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In
continuum mechanics Continuum mechanics is a branch of mechanics that deals with the mechanical behavior of materials modeled as a continuous mass rather than as discrete particles. The French mathematician Augustin-Louis Cauchy was the first to formulate such m ...
, time-dependent viscosity is a property of
fluid In physics, a fluid is a liquid, gas, or other material that continuously deforms (''flows'') under an applied shear stress, or external force. They have zero shear modulus, or, in simpler terms, are substances which cannot resist any shear ...
s whose viscosity changes as a function of time. The most common type of this is thixotropy, in which the viscosity of fluids under continuous shear decreases with time; the opposite is rheopecty, in which viscosity increases with time.


Thixotropic fluids

Some non-Newtonian pseudoplastic fluids show a time-dependent change in viscosity and a non-linear stress-strain behavior in which the longer the fluid undergoes shear stress, the lower its viscosity becomes. A thixotropic fluid is one that takes time to attain viscosity equilibrium when introduced to a step change in shear rate. When shearing in a thixotropic fluid exceeds a certain threshold, it results in a breakdown of the fluid's microstructure and the exhibition of a shear thinning property. Certain gels or fluids that are thick (viscous) under static conditions will begin to thin and flow as they are shaken, agitated, or otherwise stressed. When stress ceases, they regress to their more viscous state after a passage of time. Some thixotropic fluids return to a gel state almost instantly, such as ketchup, and are called pseudoplastic fluids. Others, such as yogurt, take much longer and can become nearly solid. Many gels and colloids are thixotropic materials, exhibiting a stable form at rest but becoming increasingly fluid when agitated.


Examples and Applications

Cytoplasm,
synovial fluid Synovial fluid, also called synovia, elp 1/sup> is a viscous, non-Newtonian fluid found in the cavities of synovial joints. With its egg white–like consistency, the principal role of synovial fluid is to reduce friction between the articular ...
(found in joints between some bones), and the ground substance in the human body are all thixotropic, as is semen. Some varieties of honey (e.g.
heather honey Heather may refer to: Plants *The heather family, or Ericaceae, particularly: **Common heather or ling, ''Calluna'' **Various species of the genus ''Cassiope'' **Various species of the genus ''Erica'' Name * Heather (given name) * Heather (sur ...
)can exhibit thixotropy under certain conditions. Some clays (including bentonite and montmorillonite) exhibit thixotropy, as do certain clay deposits found in caves (slow flowing underground streams tend to layer fine-grained sediment into mudbanks that initially appear dry and solid but then become moist and soupy when dug into or otherwise disturbed).
Drilling mud In geotechnical engineering, drilling fluid, also called drilling mud, is used to aid the drilling of boreholes into the earth. Often used while drilling oil and natural gas wells and on exploration drilling rigs, drilling fluids are also us ...
s used in geotechnical applications can be thixotropic. Semi-solid casting processes such as
thixomoulding Semi-solid metal casting (SSM) is a near net shape variant of die casting. The process is used today with non-ferrous metals, such as aluminium, copper,Young, p. 1. and magnesium, but also can work with higher temperature alloys for which no curren ...
use the thixotropic property of some alloys (mostly light metals, e.g. bismuth) to great advantage. Within certain temperature ranges and with appropriate preparation, these alloys can be injected into molds in a semi-solid state, resulting in a cast with less shrinkage and other superior properties than those cast in normal
injection molding Injection moulding (U.S. spelling: injection molding) is a manufacturing process for producing parts by injecting molten material into a mould, or mold. Injection moulding can be performed with a host of materials mainly including metals (for ...
processes. Solder pastes used in electronics manufacturing printing processes are thixotropic. Many kinds of paints and inks (e.g. the plastisols used in silkscreen textile printing) exhibit thixotropic qualities. In many cases it is desirable for an ink or paint to flow sufficiently fast to form a uniform layer, but then resist further flow (which on vertical surfaces can result in sagging). Thixotropic inks that quickly regain a high viscosity are used in CMYK-type printing processes; this is necessary to protect the structure of the dots for accurate color reproduction. Thread-locking fluid is a thixotropic adhesive that cures anaerobically. Thixotropy has been proposed as a scientific explanation of blood liquefaction miracles such as that of Saint Januarius in Naples. Other examples of thixotropic fluids are gelatine, shortening, cream, xanthan gum solutions, aqueous
iron oxide Iron oxides are chemical compounds composed of iron and oxygen. Several iron oxides are recognized. All are black magnetic solids. Often they are non-stoichiometric. Oxyhydroxides are a related class of compounds, perhaps the best known of whic ...
gels,
pectin Pectin ( grc, πηκτικός ': "congealed" and "curdled") is a heteropolysaccharide, a structural acid contained in the primary lamella, in the middle lamella, and in the cell walls of terrestrial plants. The principal, chemical component of ...
gels,
hydrogenated castor oil Castor wax, also called hydrogenated castor oil, is an opaque, white vegetable wax. It is produced by the hydrogenation of pure castor oil often in the presence of a nickel catalyst to increase the rate of reaction. The hydrogenation of castor oil ...
, carbon black suspension in molten tire rubber, many
floc Floc can refer to: * Farm Labor Organizing Committee, a labor union * Federated Learning of Cohorts (FLoC), a type of web tracking for interest-based advertising * Floc (or flock), flake of precipitate that comes out of solution during the process ...
suspensions, and many colloidal suspensions.


Rheopectic fluids

Basically the mirror of thixotropy, rheopectic fluids are an even rarer class of non-Newtonian fluids that exhibit a time-dependent increase in viscosity; they thicken or solidify when shaken or agitated. The longer they undergo a shearing force, the higher their viscosity becomes, as the microstructure of a rheopectic fluid builds under continuous shearing (possibly due to shear-induced crystallization).


Examples and Applications

Examples of rheopectic fluids include some gypsum pastes, printer inks, and
lubricant A lubricant (sometimes shortened to lube) is a substance that helps to reduce friction between surfaces in mutual contact, which ultimately reduces the heat generated when the surfaces move. It may also have the function of transmitting forces, t ...
s. There is also aggressive ongoing research into rheopectic materials especially with regard to potential uses in shock absorption. In addition to obvious potential military applications, rheopectic padding and armor could offer significant advantages over alternative materials currently in use in a wide range of fields from sporting goods and athletic footwear to skydiving and automobile safety. Additional insights into rheopecty and the possible uses of rheopectic fluids can be gained through further research into the physics of
hysteresis Hysteresis is the dependence of the state of a system on its history. For example, a magnet may have more than one possible magnetic moment in a given magnetic field, depending on how the field changed in the past. Plots of a single component of ...
.


See also

*
Fluid dynamics In physics and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids— liquids and gases. It has several subdisciplines, including ''aerodynamics'' (the study of air and other gases in motion) an ...
* Viscosity


Notes


References

*J. R. Lister and H. A. Stone (1996). Time-dependent viscous deformation of a drop in a rapidly rotating denser fluid. Journal of Fluid Mechanics, 317, pp 275–299 doi:10.1017/S0022112096000754 *Reiner, M., and Scott Blair, Rheology terminology, in ''Rheology'', Vol. 4 pp. 461, (New York: Achedemic Press, 1967) *{{cite web , url = http://scitation.aip.org/content/aip/journal/pof1/8/12/10.1063/1.1761178 , title =Numerical Calculation of Time‐Dependent Viscous Incompressible Flow of Fluid with Free Surface , accessdate = 2014-05-25 Viscosity