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Fluid

From Wikipedia, the free encyclopedia
Substance which continuously deforms under an applied shear stress, including liquids and gases
This article is about the concept inphysics. For other uses, seeFluid (disambiguation).
Not to be confused withliquid.
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Continuum mechanics
J=Ddφdx{\displaystyle J=-D{\frac {d\varphi }{dx}}}

Inphysics, afluid is aliquid,gas, or other material that may continuouslymove anddeform (flow) under an appliedshear stress, or external force.[1] They have zeroshear modulus, or, in simpler terms, aresubstances which cannot resist anyshear force applied to them.

Although the termfluid generally includes both the liquid and gas phases, its definition varies amongbranches of science. Definitions ofsolid vary as well, and depending on field, some substances can have both fluid and solid properties.[2] Non-Newtonian fluids likeSilly Putty appear to behave similar to a solid when a sudden force is applied.[3] Substances with a very highviscosity such aspitch appear to behave like a solid (seepitch drop experiment) as well. Inparticle physics, the concept is extended to include fluidicmatters other than liquids or gases.[4] A fluid in medicine or biology refers to any liquid constituent of the body (body fluid),[5][6] whereas "liquid" is not used in this sense. Sometimes liquids given forfluid replacement, either by drinking or by injection, are also called fluids[7] (e.g. "drink plenty of fluids"). Inhydraulics,fluid is a term which refers to liquids with certain properties, and is broader than (hydraulic) oils.[8]

Physics

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Fluids display properties such as:

  • lack of resistance to permanent deformation, resisting onlyrelative rates of deformation in a dissipative, frictional manner, and
  • the ability to flow (also described as the ability to take on the shape of the container).

These properties are typically a function of their inability to support ashear stress in staticequilibrium. By contrast, solids respond to shear either witha spring-like restoring force—meaning that deformations are reversible—or they require a certain initialstress before they deform (seeplasticity).

Solids respond with restoring forces to both shear stresses and tonormal stresses, bothcompressive andtensile. By contrast, ideal fluids only respond with restoring forces to normal stresses, calledpressure: fluids can be subjected both to compressive stress—corresponding to positive pressure—and to tensile stress, corresponding tonegative pressure. Solids and liquids both have tensile strengths, which when exceeded in solids createsirreversible deformation and fracture, and in liquids cause the onset ofcavitation.

Both solids and liquids have free surfaces, which cost some amount offree energy to form. In the case of solids, the amount of free energy to form a given unit of surface area is calledsurface energy, whereas for liquids the same quantity is calledsurface tension. In response to surface tension, the ability of liquids to flow results in behaviour differing from that of solids, though at equilibrium both tend tominimise their surface energy: liquids tend to form roundeddroplets, whereas pure solids tend to formcrystals.Gases, lacking free surfaces, freelydiffuse.

Modelling

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Main article:Fluid mechanics

In a solid, shear stress is a function ofstrain, but in a fluid,shear stress is a function ofstrain rate. A consequence of this behavior isPascal's law which describes the role ofpressure in characterizing a fluid's state.

The behavior of fluids can be described by theNavier–Stokes equations—a set ofpartial differential equations which are based on:

The study of fluids isfluid mechanics, which is subdivided intofluid dynamics andfluid statics depending on whether the fluid is in motion.

Classification of fluids

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Depending on the relationship between shear stress and the rate of strain and itsderivatives, fluids can be characterized as one of the following:

  • Newtonian fluids: where stress is directly proportional to rate of strain
  • Non-Newtonian fluids: where stress is not proportional to rate of strain, its higher powers and derivatives.

Newtonian fluids followNewton's law of viscosity and may be calledviscous fluids.

Fluids may be classified by their compressibility:

  • Compressible fluid: A fluid that causes volume reduction or density change when pressure is applied to the fluid or when the fluid becomes supersonic.
  • Incompressible fluid: A fluid that does not vary in volume with changes in pressure or flow velocity (i.e., ρ=constant) such as water or oil.

Newtonian and incompressible fluids do not actually exist, but are assumed to be for theoretical settlement. Virtual fluids that completely ignore the effects of viscosity and compressibility are calledperfect fluids.

See also

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References

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  1. ^"Fluid | Definition, Models, Newtonian Fluids, Non-Newtonian Fluids, & Facts".Encyclopedia Britannica. Retrieved2 June 2021.
  2. ^Thayer, Ann (2000)."What's That Stuff? Silly Putty".Chemical & Engineering News.78 (48). American Chemical Society (published 2000-11-27): 27.doi:10.1021/cen-v078n048.p027.Archived from the original on 2021-05-07.
  3. ^Kroen, Gretchen Cuda (2012-04-11)."Silly Putty for Potholes".Science. Retrieved2021-06-23.
  4. ^Example (in the title):Berdyugin, A. I.; Xu, S. G. (2019-04-12)."Measuring Hall viscosity of graphene's electron fluid".Science.364 (6436). F. M. D. Pellegrino, R. Krishna Kumar, A. Principi, I. Torre, M. Ben Shalom, T. Taniguchi, K. Watanabe, I. V. Grigorieva, M. Polini, A. K. Geim, D. A. Bandurin:162–165.arXiv:1806.01606.Bibcode:2019Sci...364..162B.doi:10.1126/science.aau0685.PMID 30819929.S2CID 73477792.
  5. ^"Fluid (B.1.b.)".Oxford English Dictionary. Vol. IV F–G (1978 reprint ed.). Oxford: Oxford University Press. 1933 [1901]. p. 358. Retrieved2021-06-22.
  6. ^"body fluid".Taber's online – Taber's medical dictionary.Archived from the original on 2021-06-21. Retrieved2021-06-22.
  7. ^Usage example:Guppy, Michelle P B; Mickan, Sharon M; Del Mar, Chris B (2004-02-28).""Drink plenty of fluids": a systematic review of evidence for this recommendation in acute respiratory infections".BMJ.328 (7438):499–500.doi:10.1136/bmj.38028.627593.BE.PMC 351843.PMID 14988184.
  8. ^"What is Fluid Power?".National Fluid Power Association.Archived from the original on 2021-06-23. Retrieved2021-06-23.With hydraulics, the fluid is a liquid (usually oil)
  • Bird, Robert Byron; Stewart, Warren E.; Lightfoot, Edward N. (2007).Transport Phenomena. New York: Wiley, Revised Second Edition. p. 912.ISBN 978-0-471-41077-5.
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