Non-Newtonian fluid
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Non-Newtonian fluid Continuum mechanics
A non-Newtonian fluid is a fluid whose flow properties differ in any way from those of Newtonian fluids. Most commonly the viscosity (measure of a fluid's ability to resist gradual deformation by shear or tensile stresses) of non-Newtonian fluids is dependent on shear rate or shear rate history. However, there are some non-Newtonian fluids with shear-independent viscosity, that nonetheless exhibit normal stress-differences or other non-Newtonian behaviour. Many salt solutions and molten polymers are non-Newtonian fluids, as are many commonly found substances such as ketchup, custard, toothpaste, starch suspensions, paint, blood, and shampoo. In a Newtonian fluid, the relation between the shear stress and the shear 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 shear rate is different, and can even be time-dependent. Therefore, a constant coefficient of viscosity cannot be defined. Although the concept of viscosity is commonly used in fluid mechanics to characterize the shear properties of a fluid, it can be inadequate to describe non-Newtonian fluids. They are best studied through several other rheological properties which relate 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.
Non-Newtonian fluid
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Types of non-Newtonian behaviour Summary
Comparison of non-Newtonian, Newtonian, and viscoelastic properties Viscoelastic
Time-independent viscosity
Kelvin material
Some lubricants, whipped cream "Parallel" linearstic combination of elastic and [1] viscous effects
Thixotropic
Yogurt, xanthan gum solutions, aqueous iron oxide gels, gelatin gels, pectin Apparent viscosity decreases with duration of gels, synovial fluid, hydrogenated castor oil, some clays (including bentonite, [2] and montmorillonite), carbon black suspension in molten tire rubber, some stress drilling muds, many paints, many floc suspensions, many colloidal suspensions
Shear thickening (dilatant)
Apparent viscosity increases with increased [3] stress
Suspensions of corn starch in water, sand in water, Silly Putty
Shear thinning (pseudoplastic)
Apparent viscosity decreases with increased [4][5] stress
Nail polish, whipped cream, ketchup, molasses, syrups, paper pulp in water, latex paint, ice, blood, some silicone oils, some silicone coatings
Generalized Newtonian fluids
Viscosity is constant Stress depends on normal and shear strain rates and also the pressure applied on it
Blood plasma, custard, water
Non-Newtonian fluid
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Shear thinning fluid A familiar example of the opposite, a shear thinning fluid, or pseudoplastic fluid, is wall 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. Note that all thixotropic fluids are extremely shear thinning, but they are significantly time dependent, whereas the colloquial "shear thinning" fluids respond instantaneously to changes in shear rate. Thus, in order to avoid confusion, the latter classification is more clearly termed pseudoplastic .
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. The surface of a Bingham plastic can hold peaks when it is still. By contrast Newtonian fluids have flat featureless surfaces when still.
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 Many common substances exhibit non-Newtonian flows. These include:[6] • • • • •
Soap solutions and cosmetics; Food such as butter, cheese, jam, ketchup, mayonnaise, soup, and yogurt; Natural substances such as magma, lava, gums, and extracts such as vanilla extract; Biological fluids such as blood, saliva, semen, and synovial fluid; Slurries such as cement slurry, emulsions such as mayonnaise, and some kinds of dispersions.
Oobleck An inexpensive, non-toxic example of a non-Newtonian fluid is a suspension of starch (e.g. cornstarch) in water, sometimes called "oobleck" or "ooze" (1 part of water to 1.5–2 parts of corn starch).[8][9] Uncooked imitation custard, being a suspension of primarily cornflour, has the same properties. The name "oobleck" is derived from the Dr. Seuss book Bartholomew and the Oobleck.
Flubber Flubber is a non-Newtonian fluid, easily made from polyvinyl alcohol–based glues and borax, that flows under low stresses but breaks under higher stresses and pressures. This combination of fluid-like and solid-like properties makes it a Maxwell solid. Its behaviour can also be described as being viscoplastic or gelatinous.[10]
Demonstration of a non-Newtonian fluid at Universum in Mexico City
Non-Newtonian fluid
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Chilled caramel topping Another example of this is chilled caramel ice cream topping (so long as it incorporates hydrocolloids such as carrageenan and gellan gum). 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.[11]
Oobleck on a subwoofer. Applying force to oobleck, by sound waves in this case, makes the [7] non-Newtonian fluid thicken.
Silly Putty Silly Putty is a silicone polymer based suspension which will flow, bounce, or break depending on strain rate.
Ketchup Ketchup is a shear thinning fluid.[3][12] Shear thinning means that the fluid viscosity decreases with increasing shear stress. In other words, fluid motion is initially difficult at slow rates of deformation, but will flow more freely at high rates.
Tricks with non-Newtonian fluids A person moving quickly and applying sufficient force with their feet can walk across certain types of non-Newtonian fluid, such as oobleck. People can also put oobleck on a subwoofer to make it thicken and bounce
References [1] Tropea, Alexander L. Yarin, John F. Foss, Publisher: Springer, 9 October 2007, ISBN 3-540-25141-3, ISBN 978-3-540-25141-5, p.676, Google books (http:/ / books. google. co. uk/ books?id=y0xDUAdQAlkC& lpg=PA669& dq=thixotropic& pg=PA661#v=onepage& q=thixotropic& f=false) [2] Springer handbook of experimental fluid mechanics, Cameron Tropea, Alexander L. Yarin, John F. Foss, Publisher: Springer, 9 October 2007, ISBN 3-540-25141-3, ISBN 978-3-540-25141-5, p.661, Google books (http:/ / books. google. co. uk/ books?id=y0xDUAdQAlkC& lpg=PA669& dq=thixotropic& pg=PA661#v=onepage& q=thixotropic& f=false) [3] Pump Application Desk Book, 3rd edition, Paul N. Garay, Prentice Hall, August 1996, ISBN 0-88173-231-1, ISBN 978-0-88173-231-3, p.358, Google books (http:/ / books. google. co. uk/ books?id=pww5cxwitHAC& lpg=PP1& dq=0881732311& pg=PA359#v=snippet& q=thixotropic& f=false) [4] Rheology of Fluid and Semisolid Foods: Principles and Applications, M. A. Rao, Publisher: Springer, 2nd edition, 28 August 2007, ISBN 0-387-70929-0, ISBN 978-0-387-70929-1, p.8, Google books (http:/ / books. google. co. uk/ books?id=BLlmimePW18C& lpg=PA33& dq=shear thinning& pg=PA8#v=snippet& q="shear thinning"& f=false) [5] Emulsions, Foams, and Suspensions: Fundamentals and Applications, Laurier L. Schramm, Publisher: Wiley VCH, 26 July 2005, ISBN 3-527-30743-5, ISBN 978-3-527-30743-2p.173, Google books (http:/ / books. google. co. uk/ books?id=qFi61f1NqNIC& lpg=PA173& dq=pseudoplastic& pg=PA173#v=onepage& q=pseudoplastic& f=false) [7] This demonstration of oobleck is a popular subject for YouTube videos, such as this (http:/ / www. youtube. com/ watch?v=8UwL0ywr7HQ). [8] Oobleck: The Dr. Seuss Science Experiment (http:/ / www. instructables. com/ id/ Oobleck/ ) [9] Outrageous Ooze (http:/ / www. exploratorium. edu/ science_explorer/ ooze. html) [10] Glurch Meets Oobleck (http:/ / www. extension. iastate. edu/ e-set/ science_is_here/ glurch. html). Iowa State University Extension. [11] The Rheology of Caramel (http:/ / etheses. nottingham. ac. uk/ 1837/ 1/ Phd_thesis_Giuseppina_Barra. pdf), Giuseppina Barra, Ph.D. thesis, 2004. [12] Microscopy reveals why ketchup squirts (http:/ / www. rsc. org/ chemistryworld/ News/ 2011/ September/ 02091103. asp), Chemistry World, Sep 2 2011, Royal Society of Chemistry
Non-Newtonian fluid
External links • Classical experiments with Non-Newtonian fluids by the National Committee for Fluid Mechanics (https://www. youtube.com/watch?v=Ol6bBB3zuGc) on YouTube
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