# Difference between revisions of "Rheological behavior"

## Introduction

The design of the earliest rheometers dictated the design of the earliest rheological experiments.

To measure non-Newtonian fluids, both the shear stress and the shear rate need to be known. Two experiments are common: the first is to control the shear rate, say by using a steady circular rotation with a Couette rheometer; the second is to control the shear stress and measure the shear rate, as in many modern rheometers.

In any case the experimental data is a plot of the shear rate against the shear stress.

Protypical data and common empirical equations that fit the data are given:

 Bingham $\sigma =\sigma _{B}+\eta _{pl}\dot{\gamma }$ Casson $\sigma =\left( \sqrt{\sigma _{C}}+\sqrt{\eta _{pl}\dot{\gamma }} \right)^{2}$ Herchel-Bulkley $\sigma =\sigma _{HB}+\left( \eta _{pl}\dot{\gamma } \right)^{n}$ Morrison, Fig. 2.11

## Pseudoplastic flow

Morrison Fig. 2.7
Rheograms of 20 w% deionized kaolin slurries at several levels of tetrasodium pyrophosphate* addition. The figures on the curves indicate percent TSPP per weight of clay. An extrapolation of the linear region determines an apparent yield point.

## Dilatancy

Morrison Fig. 2.9
Rheograms for a series of curves of deflocculated paper-coating-grade clay, at weight-percent solids indicated, showing development of shear thickening behavior.

## Thixotropy

The dictionary definition of thixotropy is "a property of certain gels which liquefy when subjected to vibratory forces like simple shaking, and then solidify again when left standing." All in all, using scientific terms, thixotropy is the property of some non-Newtonian pseudoplastic fluids to show a time-dependent change in viscosity; the longer the fluid undergoes shear stress, the lower is its viscosity. A thixotropic fluid is a fluid which takes a finite time to attain equilibrium viscosity when introduced to a step change in shear rate. A thixotropic fluid displays a decrease in viscosity over time at a constant shear rate.

Morrison Fig. 2.12
Rheograms of a thixotropic system at different sweep rates. The "up" curves are measured at steadily increasing stresses and the down curves are measured at steadily decreasing shearing stresses. The are of the loop is a measure of thixotropic breakdown. The less rapid the cycling the less the thixotropy as more time is given for healing.

## Quicksand

### What is quicksand?

Quicksand is an interesting natural phenomenon -- it is actually solid ground that has been liquefied by a saturation of water. The "quick" refers to how easily the sand shifts when in this semiliquid state.

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Quicksand is not a unique type of soil; it is usually just sand or another type of grainy soil. Quicksand is nothing more than a soupy mixture of sand and water. It can occur anywhere under the right conditions, according to Denise Dumouchelle, geologist with the United States Geological Survey (USGS).

Quicksand is created when water saturates an area of loose sand and the ordinary sand is agitated. When the water trapped in the batch of sand can't escape, it creates liquefied soil that can no longer support weight. There are two ways in which sand can become agitated enough to create quicksand:

• Flowing underground water - The force of the upward water flow opposes the force of gravity, causing the granules of sand to be more buoyant.
• Earthquakes - The force of the shaking ground can increase the pressure of shallow groundwater, which liquefies sand and silt deposits. The liquefied surface loses strength, causing buildings or other objects on that surface to sink or fall over.

Vibration tends to enhance the quickness, so what is reasonably solid initially may become soft and then quick, according to Dr. Larry Barron of the New South Wales Geological Survey.

The vibration plus the water barrier reduces the friction between the sand particles and causes the sand to behave like a liquid. To understand quicksand, you have to understand the process of liquefaction. When soil liquefies, as with quicksand, it loses strength and behaves like a viscous liquid rather than a solid, according to the Utah Geological Survey. Liquefaction can cause buildings to sink significantly during earthquakes.

While quicksand can occur in almost any location where water is present, there are certain locations where it's more prevalent. Places where quicksand is most likely to occur include:

• Riverbanks
• Beaches
• Lake shorelines
• Near underground springs
• Marshes

### How to get out of quicksand?

1. Avoid quicksand. Any time you are in an area of wet ground, such as along beaches, marshes and rivers, or if you are in a place where underground springs bubble up, you might encounter quicksand. Be on the lookout for ground that appears unstable. Often, you can't detect quicksand just by looking at it. If you step on ground that ripples or shifts beneath you, step backward quickly and smoothly: quicksand usually takes a second or two before it liquefies.
2. Walk softly and carry a big stick. When hiking, especially in an area you suspect contains quicksand, carry a long, stout pole. You can use the pole to test the ground in front of you, and you can also use it to help extract yourself should you sink (see step 9)
3. Drop everything. Because your body is less dense than quicksand, you can't fully sink unless you panic and struggle too much (which will cause the sand to further liquefy) or you're weighed down by something heavy. If you step into quicksand and you're wearing a backpack or carrying something heavy, immediately take off your backpack or drop what you're carrying. If it's possible to get out of your shoes, do so; shoes, especially those with flat, inflexible soles (many boots, for example) create suction as you try to pull them out of quicksand. If you know ahead of time that you are highly likely to encounter quicksand, change out of your boots and either go barefoot or wear shoes that you can pull your feet out of easily.
4. Relax. Quicksand usually isn't more than a couple feet deep, but if you do happen to come across a particularly deep spot, you could very well sink quite quickly down to your waist or chest. If you panic you can sink further, but if you relax, your body's buoyancy will cause you to float.
5. Breathe deeply. Not only will deep breathing help you remain calm, it will also make you more buoyant. Keep as much air in your lungs as possible. It is impossible to "go under" if your lungs are full of air.
6. Get on your back. If you sink up to your hips or higher, bend backward. The more you spread out your weight, the harder it will be to sink. Float on your back while you slowly and carefully extricate your legs. Once your legs are free you can inch yourself to safety by using your arms to slowly and smoothly propel yourself. If you are very near the edge of the quicksand, you can roll to hard ground.
7. Take your time. If you're stuck in quicksand, frantic movements will only hurt your cause. Whatever you do, do it slowly. Slow movements will prevent you from agitating the quicksand—the vibrations caused by rapid movements can turn otherwise relatively firm ground into more quicksand. More importantly, quicksand can react unpredictably to your movements, and if you move slowly you can more easily stop an adverse reaction and, by doing so, avoid getting yourself stuck deeper. You're going to need to be patient; depending on how much quicksand is around you, it could take several minutes or even hours to slowly, methodically get yourself out.
8. Get plenty of rest. Other than panic, exhaustion is your worst enemy. Since it can take a long time to get yourself out of quicksand, be sure to take breaks and just float on your back if you feel your muscles getting tired. If you're in a dangerous tidal zone, however, you may be in a race against time (see warning below).
9. Use a stick (optional). A stick is not necessary to extricate yourself from quicksand, but it can be helpful if you have one.
• As soon as you feel your ankles sink, lay the pole on the surface of the quicksand horizontally behind you.
• Flop onto your back on top of the pole. After a minute or two, you will achieve balance in the quicksand, and you'll stop sinking.
• Work the pole towards a new position, under your hips. The pole will prevent your hips from sinking, so you can slowly pull one leg free, then the other.
• Stay flat on your back with your arms and legs fully touching the quicksand and use the pole as a guide. Inch sideways along the pole to firm ground.

## Novel Materials

Liquid Body Armor The term "liquid body armor" can be a little misleading. For some people, it brings to mind the idea of moving fluid sandwiched between two layers of solid material. However, both types of liquid armor in development work without a visible liquid layer. Instead, they use Kevlar that has been soaked in one of two fluids. The first is a shear-thickening fluid (STF), which behaves like a solid when it encounters mechanical stress or shear. In other words, it moves like a liquid until an object strikes or agitates it forcefully. Then, it hardens in a few milliseconds. This is the opposite of a shear-thinning fluid, like paint, which becomes thinner when it is agitated or shaken.

The fluid is a colloid, made of tiny particles suspended in a liquid. The particles repel each other slightly, so they float easily throughout the liquid without clumping together or settling to the bottom. But the energy of a sudden impact overwhelms the repulsive forces between the particles -- they stick together, forming masses called hydroclusters. When the energy from the impact dissipates, the particles begin to repel one another again. The hydroclusters fall apart, and the apparently solid substance reverts to a liquid.

The fluid used in body armor is made of silica particles suspended in polyethylene glycol. Silica is a component of sand and quartz, and polyethylene glycol is a polymer commonly used in laxatives and lubricants. The silica particles are only a few nanometers in diameter, so many reports describe this fluid as a form of nanotechnology.

To make liquid body armor using shear-thickening fluid, researchers first dilute the fluid in ethanol. They saturate the Kevlar with the diluted fluid and place it in an oven to evaporate the ethanol. The STF then permeates the Kevlar, and the Kevlar strands hold the particle-filled fluid in place. When an object strikes or stabs the Kevlar, the fluid immediately hardens, making the Kevlar stronger. The hardening process happens in mere milliseconds, and the armor becomes flexible again afterward.

In laboratory tests, STF-treated Kevlar is as flexible as plain, or neat, Kevlar. The difference is that it's stronger, so armor using STF requires fewer layers of material. Four layers of STF-treated Kevlar can dissipate the same amount of energy as 14 layers of neat Kevlar. In addition, STF-treated fibers don't stretch as far on impact as ordinary fibers, meaning that bullets don't penetrate as deeply into the armor or a person's tissue underneath. The researchers theorize that this is because it takes more energy for the bullet to stretch the STF-treated fibers.

Magnetorheological Fluid

The other fluid that can reinforce Kevlar armor is magnetorheological (MR) fluid. MR fluids are oils that are filled with iron particles. Often, surfactants surround the particles to protect them and help keep them suspended within the fluid. Typically, the iron particles comprise between 20 and 40 percent of the fluid's volume. The particles are tiny, measuring between 3 and 10 microns. However, they have a powerful effect on the fluid's consistency. When exposed to a magnetic field, the particles line up, thickening the fluid dramatically. The term "magnetorheological" comes from this effect. Rheology is a branch of mechanics that focuses on the relationship between force and the way a material changes shape. The force of magnetism can change both the shape and the viscosity of MR fluids.

The hardening process takes around twenty thousandths of a second. The effect can vary dramatically depending on the composition of the fluid and the size, shape and strength of the magnetic field. For example, MIT researchers started with spherical iron particles, which can slip past one another, even in the presence of the magnetic field. This limits how hard the armor can become, so researchers are studying other particle shapes that may be more effective.

As with STF, you can see what MR fluids look like using ordinary items. Iron filings mixed with oil create a good representation. When no magnetic field is present, the fluid moves easily. But the influence of a magnet can cause the fluid to become thicker or to take a shape other than that of its container. Sometimes, the difference is very visually dramatic, with the fluid forming distinctive peaks, troughs and other shapes. Artists have even used magnets and MR fluids or similar ferrofluids to create works of art.

With the right combination of density, particle shape and field strength, MR fluid can change from a liquid to a very thick solid. As with shear-thickening fluid, this change could dramatically increase the strength of a piece of armor. The trick is activating the fluid's change of state. Since magnets large enough to affect an entire suit would be heavy and impractical to carry around, researchers propose creating tiny circuits running throughout the armor.With the right combination of density, particle shape and field strength, MR fluid can change from a liquid to a very thick solid. As with shear-thickening fluid, this change could dramatically increase the strength of a piece of armor. The trick is activating the fluid's change of state. Since magnets large enough to affect an entire suit would be heavy and impractical to carry around, researchers propose creating tiny circuits running throughout the armor.

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d3o

This is adilatant material developed by the British company d3o Lab. This lightweight material is very flexible and malleable, until subjected to abrupt force, making it useful in protective clothing in situations where the wearer may be exposed to blunt trauma. Recently, the material has been used in the production of protective garments used by US and Canadian skiers during the 2006 Winter Olympic Games. Since 2005 d3o has been incorporated in several product ranges:

- Within the snowsports market d3o has been used by Olympic GS in racing suits for the US and Canadian teams, outerwear in jackets and pants, base layers, beanies and gloves Football (soccer) shin guards and goalkeeping gloves have been developed by Sells Goalkeeper Products

- Integrated into motorcycle gloves for protection of the back of the hands and the knuckles

- Early building blocks of molecular armor

- A d3o skin is available on the Apple Store to protect iPhone 3G.