Non-Newtonian fluid

Continuum mechanics

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A non-Newtonian fluid is a fluid whose flow properties are not described by a single constant value of viscosity. Many polymer solutions and molten polymers are non-Newtonian fluids, as are many commonly found substances such as ketchup, starch suspensions, paint, blood and shampoo. In a Newtonian fluid, the relation between the shear stress and the strain rate is linear, passing through the origin, the constant of proportionality being the coefficient of viscosity. In a non-Newtonian fluid, the relation between the shear stress and the strain rate is nonlinear, and can even be time-dependent. Therefore a constant coefficient of viscosity cannot be defined.

Although the concept of viscosity is commonly used to characterize a material, it can be inadequate to describe the mechanical behavior of a substance, particularly non-Newtonian fluids. They are best studied through several other rheological properties which relate the relations between the stress and strain rate tensors under many different flow conditions, such as oscillatory shear, or extensional flow which are measured using different devices or rheometers. The properties are better studied using tensor-valued constitutive equations, which are common in the field of continuum mechanics.

Types of non-Newtonian behavior

Summary

Classification of fluids based on the stress vs. rate of strain relationship.

Comparison of non-Newtonian, Newtonian, and viscoelastic properties

Viscoelastic	Kelvin material	"Parallel" linear combination of elastic and viscous effects
	Anelastic	Material returns to a well-defined "rest shape"
Time-dependent viscosity	Rheopectic	Apparent viscosity increases with duration of stress	Some lubricants, whipped cream
	Thixotropic	Apparent viscosity decreases with duration of stress	Some Clays, Some Drilling Mud, many paints, synovial fluid, Honey under certain conditions
Time-independent viscosity	Shear thickening (dilatant)	Apparent viscosity increases with increased stress	Suspensions of corn starch or sand in water
	Shear thinning (pseudoplastic)	Apparent viscosity decreases with increased stress	Paper pulp in water, latex paint, ice, blood, syrup, molasses
Generalized Newtonian fluids		Viscosity is constant Stress depends on normal and shear strain rates and also the pressure applied on it	Blood plasma, Custard

Shear thickening fluids

Shear thickening fluids are also used in all wheel drive systems utilising a viscous coupling unit for power transmission.

Shear thinning fluid

A familiar example of the opposite, a shear thinning fluid, or pseudoplastic fluid, is paint: one wants the paint to flow readily off the brush when it is being applied to the surface being painted, but not to drip excessively.

Bingham plastic

There are fluids which have a linear shear stress/shear strain relationship which require a finite yield stress before they begin to flow (the plot of shear stress against shear strain does not pass through the origin). These fluids are called Bingham plastics. Several examples are clay suspensions, drilling mud, toothpaste, mayonnaise, chocolate, and mustard.

Rheopectic

There are also fluids whose strain rate is a function of time. Fluids that require a gradually increasing shear stress to maintain a constant strain rate are referred to as rheopectic. An opposite case of this, is a fluid that thins out with time and requires a decreasing stress to maintain a constant strain rate (thixotropic).

Examples

Oobleck

File:Corn speaker.jpg

Oobleck on a subwoofer. Applying force to oobleck, by sound waves in this case, makes the non-Newtonian fluid thicken.

An inexpensive, non-toxic example of a non-Newtonian fluid is a suspension of starch (e.g. cornflour) in water, sometimes called "oobleck" or "ooze" (2 parts corn starch to 1 part water). Uncooked imitation custard, being a suspension of primarily cornflour, has the same properties. The name "oobleck" is derived from the children's book Bartholomew and the Oobleck. A person moving quickly and applying sufficient force with their feet can literally walk across such a liquid.

Glurch

A substance known as "glurch"—a mixture of a borax solution and white glue, and optionally salt—is also commonly used to demonstrate non-Newtonian fluids.

Chilled caramel topping

Another example of this is chilled caramel ice cream topping. The sudden application of force—for example by stabbing the surface with a finger, or rapidly inverting the container holding it—leads to the fluid behaving like a solid rather than a liquid. This is the "shear thickening" property of this non-Newtonian fluid. More gentle treatment, such as slowly inserting a spoon, will leave it in its liquid state. Trying to jerk the spoon back out again, however, will trigger the return of the temporary solid state.

Silly Putty

Silly Putty, is a silicone polymer based suspension which will flow, bounce, or break depending on strain rate.

Ketchup

Ketchup is a thixotropic fluid. Thixotropy means that the fluid viscosity is inversely proportional to the shear rate. In other words, fluid motion is initially difficult to start, but once flowing will continue to do so freely.

See also

• Bingham plastic
• Complex fluid
• Dissipative particle dynamics
• Newtonian fluid
• Herschel–Bulkley fluid
• Navier–Stokes equations
• Pseudoplastic
• Dilatant
• Quicksand
• Rheology
• Superfluids

External links

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