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附录ATwin Screw Extrusion Processing of Energetic MaterialsABSTRACT The continuous processing of various energetic formulations is a challenge thatrequires the apriority characterization of the rheological behavior of the energe-tic formulation, mathematical modeling of the process, a good understanding ofthe structure development aspects and ways of verifying and characterization ofmicrostructural distributions of energetic grains. These steps facilitate the gener-ation of a detailed understanding of the flow and deformation behavior and thethermo-mechanical history that the energetic material will experience in thecontinuous processor. Such work, done prior to the actual continuous processingof the live materials, eliminates or minimizes the subsequent risk associatedwith the precarious trial and error procedures and experimental studies that areprevalent in other industries However, the determination of the physical, rheo-logical and processability characteristics of energetic formulations under variousrelevant sets of operating conditions of the extrusion process, the development,the fabrication and the installation of instrumentation for the characterization ofspecific material properties, the data analysis and the determination of materialparameters, and the mathematical modeling of the thermo-mechanical history ofthe energetic formulations in the extruder and the die are not straightforward.The challenges include the slip at the wall of the viscoplastic suspensions, possi-ble segregation of the binder and the migration of the particles in the transverseto flow direction, the important role played by air, the formation of flow insta-bilities and associated surface and bulk distortions of extrudates, the formationof hot spots, the important role played by the distributive and dispersive mixingof the ingredients as affected by the deformation history and the specific energyinput in the extruder. The quantitative characterizations of the degree of mixed-ness of live propellants and explosives and the particle size and the defect dens-ity distributions of the crystalline particles of the energetic materials are alsonecessary to link the processing history in the extruder to the mechanical andburn rate properties of the processed energetic grains. In this paper some ofthese challenges are reviewed to contribute towards the improved safety of thetwin screw extrusion process and better control of the quality of the energeticgrams. Key words: Extrusion, energetics, twin screw, continuous processingI. INTRODUCTION: Various Government organizations and defense contractors are engaged in thedevelopment of advanced energetic compositions for use in a wide variety ofapplications. Many of these formulations are intended to be processed viacontinuous processing techniques, most commonly the fully intermeshing co-rotating twin screw extrusion process. Continuous processing allows better cont-rol of the microstructure and hence the consistency of the energetic product incomparison to batch processes. The principal factor is the significantly greatersurface to volume ratio of the continuous processor in comparison to the batchprocessor. However, the energetic materials involve very sensitive ingredients,the processability of which in a suspension is always precarious and requirestrict exposure limits in temperature, residence time and stress. Furthermore, thescale up of the processing operation is also not straight forward due to therheological behavior of the compositions and the processability and the physicalproperties of the energetic formulations being principally affected by the veryhigh degree of solid fill of the formulations, which by design needs to approachthe maximum packing fraction of the solid phase. The mathematical modelingtechniques for continuous processing need to take into consideration theirextremely high degree of fill which imparts various solid like characteristics tothe energetic formulations including the development of viscoplasticity and wallslip over and above various phenomena specific to highly filled formulations,including the interlocking of the particles, migration, of the binder in thedirection of the pressure gradient, and the extensive roles played by theentrained air etc. In the following a summary of what we have learned is reviewed and typicalresults are presented.II. RHEOLOGICAL BEHAVIORThe rheological behavior and processability of dilute to concentrated suspend-sions have been the subject of numerous investigations. Information on thedependence of the shear viscosity material function on the filler content, particlesize, particle size distribution, particle shape and orientation in the flow field aresummarized in various reviews (1-7). Until the 1980s investigations of the flowand deformation behavior of concentrated suspensions have been restricted tosolid concentrations, which are below sixty four percent by volume. The major-ity of these studies have utilized the Couette flow (8-11). The Couette flowinvolves the migration of the solid particles and the resulting concentrationgradients (12, 13). Suspensions which are filled at solid loading levels close to the maximumpacking traction ot their solid phase, present special challenges m the characteri-zation of their rheological behavior and mathematical analyses of their contin-uous processability. As shown by Kalyon and coworkers, the behavior of suchmaterials are subject to wall slip in both rotational and capillary rheometers (14,15) and flow instabilities in die flows associated with mat formation and filtra-tion of the binder (16, 17). Such suspensions can exhibit theological dilatancywith an intimate relationship to slip at the wall during flow (18). Since the concentration of solids approaches the maximum packing fraction,the rheological behavior and the processability of highly filled suspensions arevery sensitive to the amount and distribution of air entrained during processing(19). Air entrainment is related to the geometry and operating conditions empl-oyed during processing, especially on the degree of fill distribution in thecontinuous processor (20). In the following various important factors affecting the continuous processingand manufacturability of propellants and explosives will be discussed. Thesefactors include their flow and deformation behavior involving wall slip,flowinstabilities, air entrainment effects, and continuous processing. This traditional technique of systematically changing the surface to volumeratio of the suspension during rheological characterization to indirectly deter-mine the slip velocity is very labor intensive. As an alternative technique fordetermination of wall slip velocities in parallel disk torsional flows, the flowvisualization technique illustrated in Figure 1 can be used. This technique allowsthe determination of the slip velocity and the true deformation rate of the susp-endsion directly (15). The deformation of the marker line is optically recordedas a function of time as the disk at the top rotates. Computerized image analysisof the recorded images generates the velocity of the suspension found adjacentto the wall, Vs a function of time. The slip velocity at the wall, U, can thenbe determined from: = vt - vw (1)where V w is the wall velocity. Wall slip behavior is generally time dependent (29). With increasing durationof deformation, the deformation rate of the suspension decreases, while theshear stress and the wall slip velocity increase. Under typical conditions thesteady state behavior is achieved at which the true deformation rate can only beabout 1/5th of the imposed apparent shear rate. The ramifications include thetime-dependence of the start-up flow in extrusion, and the decreasing of theshear rates and total stains which can be introduced into the suspension in theextruder upon the onset of slip.The typical steady-state slip velocity at the wall versus wall shear stress behav-e ior of energetic suspensions follows the Naviers slip condition shown in Equ-ation 2. The wall slip velocity, U, versus wall shear stress, re, data can be fitted by: U = (2)where ,8 is the Naviers slip coefficient, which for various materials alsodepends on the nature of the walls of the rheometer (21, 22). For the ASRMsolid rocket fuel simulant (a suspension with 76.5 solids) the values of theNaviers slip coefficient, 13 was determined to be 7.4 x 10-4 mm / Pa. s at typicalprocessing conditions (14, 15).The true shear viscosity behavior of concentrated suspensions can then be deter-mined upon the corrections for wall slip. With increasing capillary diameter, atconstant capillary length/diameter ratio, the shear stress increases. For examplefor some solid rocket fuels the data indicate that the suspension flows as a plugabove a wall shear stress value, whereas for some other energetic suspensions,the suspensions exhibit plug flow at wall shear stress values which are smallerthan a critical shear stress value. In summary, various novel rheological charact-erization techniques need to be used to characterize wall slip and then use thedata as part of the mathematical simulation effort. Applications of these techni-ques allow data to be corrected to generate the true rheology and also providethe interface condition i.e., slip velocity versus stress in extrusion and die flows.Flow Instabilities During Processing and Flow of propellants and explosives Pressure driven flows of propellants and explosives can give rise to flow insta-bilities associated with the time-periodic formation of mats of solids in converg-ing flows and the filtration of the binder. Such time-dependent demixing of theingredients of the formulation of highly filled suspensions does afect the qualityof the degree of mixing of the suspension and hence its ultimate properties. It lso renders the continuous processing operation unstable and poses a safety hreat in continuous processing of energetic suspensions (16). The extrudate merging from the die can be resin-rich or poor in a cyclic fashion. At relatively igh screw speeds the pressure before the die can rapidly as affected by dramatic emixing and pulverization of the energetic filler in the continuous processor. Capillary flow experiments can be used to provide a better understanding ofthe flow instabilities of concentrated suspensions occurring in continuous proce-ssing operations (16, 31). Under unstable flow conditions, the average pressurenecessary to extrude the suspension grows unbounded with time, with generallyincreasing amplitude of oscillations. The time periodic oscillations in extrusionpressure are related to the time periodic mechanism of formation of a mat ofsolids at the capillary or die and its break-up. This occurs concomitant with thefiltration of the binder. During the most severe conditions of filtration, the bind-er, containing visible air pockets, emerges from the capillary to form drops thatmomentarily cling to the bottom of the die. The apparent shear rate range in which the flow of the highly filled suspensionis stable can be broadened by increasing the viscosity of the matrix (lower temp-erature), increasing the shear stress at the wall, and through the use of dies with reater diameters. For die flow of an energetic suspension where the suspension lows like a plug with a shear stress dependent slip velocity at the wall, U, the low becomes unstable when the filtration velocity Vm becomes greater than the lip velocity of the plug (I 6, 31). The critical apparent shear rate value for each ie at which the flow instabilities are on-set can be predicted on the basis of the omparison of filtration and wall slip rates (16). Obviously in the processing of propellants and explosives the filtration of thematrix and thus the unstable region should be avoided. Otherwise, the additionalloss of the binder, due to axial migration at solid loading levels that are veryclose to the maximum packing fraction, will render the suspension unprocess-able. The unstable region in converging flows can be avoided by the properselection of the production rate and the geometry of the channel through whichthe suspension is flowing. For example the experimental data and the results ofthe theoretical approach used during the analysis of the propellant used in theAdvanced Shuttle program (ASRM) suggested that the critical apparent shearrate, below which flow instabilities prevail, decreases with increasing channeldiameter. The migration of the particles in the transverse to the flow directionneeds to be assessed also (12, 13, 32).Air Entrainment Effects Since the formulations of propellants and explosives involve volume fractionsof solids which approach the maximum packing fraction of the solid phase, theincorporation of even small concentrations of air, makes a significant differencein the rheological behavior and hence the processability of highly filled suspend- ons (19, 33). In general the suspension samples processed without vacuum can ontain an additional few percent by volume air under ambient conditions. The hear viscosity of the suspension decreases and wall slip velocity values increase ith the incorporation of air into the suspension. The air entrained into an nergetic suspension sample can be studied using x-ray radioscopy and magn- tic resonance imaging micrographs (19). The amount of air entrained into the uspension increases at partially full regions in the continuous processor in omparison to suspension samples collected from completely full sections of thecontinuous processor (20). For example, the density values of samples collectedfrom the reversely configured screw sections of a twin screw extruder (whichnecessitate completely full mixing volume) are greater than those of the samplescollected from the partially full sections of the same extruder i.e., at forwardlyconfigured screw sections (20). The air entrained into the suspension also affects the development and natureof the slip layer (binder rich region found adjacent to the wall) of the suspensionduring die flows. Under moderate die pressures, pockets of air cling to the wallmomentarily and are spread out to be later dragged-on by the bulk of thesuspension. The wall of the die appears to be covered partially with films of airduring extrusion, with the air film continuously being removed and replenished(Figure 3).MICROSTRUCTURAL ANALYSIS OF PROPELLANTS ANDEXPLOSIVES DEGREE OF MIXINGBackground One of the most challenging aspects of any mixing operation, where two ormore identifiable components are brought together, is the characterization of thestate of the mixture i.e., the degree of mixing or the goodness of mixing. In the on-diffusive mixing of a viscous polymeric binder with solid components, the omplete description of the state of the mixture would require the specification f the sizes, shapes, orientations and the positions of the ultimate particles of the components. If the materials of interest are opaque or if transparent barrel sections cannotbe built, the mechanisms of mixing can be studied through post-mortem anal-ysis. In this technique, generally a distinguishable tracer is added into a mixer ina step or pulse fashion. Upon certain duration of mixing, the mixture is systema-tically removed from the mixer and sectioned to allow the investigation of distri- butive and dispersive mixing aspects. Kalyon and co-workers (3 8) have employ- ed color incorporated thermoplastic elastomers, followed by computerized image analysis, to investigate the distributive mixing of thermoplastic elastom- ers in the regular flighted and kneading disc elements of twin screw extruders. On the other hand, the rapid advent of imaging and sensing technology hasfacilitated the introduction of various powerful techniques, including the magne-tic resonance imaging and x-ray based techniques, to the analyses of opaque mixtures. Kalyon et al. (19) have employed magnetic resonance imaging, wide-angle x-ray diffract tometry and x-ray radioscopy. The mixing stateprogressively changes in the mixing volume of a batch or continuous mixer as afunction of residence time. It is, however, possible for some portion of thematerial to be subject to very little mixing action. Thus, it is very important to be able to quantify the degree of mixing.WIDE-ANGLE X-RA Y DIFFRACTION TECHNIQUEThe particular advantage of diffraction analysis is that it discloses the presen-ce of a substance, as that substance actually exists in the sample, and not interms of its constituent chemical elements. If the sample contains more than onecompound/phase that constitute the same chemical elements, all these comp-ounds are disclosed by diffraction analysis. Quantitative analysis is possible,because the intensity of the diffraction pattern of a particular phase in a mixtureof phases depends on the concentration of that phase in the mixture. The relationbetween integrated intensity, Ix, and the volume fraction or concentration, cx,of a phase in a composite can also be determined by WA-XRD. The ratio ofintensities from two phases in a given mixture is independent of absorptioneffects (gm) and varies linearly with concentration: I/I=(K/K)c/c (3)Such normalized measurements can be calibrated with

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