the batch mixers. The smaller particle sizes observed from samples mixed in the twin-screw extruder is likely due to higher shear rates, the existence of elongational flow and more transients or re-orientations of the fluid. Although only one possible screw configuration was studied here, we recognize the importance of screw design studied more thoroughly elsewhere (4, 6, 7).

    The PS/PP blend morphology when only 5 g of ma- terial was fed near the end of the extruder is indicated in Fig. 10. The average PP particle size of the sample taken from the end of the kneading section was strik- ingly similar to samples taken from the MiniMAX or Haake mixers despite the short residence time (Table 3). The addition or removal of kneading blocks af- fected the particle size. Adding one pair of reversing elements resulted in a lower particle size while adding two pairs of reversing elements or none at all resulted in slightly higher particle sizes.

    PS22fPDMS47 Non-Reactive Blends. The mor- phology of PS/PDMS (80/20) blends is depicted in

    Figs. 1 1 a-c for the three cup and rotor mixers. More particles in the sub-micron range were present for the blends prepared in the MM-3b and MM-m mixers compared to the MM mixer (Fig. 11). In particular, (D)us was much lower after 20 minutes of mixing in the MM-3b compared to the other mixers, although (D), was similar for both the MM-3b and MM-m mix- ers (Table 4). PS16-NH2fPDMS43-(An), Reactive Blends. The

    reactive PS 16-NH2/PDMS43-(An), (80/20) blend mor- phology developed rapidly into small PDMS drops of (D), -0.5 pm within five minutes mixing (Fig. 12a-e, Table 4). The much smaller particles relative to the non-reactive blends ((D)us -10 pm) observed in sam- ples taken from all three mixers suggest reactively formed block copolymer strongly reduced the interfa- cial tension and prevented coalescence of the dis- persed phase (24-26). Gel permeation chromatography (GPC) confirmed the formation of block copolymer as a result of reaction between the PS16-NH, and PDMS43-(An), and this data is presented elsewhere

    126 POLYMER ENGINEERING AND SCIENCE, JANUARY 2001, VOI. 41, NO. 1

  • Improving Polymer Blend Dispersions in Mini-Mixers

    Fg. 10. PP morpholcgy at 200C at various locations [see Fg. 5) of the twin-screw extruder. Here, the extruder was operated in the batch mode with 5 g fed near the end of the extruder. Note that a reversing element was added after kneading section (d) to increase back-miring.

    (18). (D)us was lowest in the MM-3b for the nonreac- tive PS/PDMS blends mixed in the MiniMAX type mixers. However, for the reactive blends (D)us was slightly lower in the MM-m. A disadvantage of the MM-m mixer is the time required [ - 15-20 s) to loosen the clamps and remove the sample. If the reaction studied is very fast (20) or frequent sampling is re- quired, the MM-3b is preferable. However, if larger samples are desired and they are to be removed infre- quently, the MM-m provides the best dispersion of PDMS in PS.

    The MM mixer was the worst small dispersive mixer since the shear rate was zero at the center of the cup and no cross flow existed to re-orient the fluid. The final drop size is caused by Rayleigh instabilities gov- erned by a critical disturbance such as a deformation rate change (2, 27). As the dispersed phase morphol- ogy develops from sheets into threads, thread disinte- gration may be facilitated by such oscillations. In both the MM-3b and MM-m mixers, the flow was periodic

    '

    with large changes in shear rate, leading to smaller drops compared to the MM mixer. The MM-3b ~proba- bly has more rapid transients compared to the MM-m.

    The elongational flow in the MM-3b may have also been superior compared to that in the MM-m. If the threads were thinned prior to breakup, smaller drops would result. Khakhar and Ottino found that drop size decreased more rapidly in steady elongation, hrOp

    in steady shear (28). A simu- lation of the flows in these mini-mixers using klite el- ement techniques would be interesting because it may suggest which mixer has the higher elongational flow component and whether the flow is similar to that studied in other mixers such as an internal batch mixer (29).

    y o . 9 , while %rap

    CONCLUSIONS Simply adding three 3.8-mm steel balls to a cup

    and rotor mixer (0.3 g sample, MiniMax) can signifi- cantly improve the dispersion achieved in polymer

    POLYMER ENGINEERING AND SCIENCE, JANUARY 2001, Vol. 41, No. 1 127

  • Milan M a r k and Christopher W. M a c o s k o

    Fg. 11. PS22/PDMS47 (80/20) non-reactiue blend morphology after 20 minutes mixing in dlfferent MiniMAX mixers at 200C. a) MiniMAX (MM), b) MiniMAx with three steel balls (MM-3b). c) modij?ed MiniMAx (MM-m). More smaller particles I< 1 km) were present in samples takenfrom the MM-3b and the MM-rn mixers compared to the MM mixer. Thefinest dispersion was achieved for the blend mixed in the MM-3b mixer (see Table 4).

    blends. This is valuable for blend research, which often starts with very small amounts of specially syn- thesized functional polymers or block copolymers. The balls primarily help circulate material from the low shear rate center of the cup to high shear rates near the perimeter. They also aid drop breakup by produc- ing higher local shear rate, shear rate transients, and elongational flow. With reactive compatibilizers, how- ever, the differences with and without balls is much

    ACKNOWLEDGMENTS

    The authors wish to thank the Dow Coming Corpo- ration for their financial support, Dr. Jeff Cemohous for donating the PS16-NH2 and PS22, and Mr. Paul Nowatzki for performing some of the rheological meas- urements. We also thank Dr. Olivier Martins of the Monsanto Chemical Co. for the preparation of the blends mixed in the DACA conical twin-screw extruder.

    less significant. With three balls, the cup and rotor mixer produced

    achieved with an internal batch mixer (50 g, Haake) and a recirculating, conical twin screw extruder (5 g,

    blends of PP in PS of the same particle size as that

    DACA] operating at the same maximum shear rate as the empty cup. A 16 mm twin screw extruder pro-

    sion was achieved by feeding just 5 g batchwise into

    of the way down the screws. This method provides a

    1.

    2.

    3. 4.

    5. 6.

    7.

    duced the smallest particles. Nearly the same disper-

    this twin screw through a vent port about two-thirds

    new, simple method for preparing small samples.

    REFERENCES U. Sundararaj, C. W. Macosko, R. J. Rolando, and H. T. Chan, Polyrn Eng. Sci., 32, 1814 (1992). U. Sundararaj, C. W. Macosko, A. Nakayama, and T. Inoue, PoLym. Eng. Sci., 35, 100 (1995). T. Sakai, Adu. Polyrn Tech, 14, 277 (1995). M. A. Huneault, M. F. Champagne, and A. Luciani, Polyrn Eng. Sci., 36, 1694 (1996). D. Bouny and B. D. Favis, Polymer, 39, 1851 (1998). L. Y. Yang, T. G. Smith, and D. Bigio, Int. PoZyrn Proc., 12, 11 (1997). J. K. Kim. S. C. Lee, and H. K. Park, Int. Polyrn Proc., 10, 19 (1995).

    Table 4. PDMS Particle Sizes for Nonreactive and Reactive PSlPDMS Blends in the Cup and Rotor Mixers.

    Mixer Blend Mixing Time (min) 0 ) " (w) u ( l - 4 W"* (wm) MM PS2ZPDMS47 20 6.8 4.4 11.8 MM-3b PS22/PDMS47 20 2.7 1.8 5.2 MM-m PS221PDMS47 20 3.5 3.1 10.9

    MM PS1 6-NHz/PDMS43-(An), 5

    MM-3b PS1 6-NH2/PDMS43-(An), 5

    MM-m PS1 6-NH2/PDMS43-(An), 5

    20

    20

    20

    u IS the standard deviation associated with the number average particle w e .

    0.3 0.2 0.2 0.1

    0.6 0.3

    0.2 0.08 0.3 0.2 0.08 0.3

    0.2 0.06 0.2 0.2 0.05 0.2

    128 POLYMER ENGINEERING AND SCIENCE, JANUARY 2001, Vol. 41, No. I

  • Improving Polymer Blend Dispersions in Mini-Mixers

    5 min. 20 min,

    FSg. 12. Comparison of reactive P S I 6-NH,/PDMS43-(An)2 180/20) blend morphology at 200C afer 5 and 20 minutes of mixin,g in the original MiniMAX l a b ) , MiniMAX plus three balls (MM-3b) (c. d) and the modified MiniMAX (MM-m) (e. 8. Finer dispersions qf PDMS were achieved earlier in blends prepared in the MM-3b and MM-m compared to the MM mixer (see Table 4).

    POLYMER ENGINEERING AND SCIENCE, JANUARY 2001, Vol. 41, No. 1 129

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