Rheometer
A rheometer is a laboratory device used to measure the way in which a viscous fluid flows in response to applied forces. It is used for those fluids which cannot be defined by a single value of viscosity and therefore require more parameters to be set and measured than is the case for a viscometer. It measures the rheology of the fluid.
There are two distinctively different types of rheometers. Rheometers that control the applied shear stress or shear strain are called rotational or shear rheometers, whereas rheometers that apply extensional stress or extensional strain are extensional rheometers.
Rotational or shear type rheometers are usually designed as either a native strain-controlled instrument or a native stress-controlled instrument.
Meanings and origin
The word rheometer comes from the Greek, and means a device for measuring main flow. In the 19th century it was commonly used for devices to measure electric current, until the word was supplanted by galvanometer and ammeter. It was also used for the measurement of the flow of liquids, in medical practice and in civil engineering. This latter use persisted to the second half of the 20th century in some areas. Following the coining of the term rheology the word came to be applied to instruments for measuring the character rather than quantity of flow, and the other meanings are obsolete. The principle and working of rheometers is described in several texts.Types of shear rheometer
Shearing geometries
Four basic shearing planes can be defined according to their geometry,- Couette drag plate flow
- Cylindrical flow
- Poiseuille flow in a tube and
- Plate-plate flow
Linear shear
One example of a linear shear rheometer is the Goodyear linear skin rheometer, which is used to test cosmetic cream formulations, and for medical research purposes to quantify the elastic properties of tissue.The device works by attaching a linear probe to the surface of the tissue under test, a controlled cyclical force is applied, and the resultant shear force measured using a load cell. Displacement is measured using a Linear variable differential transformer. Thus the basic stress–strain parameters are captured and analysed to derive the dynamic spring rate of the tissue under tests.
Pipe or capillary
Liquid is forced through a tube of constant cross-section and precisely known dimensions under conditions of laminar flow. Either the flow-rate or the pressure drop are fixed and the other measured. Knowing the dimensions, the flow-rate can be converted into a value for the shear rate and the pressure drop into a value for the shear stress. Varying the pressure or flow allows a flow curve to be determined. When a relatively small amount of fluid is available for rheometric characterization, a microfluidic rheometer with embedded pressure sensors can be used to measure pressure drop for a controlled flow rate.Capillary rheometers are especially advantageous for characterization of therapeutic protein solutions since it determines the ability to be syringed. Additionally, there is an inverse relationship between the rheometry and solution stability, as well as thermodynamic interactions.
Dynamic shear rheometer
A dynamic shear rheometer, commonly known as DSR is used for research and development as well as for quality control in the manufacturing of a wide range of materials. Dynamic shear rheometers have been used since 1993 when Superpave was used for characterising and understanding high temperature rheological properties of asphalt binders in both the molten and solid state and is fundamental in order to formulate the chemistry and predict the end-use performance of these materials.Rotational cylinder
The liquid is placed within the annulus of one cylinder inside another. One of the cylinders is rotated at a set speed. This determines the shear rate inside the annulus. The liquid tends to drag the other cylinder round, and the force it exerts on that cylinder is measured, which can be converted to a shear stress.One version of this is the Fann V-G Viscometer, which runs at two speeds, and therefore only gives two points on the flow curve. This is sufficient to define a Bingham plastic model which was once widely used in the oil industry for determining the flow character of drilling fluids. In recent years rheometers that spin at 600, 300, 200, 100, 6 & 3 RPM have become more commonplace. This allows for more complex fluids models such as Herschel–Bulkley to be used. Some models allow the speed to be continuously increased and decreased in a programmed fashion, which allows the measurement of time-dependent properties.
Cone and plate
The liquid is placed on horizontal plate and a shallow cone placed into it. The angle between the surface of the cone and the plate is around 1–2 degrees but can vary depending on the types of tests being run. Typically the plate is rotated and the torque on the cone measured. A well-known version of this instrument is the Weissenberg rheogoniometer, in which the movement of the cone is resisted by a thin piece of metal which twists—known as a torsion bar. The known response of the torsion bar and the degree of twist give the shear stress, while the rotational speed and cone dimensions give the shear rate. In principle the Weissenberg rheogoniometer is an absolute method of measurement providing it is accurately set up. Other instruments operating on this principle may be easier to use but require calibration with a known fluid.Cone and plate rheometers can also be operated in an oscillating mode to measure elastic properties, or in combined rotational and oscillating modes.
Basic concepts of shear rheometer
Source:In the past, devices with controlled strain or strain rate were distinguished from rheometers with controlled stress depending on the measuring principle.
In a controlled strain rheometer, the sample is subjected to displacement or speed using a DC motor, and the resulting torque is measured separately using an additional force-torque sensor. The electric current used to generate the displacement or speed of the motor is not used as a measure of the torque acting in the sample. This mode of operation is also referred to as separate motor transducer mode.
- Deflection angle/strain and shear rate are set by the motor based on the position control of the optical encoder in the lower part.
- Sample reaction is measured by an additional force-torque transducer
- The separation of drive and torque measurement has advantages in strain-controlled tests, since the motor's moment of inertia has no influence on the measured torque.
- Limitations of the SMT mode can be found in stress-controlled measurements
- The stress acting in the sample is determined directly from the torque generated in the motor, which is required to deform the sample.
- Deflection angle/strain and shear rate are determined by the use of an optical encoder.
- Single-motor rheometers allow characterization of samples in either strain/shear rate or shear stress-controlled tests
- Since only one actor is required, the single-motor rheometer can be easily combined with additional application-specific accessories that enable the study of material properties in a variety of different applications.
- Limitations may occur from less precise data evaluation in the transient regime of start-up shear tests.
Types of extensional rheometer
The development of extensional rheometers has proceeded more slowly than shear rheometers, due to the challenges associated with generating a homogeneous extensional flow. Firstly, interactions of the test fluid or melt with solid interfaces will result in a component of shear flow, which will compromise the results. Secondly, the strain history of all the material elements must be controlled and known. Thirdly, the strain rates and strain levels must be high enough to stretch the polymeric chains beyond their normal radius of gyration, requiring instrumentation with a large range of deformation rates and a large travel distance.Commercially available extensional rheometers have been segregated according to their applicability to viscosity ranges. Materials with a viscosity range from approximately 0.01 to 1 Pa.s. are best characterized with capillary breakup rheometers, opposed jet devices, or contraction flow systems. Materials with a viscosity range from approximately 1 to 1000 Pa.s. are used in filament stretching rheometers. Materials with a high viscosity >1000 Pa.s., such as polymer melts, are best characterized by constant-length devices.
Extensional rheometry is commonly performed on materials that are subjected to a tensile deformation. This type of deformation can occur during processing, such as injection molding, fiber spinning, extrusion, blow-molding, and coating flows. It can also occur during use, such as decohesion of adhesives, pumping of hand soaps, and handling of liquid food products.
A list of currently and previously marketed commercially available extensional rheometers is shown in the table below.
Commercially available extensional rheometers
| Instrument name | Viscosity Range | Flow Type | Manufacturer | |
| Currently marketed | Rheotens | >100 | Fiber spinning | Goettfert |
| Currently marketed | CaBER | 0.01-10 | Capillary breakup | Thermo Scientific |
| Currently marketed | Sentmanat extensional rheometer | >10000 | Constant length | Xpansion Instruments |
| Currently marketed | FiSER | 1–1000 | Filament stretching | Cambridge Polymer Group |
| Currently marketed | VADER | >100 | Controlled Filament stretching | Rheo Filament |
| Previously marketed | RFX | 0.01-1 | Opposed Jet | Rheometric Scientific |
| Previously marketed | RME | >10000 | Constant length | Rheometric Scientific |
| Previously marketed | MXR2 | >10000 | Constant length | Magna Projects |