Dilatant materials

Some very concentrated suspensions are dilatant. If, in such a suspension, the particles are closely packed, then when the suspension is sheared the particles have to adopt a greater spacing in order to move past neighbouring particles and as a result the suspension expands, ie it dilates. Dilatant materials tend to be shear thickening but it does not follow that shear thickening behaviour is necessarily due to dilatancy. Consequently, dilatancy should not be used as a synonym for shear thickening behaviour. 

Polymer rheology can respond nonllnearly to shear rates, as shown in Fig. 3.4. As discussed above, a Newtonian material has a linear relationship between shear stress and shear rate, and the slope of the response Is the shear viscosity. Many polymers at very low shear rates approach a Newtonian response. As the shear rate is increased most commercial polymers have a decrease in the rate of stress increase. That is, the extension of the shear stress function tends to have a lower local slope as the shear rate is increased. This Is an example of a pseudoplastic material, also known as a shear-thinning material. Pseudoplastic materials show a decrease in shear viscosity as the shear rate increases. Dilatant materials Increase in shear viscosity as the shear rate increases. Finally, a Bingham plastic requires an initial shear stress, to, before it will flow, and then it reacts to shear rate in the same manner as a Newtonian polymer. It thus appears as an elastic material until it begins to flow and then responds like a viscous fluid. All of these viscous responses may be observed when dealing with commercial and experimental polymers. 

Figure 4-2. Flow curves for various ideal rheological bodies. A Newtonian liquid. B Pseudoplastic fluid. C Dilatant fluid. D Bingham plastic iii is the yield value). E Pseudoplastic material with a yield value. F Dilatant material with a yield value.

A dilatant material is one in which the viscosity increases with inereas-ing shear rate. True or False ... 

In 2003, Schutt Sports, Inc. was the first to introduce TPU cushioning into American football helmets (Schutt Sports, 2014). The mechanical performance of this inner liner system was described previously (Caswell et al., 2007). The sustained popularity of the inner liner is reflected in the newly available VTD helmets that contain a similar TPU cushioning design with varying thickness and durometer hardness. Additional helmet models have recently included a new engineered TPU material that displays viscoelastic and shear-thickening behavior for enhanced impact protection (Schutt Sports, 2014). The non-Newtonian, dilatant material increases in stiffness with the rate of shear strain, such that the stress and strain characteristics are dependent on the rate of loading. 

Hysteresis Loop n Flow curve for a dilatent (shear thining) material obtained by measurements on a rotational viscometer showing for each value of rate of shear, two values of shearing stress, one for an increasing rate of shear and the other for a decreasing rate of shear. A hysteresis loop characterizes a dilatant material. If no hysteresis loop is obtained, the material is nondilatant. The area within the loop is a measure of... 

Equation (4.55) can be used to determine the laminar flow of plastic materials in pipelines with R being the pipe radius. For pseudoplastic and dilatant materials the power law equation can be used. 

Shear Thickening. Dispersions showing an increase in viscosity with increasing shear rate are called shear thickening or dilatant materials. This type of flow behavior is usually exhibited by dispersions of rigid particles at high concentrations. Thick-film pastes rarely show this type of flow behavior. 

In the cuspation—dilation thermoforming process developed in AustraHa, sheet formation is promoted by expanding blades extending into aU areas and distributing the material uniformly throughout the mold. This process is claimed to deHver uniform distribution of high barrier components of sheet coextmsions and laminations. The process also permits almost vertical side waUs to cups (2). 

It has been shown (16) that a stable foam possesses both a high surface dilatational viscosity and elasticity. In principle, defoamers should reduce these properties. Ideally a spread duplex film, one thick enough to have two definite surfaces enclosing a bulk phase, should eliminate dilatational effects because the surface tension of an iasoluble, one-component layer does not depend on its thickness. This effect has been verified (17). SiUcone antifoams reduce both the surface dilatational elasticity and viscosity of cmde oils as iUustrated ia Table 2 (17). The PDMS materials are Dow Coming Ltd. polydimethylsiloxane fluids, SK 3556 is a Th. Goldschmidt Ltd. siUcone oil, and FC 740 is a 3M Co. Ltd. fluorocarbon profoaming surfactant. 

Other theories proposed dissipation of energy through crack interaction localised heating causing the material to be raised to above the glass transition temperature in the layers of resin between the rubber droplets and a proposal that extension causes dilation so that the free volume is increased and the glass transition temperature drops to below the temperature of the polyblend. 

Khellin is a natural product closely related to the psoralens in which a chromone ring has been substituted for the cou-marin. The plant material has been used since ancient times as a folk remedy modern pharmacologic work has confirmed the bronchio-dilating and antispasmodic activity of khellin. The synthesis outlined below, it should be noted, is selected from a half-dozen or so reported within the last quarter century. 

Dilatant Basically a material with the ability to increase the volume when its shape is changed. A rheological flow characteristic evidenced by an increase in viscosity with increasing rate of shear. The dilatant fluid, or inverted pseudoplastic, is one whose apparent viscosity increases simultaneously with increasing rate of shear for example, the act of stirring creates instantly an increase in resistance to stirring. 

Data for power consumption of Bingham plastic fluids have been reported and correlated by Nagata el alm) and of dilatant fluids by N.AGATA el ul.(2 ) and METZNER et al.i2V). Edwards et ai. M ) have dealt with the mixing of time-dependent thixotropic materials. 

Method 2. Place a 3 0 g. sample of the mixture of amines in a flask, add 6 g. (4-5 ml.) of benzenesulphonyl chloride (or 6 g. of p-toluenesulphonyl chloride) and 100 ml. of a 5 per cent, solution of sodium hydroxide. Stopper the flask and shake vigorously until the odour of the acid chloride has disappeared open the flask occasionally to release the pressure developed by the heat of the reaction. Allow the mixture to cool, and dissolve any insoluble material in 60-75 ml. of ether. If a solid insoluble in both the aqueous and ether layer appears at this point (it is probably the sparingly soluble salt of a primary amine, e.g., a long chain compound of the type C,H5(CHj) NH2), add 25 ml. of water and shake if it does not dissolve, filter it off. Separate the ether and aqueous layers. The ether layer will contain the unchanged tertiary amine and the sulphonamide of the secondary amine. Acidify the alkaline aqueous layer with dilate hydrochloric acid, filter off the sulphonamide of the primary amine, and recrystaUise it from dilute alcohol. Extract the ether layer with sufficient 5 per cent, hydrochloric acid to remove all the tertiary amine present. Evaporate the ether to obtain the sulphonamide of the secondary amine recrystallise it from alcohol or dilute alcohol. Finally, render the hydrochloric acid extract alkaline by the addition of dilute sodium hydroxide solution, and isolate the tertiary amine. 

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