Cooling impact on rubber mixing.Heat generation in rubber subjected to mixing in an internal mixer mixer, either of two electronic devices in which two or more signals are combined. In the type of mixer used in radio receivers, radar receivers, and similar systems, a signal is translated upward or downward in frequency. has always been a problem. In general, rubber mixes are poor conductors of heat, and heat generated in the rubber compound due to mixing is not easily conducted away, thus causing heat build up. Very little is reported on the aspect of rubber mixing relevant to heat generation. For instance, a number of references only state the tact that rubber will warm up when subjected to shear shear: see strength of materials. Shear A straining action wherein applied forces produce a sliding or skewing type of deformation. rate/shear stress during processing. This lack of data is surprising in view of the importance of the heating and cooling cycles, which always occur in the production of rubber compounds. Knowing the total energy input in a mixing cycle for a known batch weight, it is easy to calculate the specific energy input (kWh/kg), and this is likely to be more relevant to assessing the state of mix, as well as compounding costs. However, where more accurate measurements are to be made it is necessary to allow for energy dissipated dis·si·pat·ed adj. 1. Intemperate in the pursuit of pleasure; dissolute. 2. Wasted or squandered. 3. Irreversibly lost. Used of energy. as heat and energy losses. This means that it should not be assumed that all the net energy has necessarily contributed to mixing. The work reported here represents an attempt to provide some useful calculations relating to relating to relate prep → concernant relating to relate prep → bezüglich +gen, mit Bezug auf +acc the components of the energy balance for a rubber mixing cycle. The calculations also offer a very effective means of assessing the energy absorbed by the mixed material, energy removed by the cooling system cooling system: see air conditioning; internal-combustion engine; refrigeration. cooling system Apparatus used to keep the temperature of a structure or device from exceeding limits imposed by needs of safety and efficiency. and energy losses; thereby the net power consumption related to, say, a multi-stage or a single-stage mixing cycle. Due to the continued increase in the utilization of silica silica or silicon dioxide, chemical compound, SiO2. It is insoluble in water, slightly soluble in alkalies, and soluble in dilute hydrofluoric acid. Pure silica is colorless to white. , especially in the tire manufacturing industry, questions have been raised about the ability of the conventional multi-stage mixing method to provide an effective and favorable fa·vor·a·ble adj. 1. Advantageous; helpful: favorable winds. 2. Encouraging; propitious: a favorable diagnosis. 3. means of processing silica-filled compounds. In recognition of this, an essential part of this work reported here is to review briefly the work currently being undertaken by Farrel so that reactive reactive /re·ac·tive/ (re-ak´tiv) characterized by reaction; readily responsive to a stimulus. re·ac·tive adj. 1. Tending to be responsive or to react to a stimulus. 2. mixing, involving silica-filled compounds, can be achieved in a reasonable length of time. The reaction between the coupling agent and silica was carried out in the mixer using a specially modified mixing process, namely steady-state, where the reaction time was varied between two, three and four minutes. This article explains why the use of an Intermix in·ter·mix tr. & intr.v. in·ter·mixed, in·ter·mix·ing, in·ter·mix·es To mix or become mixed together. [Back-formation from obsolete intermixt, from Latin mixer, due to its efficient cooling, can provide an efficient means of handling the silica-filled compounds. Importance of cooling The most difficult task in rubber mixing for achieving effective mixing is maintaining a high Mooney viscosity level in the mix so that high shear forces shear force Force acting on a substance in a direction perpendicular to the extension of the substance, as for example the pressure of air along the front of an airplane wing. Shear forces often result in shear strain. can be applied. Such difficulties arise because of the relationship between viscosity ([eta]) and temperature (T): (1) [eta] = A exp exp abbr. 1. exponent 2. exponential (B/T B/T Between B/T Boost and Orbit Transfer Propulsion Systems ) where A and B are constants and (2) [tau] = [eta] * [[gamma].sup.n] where [tau] is shear stress shear stress n. See shear. shear stress A form of stress that subjects an object to which force is applied to skew, tending to cause shear strain. , [gamma] is shear rate Shear rate is a measure of the rate of shear deformation: ![]() For the simple shear case, it is just a gradient of velocity in a flowing material. (which is a measure of the rate at which the rubber is deformed de·formed adj. Distorted in form. ) and n is power law index (for many rubbers, n = 0.2 to 0.3). Equation 1 indicates that upon increasing the temperature, the viscosity will drop. Equation 2 indicates that upon increasing the temperature and thus, by virtue of the temperature dependence of viscosity, the shear stress that can be applied during mixing will therefore be reduced to the point where insufficient dispersive dispersive /dis·per·sive/ (-per´siv) 1. tending to become dispersed. 2. promoting dispersion. mixing can occur. It follows that for effective mixing, the temperature of a given mix should be kept low and must not exceed a particular level during mixing. But the low thermal conductivity thermal conductivity A measure of the ability of a material to transfer heat. Given two surfaces on either side of the material with a temperature difference between them, the thermal conductivity is the heat energy transferred per unit time and per unit of rubber, and the fact that a considerable proportion of the power required for mixing is being transformed into heat, in general, make this requirement of low temperature difficult to achieve. This seems true despite the considerable emphasis that has been placed upon cooling efficiency in the present generation internal mixers. Figure 1 shows the dependency of compound Mooney viscosity on testing temperature. Surface-to-volume ratio It is also important to realize that heat transfer in an internal mixer is proportional proportional values expressed as a proportion of the total number of values in a series. proportional dwarf the patient is a miniature without disproportionate reductions or enlargements of body parts. to the surface area in contact with the mixed material. In view of this, the need to examine the ratio of the cold surface area to the net volume of the machine is of paramount importance in relation to temperature build-up build·up also build-up n. 1. The act or process of amassing or increasing: a military buildup; a buildup of tension during the strike. 2. . With increased machine size, the ratio of surface area to machine volume is decreased. In consequence, the rate of temperature build-up in larger machines will be higher than in smaller machines, and obviously cooling capacity will decrease. Figure 2 shows the calculated ratio of the surface area to the net volume for the different sizes of the Intermix. Figure 2 also indicates that temperature effect in the larger machine may mean that the total shear stress generated in the mixing chamber is below the value calculated from machine geometry. It follows, therefore, that in addition to the genuine response of the compound to shear deformation deformation /de·for·ma·tion/ (de?for-ma´shun) 1. in dysmorphology, a type of structural defect characterized by the abnormal form or position of a body part, caused by a nondisruptive mechanical force. 2. in the internal mixer, the deviation DEVIATION, insurance, contracts. A voluntary departure, without necessity, or any reasonable cause, from the regular and usual course of the voyage insured. 2. of the shear stress from the calculated value can be attributed to the shear heating effect (ref. 1). Reference 1 describes how the original shear stress data of the NR compound were corrected for the effect of shear heating using the following equation: (3) ln [[tau].sub.c] = ln [[tau].sub.m] + b [DELTA]T where [[tau].sub.c] is the corrected shear stress, [[tau].sub.m] is the measured shear stress, b is the coefficient of viscosity coefficient of viscosity n. pl. coefficients of viscosity The degree to which a fluid resists flow under an applied force, measured by the tangential friction force per unit area divided by the velocity gradient under conditions of and [DELTA]T is the temperature rise due to shear heating. Figure 3 shows the flow curves before and after the correction and indicates that the corrected curve gives a better representation of NR compound flow characteristics over the shear rate range of 4 to 100 [s.sup.-1]. [FIGURE 3 OMITTED] Cooling efficiency It is clear, then, that one of the important factors in rubber mixing when assessing the merits of a mixer is the cooling efficiency of the temperature control system. For the temperature of the mix to be accurately controlled, obviously the cooling capacity in the mixer must be efficient enough to counteract heating of the material resulting from the mixing action. Many internal mixers are therefore equipped with water cooling Water cooling is a method of heat removal from components. As opposed to air cooling, water is used as the heat transmitter. Water cooling is commonly used for cooling internal combustion engines in automobiles and electrical generators. , which can also be electrically heated, to all parts of the internal surfaces of the mixer that come into contact with the rubber during the compounding process. More recently, much care has also been taken in arranging efficient cooling passages in the several cooling zones of the mixer by incorporating the following features, for instance, into the design: * Cooling passages to the rotors; * water cooled Refers to a cooling system that uses water. Similar to a car, systems for electronics circulate water in a loop, through a cooling radiator, to all of the heat sources. In personal computers, the hottest devices are the CPU chip and GPU chip (the processor on the display adapter). rotor rotor: see generator; motor, electric. end wear plates; * drilled chamber bodies: * cooling to the plunger; and * cooling to the drop door. As an example, the water flow rates needed in the above regions for a K2A-Mark-5 mixer (49 liters) are given in table 1. Energy balance The logical extension of the cooling efficiency issue discussed above is to determine the level of energy taken away by the cooling water during a rubber mixing cycle. When thermal equilibrium thermal equilibrium The condition under which two substances in physical contact with each other exchange no heat energy. Two substances in thermal equilibrium are said to be at the same temperature. See also thermodynamics. Noun 1. is reached in an internal mixer, the energy balance can be simplified to: (4) E1 - E2 = E3 + E4 where El is energy input by the motor. This can be accurately determined using a watt-hour meter Watt-hour meter An electrical energy meter, that is, an electricity meter that measures and registers the integral, with respect to time, of the power in the circuit in which it is connected. . E2 is electrical loss in the motor and mechanical loss in the drive system (usually about 10% of E1). E3 is energy required to raise the temperature of the batch and is given by: (4a) E3 = [m.sub.1] x specific heat (compound) x [DELTA][T.sub.1] Where [m.sub.1] is batch weight in kg and [DELTA][T.sub.1] ([degrees]C) = T2 - T1 (rubber temperature at discharge - initial temperature). E4 is energy taken away by the cooling water and is given by: (4b) E4 = [m.sub.2] x specific heat (water) x [DELTA][T.sub.2] Where [m.sub.2] (kg) is mass of flowing water (= flow rate x density of water x cycle time) and [DELTA][T.sub.2] ([degrees]C) = T2 -T1 (water outlet temperature - inlet inlet /in·let/ (-let) a means or route of entrance. pelvic inlet the upper limit of the pelvic cavity. thoracic inlet the elliptical opening at the summit of the thorax. temperature). A K2A Mark-5 (chamber net volume capacity 49 liters), which gives reasonably comparable performance to that in considerably larger scale production mixers, was used for calculating the components of the energy-balance equation for a rubber mixing cycle. According to according to prep. 1. As stated or indicated by; on the authority of: according to historians. 2. In keeping with: according to instructions. 3. equation 4a, E3 = 9,878,592 J (2.74 kWh) from inserting values of [m.sub.1] = 36.8 kg, specific heat for rubber compound = 2,237 J/kg[degrees]C and [DELTA][T.sub.1] = 120[degrees]C. Similarly according to equation 4b, E4 = 2.01 kWh from: [m.sub.2] = mass of flowing water in each zone (table 1), cycle time = 195 s, water density = 1 g/[cm.sup.3], specific heat for water = 4,200 J/kg[degrees]C and [DELTA][T.sub.2] ([degrees]C) for each zone. On this basis and at these conditions, the components of equation 4 are then: E1 is energy input by the motor = 5.33 kWh; E2 is electrical losses = 0.58 kWh: E3 is energy required to increase the temperature of the batch = 2.74 kWh; and E4 is energy removed by the cooling water = 2.01 kWh. It can be seen from the above example that about 38% of E1 was removed by cooling (water temperature setting; 30[degrees]C/ 35[degrees]C) during the mixing cycle, and about 51% of E1 was utilized to raise the batch temperature from 24[degrees]C to 144[degrees]C. Figure 4 illustrates the way in which the selection of the circulating cir·cu·late v. cir·cu·lat·ed, cir·cu·lat·ing, cir·cu·lates v.intr. 1. To move in or flow through a circle or circuit: blood circulating through the body. 2. water temperature settings in the temperature control unit (TCU (Transmission Control Unit) A communications control unit controlled by the computer that does not execute internally stored programs. Contrast with front end processor, which executes its own instructions. ) affects the energy balance for a final mix cycle carried out in a laboratory mixer (net volume, 1.8 liters). The significance of this figure is the realization that the proper selection of water temperature in the different zones of the mixer, as long as the desired quality in the product is achieved, will minimize the energy input requirements to mix. [FIGURE 4 OMITTED] Practical examples It may be of interest to conclude the cooling efficiency section by discussing two examples of successful temperature control in the Intermix. In the first, the conversion of a two-stage to a single pass process, and in the second example, the reactive mixing, involving a silica-filled compound. Single pass Due to its design and efficient cooling, the Intermix equipped with the NR5 rotor design is capable of imparting im·part tr.v. im·part·ed, im·part·ing, im·parts 1. To grant a share of; bestow: impart a subtle flavor; impart some advice. 2. a high level of energy into the compound, and thus permitting the conversion of most two pass compounds to a single pass operation. As an example, in one comparison a K2A Intermix mixed three different compounds in a single pass mixing process and then in a two-stage mixing process where a masterbatch and final mix were used to produce the products (ref. 2). The total mixing time to produce the product in either a two-stage mixing process or a single pass mixing process is shown in figure 5. The specific energy input used to produce the product in a single pass mixing process was calculated and compared to that of the two-stage mixing procedure, as clearly shown in figure 6 for the NR compound. The reduced energy usage to produce the product can alone be translated into a significant manufacturing cost saving. In this analysis, product quality was equivalent for both single and multiple pass mixing. [FIGURE 5 OMITTED] Silica mixing The outstanding heat transfer of the cooling system in the Intermix can also be exploited in the formulations that involve reactive mixing at elevated temperatures. Reactive mixing involving silica filled compounds, in which reaction of silica with silane silane or silicon hydride Any of a series of inorganic compounds of silicon and hydrogen with covalent bonds and the general chemical formula SinH(2n + 2). is carried out in the mixer, has become of increasing importance in recent years, both for economic and ecological ecological emanating from or pertaining to ecology. ecological biome see biome. ecological climax the state of balance in an ecosystem when its inhabitants have established their permanent relationships with each reasons. The continued increase in the utilization of silica in passenger tire treads due to improved rolling resistance Rolling resistance, sometimes called rolling friction or rolling drag, is the resistance that occurs when an object such as a ball or tire rolls. It is caused by the deformation of the wheel or tire or the deformation of the ground. and the benefits produced in lower fuel consumption has raised some questions regarding conventional mixing; particularly the practical constraint Constraint A restriction on the natural degrees of freedom of a system. If n and m are the numbers of the natural and actual degrees of freedom, the difference n - m is the number of constraints. of coping with the multi-stage mixing approach. When processing a rubber compound containing high levels of silica and the required silane, special attention has to be paid to the thermal reactions of silane with silica and with the rubber. The silane-silica reaction that must be achieved in the mixer is highly sensitive Adj. 1. highly sensitive - readily affected by various agents; "a highly sensitive explosive is easily exploded by a shock"; "a sensitive colloid is readily coagulated" to the mixing parameters, time and temperature. Increasing the temperature can shorten (audio, compression) Shorten - A form of lossless audio compression. the silane-silica reaction time, but this rise must be limited to below 160[degrees]C to avoid the second reaction of silane with polymer, leading to premature vulcanization vulcanization (vŭl'kənəzā`shən), treatment of rubber to give it certain qualities, e.g., strength, elasticity, and resistance to solvents, and to render it impervious to moderate heat and cold. . The silane-silica reaction is best achieved between 140-160[degrees]C, whereas with temperatures above 160[degrees]C, the silane-polymer reaction becomes active (ref. 3). With silica technology, the rubber compound passes three to four times in the mixer. This multi-pass process technology is needed for two reasons. Firstly, for obtaining easy processing levels of Mooney viscosity in the compound, a good degree of silica silanization must be achieved. Also, the filler fill·er 1 n. One that fills, as: a. Something added to augment weight or size or fill space. b. A composition, especially a semisolid that hardens on drying, used to fill pores, cracks, or holes in wood, plaster, must attain optimum dispersion dispersion, in chemistry dispersion, in chemistry, mixture in which fine particles of one substance are scattered throughout another substance. A dispersion is classed as a suspension, colloid, or solution. in the rubber matrix. Secondly, in a large mixer, especially with limited heat transfer capability, the batch cannot be maintained at a given temperature. Instead, in each pass, the batch is mixed at an elevated temperature for a short time and dropped prematurely, hence avoiding the onset of the thermal reaction of silane with polymer. By way of analogy analogy, in biology, the similarities in function, but differences in evolutionary origin, of body structures in different organisms. For example, the wing of a bird is analogous to the wing of an insect, since both are used for flight. , the good temperature control of the Intermix permits the machine to operate in a specially developed cycle so that efficient mixing involving silica-filled products can be achieved in a reasonable length of time. For the sake of simplicity, the developed cycle is referred to in the next section as a reactive mixing cycle or a steady state mixing cycle. Additionally, assessment of the silanization reaction (silica-silane) was obtained from Mooney measurements. Questions may be raised about the ability of the conventional Mooney test to provide a satisfactory assessment of the level of silica silanization. The basis for this questioning is that a more accurate measurement of the silanization reaction possibly can be obtained by quantifying the strength and amount of filler-filler interaction in the mixed compound (refs. 4 and 5). However, the results obtained from this study have indicated a fair correlation between the level of silica silanization reaction and Mooney viscosity measurements. Experimental A silica filled passenger tire tread tread injury to the coronet of the horse's hoof by treading on it by the opposite hoof, or by another horse when they are being worked in a team. If the coronary matrix is injured there may be a subsequent crack or deformity. containing 80 parts phr of precipitated silica and 14 parts phr of silane X50S was mixed in two-stage, three-stage and four-stage procedures. For the purpose of this study, the formulation formulation /for·mu·la·tion/ (for?mu-la´shun) the act or product of formulating. American Law Institute Formulation selected is given in table 2. Details of the conventional mixing stages and mixing parameters are given in table 3. An attempt to simulate simulate - simulation similar quality and similar level of Mooney reduction as in a multistage mul·ti·stage adj. 1. Functioning in more than one stage: a multistage design project. 2. Relating to or composed of two or more propulsion units. mixing process was also made by using a specially modified mixing process, namely reactive mixing. Details of the mixing stages and mixing parameters for the reactive mixing process are given in table 4. Conventional multi-stage mixing Indications of processability at each stage of the multi-stage mixing processes were obtained from Mooney viscosity measurements. In the two-stage mixing process, the first-stage (MB) viscosity was high, being 108 (ML1+4,125[degrees]C), and thus not adequately milled. To decrease the level of Mooney viscosity from the first masterbatch (MB1), a three-stage mixing procedure was tested where 1/3 of the filler (silica) was added in the second masterbatch (MB2). The mix was prepared in a three-stage mixing process comprising MB1. MB2 and final. This mixing procedure, which follows the general industrial practice, produced nevertheless 72 Mooney in the final mix, which lies near the upper limit of the easy processing range. It is a good compromise if very low viscosity is not necessary. Furthermore, the level of Mooney viscosity of the compound can be reduced further if the precipitated silica is better dispersed dis·perse v. dis·persed, dis·pers·ing, dis·pers·es v.tr. 1. a. To drive off or scatter in different directions: The police dispersed the crowd. b. . In view of this, in the third stage (MB3) of the four-stage mixing procedure, the compound was re-milled for 70 seconds, and the results obtained gave better filler dispersion, as well as better Mooney reduction (table 3). Reactive mixing Thermal efficiency In thermodynamics, the thermal efficiency ( ) is a dimensionless performance measure of a thermal device such as an internal combustion engine, a boiler, or a furnace, for example. of the Intermix and the ability to run it in a
steady-state mixing mode have always been strong pluses for the rubber
compounds involving reactive mixing. Under the steady-state mixing
condition, the mixer power requirement and the batch temperature have
both reached constant values for certain batch size and rotor speed, as
shown in figure 7. This was done by dividing the mixing process into two
parts. In the first part of the mixing cycle the batch was mixed
efficiently at high speeds to reach a good level of dispersion. In the
second part, rotor speed was reduced and held at a level where the heat
dissipation Noun 1. heat dissipation - dissipation of heatchilling, cooling, temperature reduction - the process of becoming cooler; a falling temperature and heat flow to the metal surfaces of the mixer were in equilibrium. [FIGURE 7 OMITTED] A two-stage mixing procedure was employed throughout this study and was used as a basis. The rubber, silica, silane coupling agent and other ingredients were incorporated in the first-stage (MB). Alter allowing the masterbatch (MB) to cool for about three hours, sulfur sulfur or sulphur (sŭl`fər), nonmetallic chemical element; symbol S; at. no. 16; at. wt. 32.06; m.p. 112.8°C; (rhombic), 119.0°C; (monoclinic), about 120°C; (amorphous); b.p. 444.674°C;; sp. gr. at 20°C;, 2. and accelerators were then added and mixed with the MB in the K2A mixer. Since the silanization of the silica is a chemical reaction, a sufficiently high temperature and a reaction time of several minutes are needed to complete this reaction. In this study, the reaction was carried out in the mixer at 150[degrees]C in a specially modified mixing process, namely steady-state, where the reaction time was varied between two, three and four minutes. Basically, the investigation comprised a comparison of the extent of Mooney reduction, as well as the level of filler dispersion under three sets of conditions: * reactive mixing at 150[degrees]C for 120 seconds: * reactive mixing at 150[degrees]C for 180 seconds; and * reactive mixing at 150[degrees]C for 240 seconds. Table 4 shows that there is a good correlation between the degree of silanization process and the level of Mooney reduction in the masterbatch, and consequently the final mix. This article suggests that alter three minutes "Three Minutes" is the 46th episode of Lost. It is the twenty-second episode of the second season. The episode was directed by Stephen Williams, and written by Edward Kitsis and Adam Horowitz. It first aired on May 17, 2006 on ABC. , the modification reaction between the silica surface and silane is completed in the Intermix to a high level, hence reaching optimal Mooney reduction. It also demonstrates that with the improved cooling in the Intermix and the ability to hold the temperature constant for three minutes (or longer) during the modification process, mixing stages can be reduced from three or tour stages to only two stages while maintaining similar Mooney viscosity (figure 8). Our data also show that filler dispersion was at its optimum, and those results will be reported at a later date. Conclusions This article has set out to demonstrate the importance of the cooling system in internal mixers, particularly in the Intermix. In this respect, two examples were discussed. In the first, the conversion of a two-stage mixing process to a single-pass process was discussed. The results obtained indicated that, because of the increased cooling capacity in the NR5 rotors, the conversion from a multi-stage to a single-pass mixing procedure was successfully achieved. In the second example, reactive mixing in the Intermix involving silica filled compounds was evaluated. A good level of correlation between the degree of silanization process and the level of Mooney reduction in the masterbatch and consequently in the final mix was accomplished. The reactive mixing approach used in this work has demonstrated performance advantages over the conventional multi-stage mixing method in many aspects such as better throughput, improved Mooney viscosity and with even greater efficiency. The obvious benefits, such as saving in specific energy input and less material handling, are of significant economic impact to the rubber compound manufacturers who are using or are willing to use the single pass approach and reactive mixing technology. The combination of the heat transfer measurement with the analysis of the energy balance components has provided some useful calculations relating to the level of energy absorbed by product, energy removed by cooling and energy losses. In the example given, it was calculated that the compound absorbed 51% of the input energy, 38% was removed by the cooling system and 11% was losses. The recognition of these parameters is important not only to avoid misusing the energy input and result in cost saving, but as a key step in understanding the concept of rubber mixing in internal mixers.
Table 1--water flow rate in different zones
of a K2A (49L)
Zone Controlling Flow rate, 1/min.
1 Front rotors and 28.9
back rotor 26.1
2 Front wear-plate 15.0
Back wear-plate 15.0
3 Front body 31.6
Back body 24.9
4 Ram weight 21.4
5 Drop door top 11.0
Table 2-tire tread
compound
Ingredients PHR
SBR 115
BR 16
Silica 80
Silane X50S 14
Zinc oxide 3
Stearic acid 2
Other chemicals 8
Table 3--conventional process; two-, three- and
four-stage mixing
Mixing stages Mix- Dump Specific ML
ing temp. energy (1+4)
time ([degrees]C) input 125[degrees]C
(sec.) (kWh/kg)
2-stage
Masterbatch (MB) 150 0.158 108
Final 240 105 0.053 73
Total 80 0.211
320
3-stage
Masterbatch 1 (MB1) 145 0.161 69
MB2 225 150 0.118 100
Final 150 105 0.053 72
Total 80 0.332
455
4-stage
Masterbatch 1 (MB1) 145 0.151 70
MB2 220 145 0.117 101
Re-milled MB3 145 145 0.084 86
Final 70 105 0.051 63
Total 90 0.403
Table 4--reactive mixing; two-stage mixing
Mixing stages Mixing Dump Specific ML
time temp. energy (1+4)
(sec.) ([degrees]C) input 125[degrees]C
(kWh/kg)
2-stage, reactive mixing @ 150[degrees]C for 120s
Masterbatch (MB) 340 150 0.231 93
Final 90 105 0.055 65
Total 430 0.286
2-stage, reactive mixing @ 150[degrees]C for 180s
Masterbatch (MB) 400 150 0.271 88
Final 90 105 0.055 63
Total 490 0.326
2-stage, reactive mixing @ 150[degrees]C for 240s
Masterbatch (MB) 450 150 0.297 87
Final 90 105 0.055 62
Total 540 0.352
Figure 2--surface-to-volume ratio vs. Intermix size
Intermix size
1 = K1 (5.5L)
2 = K2 (20L)
3 = K2A (49L)
4 = K4 (91L)
5 = K5 (143L)
6 = K6 (206L)
7 = K6A (257L)
8 = K7 (306L)
9 = K8 (484L)
Note: Table made from line graph.
References (1.) S.N. Ghafouri and P.K. Freakley, Polymer Testing, vol. 11, p. 101 (1992). (2.) F.J. Borzenski, Asia Rubtech. Expo., New Delhi New Delhi (dĕl`ē), city (1991 pop. 294,149), capital of India and of Delhi state, N central India, on the right bank of the Yamuna River. , India (November 2002). (3.) S. Wolff, Tire Sci. Technol., vol. 15, p. 276 (1987). (4.) S. Wolff; Tyretech, Basel (1993). (5.) L.A.E.M. Reuvekamp, W. Dierkes and J.W.M. Noordermeer, Tire Technol. International (March 2003). |
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) is a dimensionless performance measure of a thermal device such as an internal combustion engine, a boiler, or a furnace, for example.
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