The objective of on-line rheometry is the rheometrical characterisation of materials during their processing in an industrial environment. The data thus obtained can be used in the monitoring of the process with a view to automatic process control or quality control [1]. In what respects polymer compounding and reactive extrusion in particular, it is crucial that the generated data be sensitive to the morphological evolution (average size of the dispersed phase in immiscible polymer blends, for example), to the thermal-mechanical history (important, for example, in determining the average fibre length in composites) and to the chemical evolution (for example, in in-situ compatibilisation of reactive systems) that occur along the extruder.
The on-line systems developed thus far resort to capillary or slit rheometers that, once inserted between the extruder and the die, are fed by a secondary flow bypassed from the extruder and by a gear pump, which determines the flow rate into the metering zone [2, 3]. One of the rare exceptions is the geometry based on the “partial Couette”, proposed by Dealy, that could be integrated in the die [4]. The main limitations of this type of rheometers are: i) the time-lag in the measurements, that are only possible after the melt flows to the capillary/slit, to which the residence time inside the extruder must be added, ii) the test is a destructive one, i.e., it changes the initial morphology and iii) the instrument is located between the extruder and the die where, under normal conditions, the morphology or chemical reaction will have already achieved steady-state or completed. As a consequence, the available instruments have revealed to be useful for the quality control of processes, but not for tracking the evolution of properties/characteristics along the extruder.
Recently, a system was developed that adapted a capillary rheometry geometry [5] to sample-collecting valves [6], which allows the first and third of the above shortcomings to be overcome, since the material to be characterised is quickly removed and placed in the measuring system, which, in turn, is placed at any location along the extruder.
The present invention refers to an equipment that can be coupled to a rotational rheometer and allows the non-destructive measurement of Theological properties during extrusion, thus overcoming the second shortcoming above. This equipment is based on the working principle of rotational rheometers, according to which the material is located between two plates, in the case of a parallel-plate geometry, or between a plate and a shallow angle cone (lower than 6°, so that cos β, where β is the cone angle, is approximately equal to unity), case of the cone-and-plate geometry.
The latter geometry has the advantage of imparting a constant shear rate to the whole sample and allowing stress relaxation experiments to be performed in a straightforward fashion. Considering steady state and laminar and isothermal flow, neglecting the effect of gravity and inertia, the shear stress is then approximately constant throughout the fluid and is given by [7]
where R is the plate radius and M is the measured torque. The shear rate is then approximately equal to (the errors being typically smaller than 2%):
where ω is the angular frequency. The viscosity is given by the ratio between the shear stress and the shear rate and thus implies the measurement of the torque at different rotation speeds in order for a flow curve to be obtained.
The parallel-plate geometry is a popular alternative to the former in the study of rubbers, molten polymers and highly viscous materials in general, due to the simple sample loading procedure. However, the deformation is not homogeneous, the fluid being submitted to a range of shear rates varying from zero at the centre to a maximum at the rim. Assuming the same simplifications as previously, the shear stress is now given by
Equation (3) implies that in order to determine the shear stress of an unknown fluid, sufficient 1n M data as a function of 1n {dot over (Y)}R (the shear rate at the rim) has to be generated inn order for the derivative to be calculated accurately.
Rotational rheometers that resort to these two geometries allow, in general, an oscillatory strain, usually of a sinusoidal nature, to be induced under controlled conditions, in addition to the steady-state experiments above. This type of dynamical analysis is frequently adopted in the study of the linear viscoelastic behaviour of fluids since in the region of small strains the material functions are independent of the amplitude of the deformation. This implies that these tests are of a non-destructive nature. Thus, quantities like the complex modulus, G*, and its components, the storage modulus, G′, representing the elastic part of the response) and the loss modulus, G″, representing the viscous part of the response, as well as the complex and dynamic viscosities, η* and η′, to be measured [8].
The response to these deformations characterizes physical, e.g., entanglements, and chemical, e.g., crosslinks, interactions only if the maximum amplitude is kept small enough. The limits of linear viscoelastic behaviour may range from less than 1% strain for some weakly structured systems, such as foodstuff, and more than 1000% for some gels. For example, typical maximum strain ranges from 0.05 for soups and low-viscosity emulsions, to 0.1 for paints and chocolates, 0.4 for polymers, 1.0 for margarines and dispersions and 50 to 100 to biopolymer gels and solutions. The commercial instruments currently in use allow experiments to be performed up to angular frequencies in excess of 300 rad/s.
The present invention allows a commercial rheometer head, with the above typical characteristics, to induce the strain and measure the corresponding torque or vice-versa, of samples removed locally from the extruder along its length, in either a parallel-plate or a cone-and-plate geometry. In addition, it is possible to use the software of the instrument, which is capable of calculating automatically the variation of the rheological response as a function of shear strain/stress in order to measure other material functions, such as the ones in small amplitude oscillatory shear.
The on-line rotational/oscillatory accessory that is the object of the present invention aims to keep the general working principles and functionalities of commercial rotational/oscillatory rheometers, whilst coupling it to the cylinder of an extruder. The equipment is installed vertically via insertion in an orifice drilled in a cylinder segment. This has a second horizontally drilled orifice that communicates with the interior of the extruder. The invention is constituted by a hollow rotating cylinder, inside which are two parallel plates, or a cone-and-plate, with upper element rotating/oscillating during an experiment, via the coupling with the head of a commercial rheometer. The lower element is connected with a position transducer placed on its base.
The equipment has three main functions, activated sequentially (see
In order to perform the first function, the equipment resorts to the concept of a sample-collecting device, corresponding to patent 101941 of 1999. The geometry of the sample is obtained by the compression of the material collected in the chamber formed by the upper and lower surfaces, the distance between them being adjustable, and an outer ring that slides in order for the cylinder-shaped sample has a free lateral surface during measurement. The latter is performed by attaching the upper surface to the measuring/rotating head of a commercial controlled-stress rheometer, which has the necessary motor, sensors and control software.
The measurements consist in the rotation or oscillation of the upper plate for varying speeds/frequencies, usually at constant temperature, with the corresponding torque being measured.
The on-line rotational/oscillatory accessory and respective components are illustrated in FIGS. 1 to 4.
Finally,
To the best of the authors knowledge, there are no previous inventions with the same aim. There is a large number of commercial laboratory rotational rheometers, where the sample is loaded manually. Likewise, there are various on-line rheometers (see, for example, patents BP 3921 841.4-.09, BP 42 36 407, EP 04 06 805, U.S. Pat. No. 5,172,585), that are designed to be inserted between the extruder and the die.
In Portuguese patent no. 102163 the concept of on-line capillary rheometry is used coupled to extrusion, with a capillary rheometer inserted in different locations along the extruder. In the present invention, the concept of real time Theological characterisation is recovered, but a different measuring technique is used—rotational/oscillatory rheometry—that provides information on the viscoelastic behaviour of the sample in a non-destructive way (in the case of small-amplitude oscillatory rheometry), unlike capillary rheometry that only measures the viscous properties in a destructive way. This latter capability is fundamental for the analysis of some systems, such as polymer blends, composites and foodstuff.
The on-line rotational/oscillatory equipment (
The upper part of the main body of the rheometer (2) has larger dimensions than the remainder, so that, once inserted in the cylinder segment (1), the whole instrument is vertically immobilised. In turn, the lower part (6) is immobilised inside the main body (2), by means of two rows of spherical stoppers (15). The main body (2) also contains a set of orifices along its lateral wall that are used to set in motion the cleaning ring (5) through the stopper (14), allow the intake of material from the extruder (a, in
The spherical stoppers (15) of the lower support (6) allow the vertical immobilisation of the latter inside the main body (2) in two different positions, defined by the entrances (d, in
The cone/plate (3) and the cleaning ring (5) are inserted inside the body (2) and above the support (6). The body of the measuring/rotating head of the commercial rheometer is coupled to the invention through an adapter (12) and a threaded ring (13). The sensor/actuator of the rheometer is coupled directly to the mast of the cone/plate (3) through its own tightening system.
In
d shows the sample preparation stage. The cleaning ring (5) is moved up and the support (6) is placed in the upper position, i.e., the upper plate/cone and the lower plate are moved to the gap (c) previously defined. The cleaning ring (5) is then moved successively up and down in order to remove the excess material in the free surface of the sample which will then accumulate below the bottom plate. The material is left to equilibrate thermally in the experiment position.
A measurement/run can then be performed (
Once the experiment is finished, the whole rheometer head/part (12)/plate (3) set is removed from the top and the lower plate (4)/support (6)/LVDT (9) from the bottom. The main body remains in place in order to avoid the escape of material from the extruder by the inlet channel (17).
Number | Date | Country | Kind |
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103076 | Feb 2004 | PT | national |