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[[Image:Ferrofluid Magnet under glass edit.jpg|thumb|350px|Ferrofluid on glass, with a magnet underneath.]]
This is a preview for the new '''MathML rendering mode''' (with SVG fallback), which is availble in production for registered users.


A '''ferrofluid''' ([[portmanteau]] of [[ferromagnetic]], and [[fluid]]) is a liquid which becomes strongly magnetized in the presence of a [[magnetic field]]
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Ferrofluids are [[colloidal]] liquids made of [[nanoscale]] [[Ferromagnetism|ferromagnetic]], or [[Ferrimagnetic interaction|ferrimagnetic]], particles suspended in a [[Wiktionary:carrier|carrier]] [[fluid]] (usually an [[organic solvent]] or water).  Each tiny particle is thoroughly coated with a [[surfactant]] to inhibit clumping.  Large ferromagnetic particles can be ripped out of the homogeneous colloidal mixture, forming a separate clump of magnetic dust when exposed to strong magnetic fields. The magnetic attraction of [[nanoparticle]]s is weak enough that the surfactant's [[Van der Waals force]] is sufficient to prevent magnetic clumping or [[agglomeration]].  Ferrofluids usually<ref name="two">{{Cite journal|doi=10.1007/s003390050569|title=First observation of ferromagnetism and ferromagnetic domains in a liquid metal (abstract)|publisher=Applied Physics A: Materials Science & Processing|year=1997|author=T. Albrecht|journal=Applied Physics a Materials Science & Processing|volume=65|page=215|bibcode = 1997ApPhA..65..215A|author-separator=,|author2=C. Bührer|display-authors=2|last3=f&#x000e4;Hnle|first3=M.|last4=Maier|first4=K.|last5=Platzek|first5=D.|last6=Reske|first6=J.|issue=2 }}</ref> do not retain [[magnetization]] in the absence of an externally applied field and thus are often classified as [[Paramagnetism#Superparamagnets|"superparamagnets"]] rather than ferromagnets.
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The difference between ferrofluids and [[magnetorheological fluid]]s (MR fluids) is the size of the particles. The particles in a ferrofluid primarily consist of nanoparticles which are [[suspension (chemistry)|suspended]] by [[Brownian motion]] and generally will not settle under normal conditions. MR fluid particles primarily consist of micrometre-scale particles which are too heavy for Brownian motion to keep them suspended, and thus will settle over time because of the inherent density difference between the particle and its carrier fluid. These two fluids have very different applications as a result.
'''MathML'''
:<math forcemathmode="mathml">E=mc^2</math>


==Description==
<!--'''PNG'''  (currently default in production)
[[File:Ferrofluid poles.jpg|thumb|right|Ferrofluid is the oily substance collecting at the poles of the magnet which is underneath the white dish.]]
:<math forcemathmode="png">E=mc^2</math>


Ferrofluids are composed of nanoscale particles (diameter usually 10 nanometers or less) of  [[magnetite]], [[hematite]] or some other compound containing [[iron]]. This is small enough for thermal agitation to disperse them evenly within a carrier fluid, and for them to contribute to the overall magnetic response of the fluid. This is analogous to the way that the ions in an aqueous [[paramagnetic]] salt solution (such as an aqueous solution of [[copper(II) sulfate]] or [[manganese(II) chloride]]) make the solution paramagnetic. The composition of a typical ferrofluid is about 5% magnetic solids, 10% [[surfactant]] and 85% carrier, by volume<ref>"By Anne Marie Helmenstine, Ph.D."http://chemistry.about.com/[http://chemistry.about.com/od/demonstrationsexperiments/ss/liquidmagnet.htm]</ref>.
'''source'''
:<math forcemathmode="source">E=mc^2</math> -->


Particles in ferrofluids are dispersed in a liquid, often using a [[surfactant]], and thus ferrofluids are [[Colloid|colloidal suspensions]] – materials with properties of more than one state of matter. In this case, the two states of matter are the solid metal and liquid it is in.<ref>[http://education.jlab.org/beamsactivity/6thgrade/vocabulary/index.html Vocabulary List]. Education.jlab.org. Retrieved on 2011-11-23.</ref> This ability to change phases with the application of a magnetic field allows them to be used as [[seal (mechanical)|seals]], [[lubricant]]s, and may open up further applications in future [[nanoelectromechanical systems]].
<span style="color: red">Follow this [https://en.wikipedia.org/wiki/Special:Preferences#mw-prefsection-rendering link] to change your Math rendering settings.</span> You can also add a [https://en.wikipedia.org/wiki/Special:Preferences#mw-prefsection-rendering-skin Custom CSS] to force the MathML/SVG rendering or select different font families. See [https://www.mediawiki.org/wiki/Extension:Math#CSS_for_the_MathML_with_SVG_fallback_mode these examples].


True ferrofluids are stable. This means that the solid particles do not agglomerate or phase separate even in extremely strong magnetic fields. However, the surfactant tends to break down over time (a few years), and eventually the nano-particles will agglomerate, and they will separate out and no longer contribute to the fluid's magnetic response.
==Demos==


The term [[magnetorheological fluid]] (MRF) refers to liquids similar to ferrofluids (FF) that solidify in the presence of a magnetic field. Magnetorheological fluids have [[micrometre]] scale magnetic particles that are one to three orders of magnitude larger than those of ferrofluids.
Here are some [https://commons.wikimedia.org/w/index.php?title=Special:ListFiles/Frederic.wang demos]:


However, ferrofluids lose their magnetic properties at sufficiently high temperatures, known as the [[Curie temperature]].


Ferrofluids also change their resistance according to the following equation:
* accessibility:
** Safari + VoiceOver: [https://commons.wikimedia.org/wiki/File:VoiceOver-Mac-Safari.ogv video only], [[File:Voiceover-mathml-example-1.wav|thumb|Voiceover-mathml-example-1]], [[File:Voiceover-mathml-example-2.wav|thumb|Voiceover-mathml-example-2]], [[File:Voiceover-mathml-example-3.wav|thumb|Voiceover-mathml-example-3]], [[File:Voiceover-mathml-example-4.wav|thumb|Voiceover-mathml-example-4]], [[File:Voiceover-mathml-example-5.wav|thumb|Voiceover-mathml-example-5]], [[File:Voiceover-mathml-example-6.wav|thumb|Voiceover-mathml-example-6]], [[File:Voiceover-mathml-example-7.wav|thumb|Voiceover-mathml-example-7]]
** [https://commons.wikimedia.org/wiki/File:MathPlayer-Audio-Windows7-InternetExplorer.ogg Internet Explorer + MathPlayer (audio)]
** [https://commons.wikimedia.org/wiki/File:MathPlayer-SynchronizedHighlighting-WIndows7-InternetExplorer.png Internet Explorer + MathPlayer (synchronized highlighting)]
** [https://commons.wikimedia.org/wiki/File:MathPlayer-Braille-Windows7-InternetExplorer.png Internet Explorer + MathPlayer (braille)]
** NVDA+MathPlayer: [[File:Nvda-mathml-example-1.wav|thumb|Nvda-mathml-example-1]], [[File:Nvda-mathml-example-2.wav|thumb|Nvda-mathml-example-2]], [[File:Nvda-mathml-example-3.wav|thumb|Nvda-mathml-example-3]], [[File:Nvda-mathml-example-4.wav|thumb|Nvda-mathml-example-4]], [[File:Nvda-mathml-example-5.wav|thumb|Nvda-mathml-example-5]], [[File:Nvda-mathml-example-6.wav|thumb|Nvda-mathml-example-6]], [[File:Nvda-mathml-example-7.wav|thumb|Nvda-mathml-example-7]].
** Orca: There is ongoing work, but no support at all at the moment [[File:Orca-mathml-example-1.wav|thumb|Orca-mathml-example-1]], [[File:Orca-mathml-example-2.wav|thumb|Orca-mathml-example-2]], [[File:Orca-mathml-example-3.wav|thumb|Orca-mathml-example-3]], [[File:Orca-mathml-example-4.wav|thumb|Orca-mathml-example-4]], [[File:Orca-mathml-example-5.wav|thumb|Orca-mathml-example-5]], [[File:Orca-mathml-example-6.wav|thumb|Orca-mathml-example-6]], [[File:Orca-mathml-example-7.wav|thumb|Orca-mathml-example-7]].
** From our testing, ChromeVox and JAWS are not able to read the formulas generated by the MathML mode.


:<math>\rho = Ve^{-B^{2}} + p</math>
==Test pages ==


With:
To test the '''MathML''', '''PNG''', and '''source''' rendering modes, please go to one of the following test pages:
*<math>\rho</math> as the resistance in M<math>\Omega</math>
*[[Displaystyle]]
*V as the Vollema Value, different for each ferrofluid,
*[[MathAxisAlignment]]
*B as the strength of the magnetic field in mT,
*[[Styling]]
*p as the Pietrow constant, currently measured at 0.09912
*[[Linebreaking]]
*[[Unique Ids]]
*[[Help:Formula]]


===Normal-field instability===
*[[Inputtypes|Inputtypes (private Wikis only)]]
When a paramagnetic fluid is subjected to a strong vertical [[magnetic field]], the surface forms a regular pattern of peaks and valleys. This effect is known as the ''normal-field instability''. The instability is driven by the magnetic field; it can be explained by considering which shape of the fluid minimizes the total energy of the system.<ref>Andelman & Rosensweig, pp. 20–21.</ref>
*[[Url2Image|Url2Image (private Wikis only)]]
 
==Bug reporting==
From the point of view of [[magnetic energy]], peaks and valleys are energetically favorable. In the corrugated configuration, the magnetic field is concentrated in the peaks; since the fluid is more easily magnetized than the air, this lowers the magnetic energy. In consequence the spikes of fluid ride the field lines out into space until there is a balance of the forces involved. <ref>Andelman & Rosensweig pp. 21, 23; Fig. 11</ref>
If you find any bugs, please report them at [https://bugzilla.wikimedia.org/enter_bug.cgi?product=MediaWiki%20extensions&component=Math&version=master&short_desc=Math-preview%20rendering%20problem Bugzilla], or write an email to math_bugs (at) ckurs (dot) de .
 
At the same time the formation of peaks and valleys is resisted by [[gravity]] and [[surface tension]]. It costs energy to move fluid out of the valleys and up into the spikes, and it costs energy to increase the surface area of the fluid. In summary, the formation of the corrugations increases the [[specific surface energy|surface free energy]] and the [[gravitational energy]] of the liquid, but reduces the magnetic energy. The corrugations will only form above a critical magnetic [[field strength]], when the reduction in magnetic energy outweighs the increase in surface and gravitation energy terms.<ref>Andelman & Rosensweig p. 21</ref>
 
Ferrofluids have an exceptionally high [[magnetic susceptibility]] and the critical magnetic field for the onset of the corrugations can be realised by a small bar magnet.
 
[[Image:Ferrofluid close.jpg|thumb|[[Macrophotograph]] of ferrofluid influenced by a magnet.]]
 
===Common ferrofluid surfactants===
The [[surfactant]]s used to coat the nanoparticles include, but are not limited to:
 
* [[oleic acid]]
* [[tetramethylammonium hydroxide]]
* [[citric acid]]
* [[soy lecithin]]
 
These [[surfactant]]s prevent the nanoparticles from clumping together, ensuring that the particles do not form aggregates that become too heavy to be held in suspension by [[Brownian motion]]. The magnetic particles in an ideal ferrofluid do not settle out, even when exposed to a strong magnetic, or gravitational field. A surfactant has a [[chemical polarity|polar]] head and non-polar tail (or vice versa), one of which [[adsorption|adsorbs]] to a nanoparticle, while the non-polar tail (or polar head) sticks out into the carrier medium, forming an inverse or regular [[micelle]], respectively, around the particle. [[steric effects|Steric]] repulsion then prevents agglomeration of the particles.
 
While surfactants are useful in prolonging the settling rate in ferrofluids, they also prove detrimental to the fluid's magnetic properties (specifically, the fluid's [[magnetic saturation]]). The addition of surfactants (or any other foreign particles) decreases the [[packing density]] of the ferroparticles while in its activated state, thus decreasing the fluid's on-state [[viscosity]], resulting in a "softer" activated fluid. While the on-state viscosity (the "hardness" of the activated fluid) is less of a concern for some ferrofluid applications, it is a primary fluid property for the majority of their commercial and industrial applications and therefore a compromise must be met when considering on-state viscosity versus the settling rate of a ferrofluid.
 
[[Image:Ferrofluid in magnetic field.jpg|right|thumb|A ferrofluid in a [[magnetic field]] showing normal-field instability caused by a [[neodymium magnet]] beneath the dish]]
 
==Applications==
===Electronic devices===
{{main|ferrofluidic seal}}
Ferrofluids are used to form liquid [[Seal (mechanical)|seals]] around the spinning drive shafts in [[hard disk]]s.  The rotating shaft is surrounded by magnets. A small amount of ferrofluid, placed in the gap between the magnet and the shaft, will be held in place by its attraction
to the magnet. The fluid of magnetic particles forms a barrier which prevents debris from entering the interior of the hard drive. According to engineers at Ferrotec, ferrofluid seals on rotating shafts typically withstand 3 to 4 psi;{{Citation needed|date=July 2011}} additional seals can be stacked to form assemblies capable of higher pressures.
 
===Mechanical engineering===
Ferrofluids have [[friction]]-reducing capabilities. If applied to the surface of a strong enough magnet, such as one made of [[NdFeB]], it can cause the magnet to glide across smooth surfaces with minimal resistance.
 
===Aerospace===
NASA has experimented using ferrofluids in a closed loop as the basis for a spacecraft's [[attitude control]] system.  A [[magnetic field]] is applied to a loop of ferrofluid to change the [[angular momentum]] and influence the rotation of the spacecraft.
 
===Analytical instrumentation===
Ferrofluids have numerous [[optical]] applications because of their [[refractive]] properties; that is, each grain, a [[magnet|micromagnet]], reflects [[light]]. These applications include measuring [[specific viscosity]] of a liquid placed between a [[polarizer]] and an [[analyzer]], illuminated by a [[helium-neon laser]].
 
===Medicine===
In [[medicine]], ferrofluids are used as [[contrast agent]]s for [[magnetic resonance imaging]] and can be used for [[cancer]] detection. The ferrofluids are in this case composed of [[iron oxide]] nanoparticles and called SPION, for "Superparamagnetic Iron Oxide Nanoparticles"
 
There is also much experimentation with the use of ferrofluids in an [[experimental cancer treatment]] called [[magnetic hyperthermia]]. It is based on the fact that a ferrofluid placed in an alternating magnetic field releases [[heat]].
 
===Heat transfer===
An external magnetic field imposed on a ferrofluid with varying susceptibility (e.g., because of a temperature gradient) results in a nonuniform magnetic body force, which leads to a form of [[heat transfer]] called [[thermomagnetic convection]].  This form of heat transfer can be useful when conventional convection heat transfer is inadequate; e.g., in miniature microscale devices or under [[microgravity|reduced gravity]] conditions.
 
Ferrofluids are commonly used in [[loudspeaker]]s to remove heat from the [[voice coil]], and to passively [[damping|damp]] the movement of the cone. They reside in what would normally be the air gap around the voice coil, held in place by the speaker's magnet. Since ferrofluids are paramagnetic, they obey [[Curie's law]], thus become less magnetic at higher temperatures. A strong magnet placed near the voice coil (which produces heat) will attract cold ferrofluid more than hot ferrofluid thus forcing the heated ferrofluid away from the electric voice coil and toward a [[heat sink]]. This is an efficient cooling method which requires no additional energy input.<ref name="one">{{cite web|url=http://64.233.167.104/search?q=cache:suVXfrtIuZkJ:www.sbfisica.org.br/bjp/download/v25/v25a10.pdf+ferrofluid+curie+heat+pump&hl=en&ct=clnk&cd=5&gl=us&lr=lang_en&client=firefox-a|title=New Applications of Heat and Mass Transfer Processes in Temperature Sensitive Magnetic Fluids|accessdate=August 31, 2007|publisher=Brazilian Journal of Physics|year=1995|author=Elmars Blums}}</ref>
 
Ferrofluids of suitable composition can exhibit extremely large enhancement in thermal conductivity (k; ~300% of the base fluid thermal conductivity). The large enhancement in k is due to the efficient transport of heat through percolating nanoparticle paths. Special magnetic nanofluids with tunable thermal conductivity to viscosity ratio can be used as multifunctional ‘smart materials’ that can remove heat and also arrest vibrations (damper). Such fluids may find applications in microfluidic devices and microelectromechanical systems ([[MEMS]]).<ref>{{cite journal|doi=10.1021/jp204827q |title=Tuning of Thermal Conductivity and Rheology of Nanofluids Using an External Stimulus|year=2011|last1=Shima|first1=P. D.|last2=Philip|first2=John|journal=The Journal of Physical Chemistry C|volume=115|issue=41|pages=20097}}</ref>
 
===Optics===
Research is under way to create an [[Ferrofluid mirror|adaptive optics shape-shifting magnetic mirror]] from ferrofluid for Earth-based astronomical [[Optical telescope|telescope]]s.<ref>{{cite news|publisher=New Scientist|title=Morphing mirror could clear the skies for astronomers|date=7 November 2008|author=Jeff Hecht|url=http://www.newscientist.com/article/dn15154-morphing-mirror-could-clear-the-skies-for-astronomers.html?feedId=online-news_rss20}}</ref>
 
Optical filters are used to select different wavelengths of light. The replacement of filters is cumbersome, especially when the wavelength is changed continuously with tunable type of lasers. Optical filters, tunable for differing wavelengths by varying the magnetic field can be built using ferrofluid emulsion.<ref>{{cite journal|doi=10.1088/0957-0233/14/8/314|title=A tunable optical filter|year=2003|last1=Philip|first1=John|last2=Jaykumar|first2=T|last3=Kalyanasundaram|first3=P|last4=Raj|first4=Baldev|journal=Measurement Science and Technology|volume=14|issue=8|pages=1289|bibcode = 2003MeScT..14.1289P }}</ref>
===Art===
Some art and science [[museum]]s have special devices on display that use magnets to make ferrofluids move around specially shaped surfaces in a [[fountain]] show-like fashion to entertain guests. [[Sachiko Kodama]] is known for her ferrofluid [[art]].
 
The Australian electronic rock band, [[Pendulum (band)|Pendulum]], used ferrofluid for the music video for the track, [[Watercolour (Pendulum song)|Watercolour]]. The design house Krafted London was responsible for the ferrofluid FX in the video. The post-metal band [[Isis (band)|Isis]] also uses a ferrofluid in the music-video for 20 Minutes/40 Years.
 
CZFerro, an American art studio, began using ferrofluid in its productions in 2008.  The works consist of ferrofluid displayed in a unique suspension solution.  These works are often used as [[conversation piece]]s for offices and homes.
 
== See also ==
{{portal|physics}}
 
* [[Smart fluid]]
* [[Magnetic field viewing film]]
* [[Magnetorheological fluid]]
* [[Electrorheological fluid]]
* [[Magnetohydrodynamics]]
* [[Magnetic ionic liquid]]
* [[Plasma physics]]
* [[Fluid mechanics]]
* [[Continuum mechanics]]
 
== References ==
{{Reflist|30em}}
 
==Bibliography==
 
* {{ cite book |first=David |last=Andelman |first2=Ronald E. |last2=Rosensweig |chapter=The Phenomenology of Modulated Phases: From Magnetic Solids and Fluids to Organic Films and Polymers |pages=1–56 |editor-first=Yoav |editor-last=Tsori |editor2-first=Ullrich |editor2-last=Steiner |year=2009 |title=Polymers, liquids and colloids in electric fields: interfacial instabilities, orientation and phase transitions |publisher=World Scientific |isbn=978-981-4271-68-4 }}
* {{ cite journal | last = Berger | first = Patricia | year = 1999 | month = July | title = Preparation and properties of an aqueous ferrofluid | journal = Journal of Chemical Education | volume = 76 | issue = 7 | pages = pp. 943–948 | issn = 00219584  | doi = 10.1021/ed076p943 | author-separator = , | author2 = Nicholas B. Adelman | author3 = Katie J. Beckman | author4 = Dean J. Campbell | display-authors = 3 | last5 = Ellis | first5 = Arthur B. | last6 = Lisensky | first6 = George C. }}
 
== External links ==
{{Commons|Ferrofluids}}
 
* [http://www.youtube.com/watch?v=PvtUt02zVAs How ferrofluid works video]
* [http://www.ifs.tohoku.ac.jp/nishiyama-lab/Research.html A comparison of ferrofluid and MR fluid (at the bottom of the page)]
* [http://jchemed.chem.wisc.edu/JCESoft/CCA/CCA2/MAIN/FEFLUID/CD2R1.HTM Chemistry comes alive: Ferrofluid]
* [http://www.ferrofluide.de/ Research project about ferrofluides]
* [http://web.archive.org/web/20040603005615/http://www-theory.mpip-mainz.mpg.de/~hwm/ferro.html Flow behavior of ferrofluids]
* [http://www.photonics.com/Content/ReadArticle.aspx?ArticleID=15447 MIT Explores Ferrofluid Applications]
* [http://www.kodama.hc.uec.ac.jp/protrudeflow/index.html Ferrofluid Sculptures by Sachiko Kodama] [http://video.google.com/videoplay?docid=7932498063864415301 (Google Video)]
* [http://www.dansdata.com/magnets.htm#ff Daniel Rutter has some fun with Ferrofluid]
* [http://www.inventus.at/index.php?id=74 High pressure valve]
* [http://www.flypmedia.com/issues/12/#15/1 Ferrofluid Sculptures] FLYP Media video story on Sachiko Kodama, an artist who works with ferrofluid.
* [http://www.youtube.com/watch?v=21WzdjqAG0s Liquid seal for Sterling piston (video)]
* [http://www.nanomagnetics.us Dynamic Etalon utilizing ferrofluid- image gallery, references, published papers]
* [http://chemistry.about.com/od/demonstrationsexperiments/ss/liquidmagnet.htm FerroFluid Synthesis]
* [http://mrsec.wisc.edu/Edetc/nanolab/ffexp/index.html Interdisciplinary education group: Ferrofluids] (contains videos and a lab for synthesis of ferrofluid)
* [http://voh.chem.ucla.edu/classes/Magnetic_fluids/ Synthesis of an Aqueous Ferrofluid] — instructions in [[PDF]] and [[DOC (computing)|DOC]] format
 
[[Category:Magnetism]]
[[Category:Continuum mechanics]]
[[Category:Plasma physics]]
[[Category:Nanomaterials]]
 
[[cs:Ferrofluid]]
[[de:Ferrofluid]]
[[et:Ferrovedelik]]
[[es:Ferrofluido]]
[[eo:Ferofluaĵo]]
[[fr:Ferrofluide]]
[[it:Ferrofluido]]
[[he:נוזל מגנטי]]
[[ka:ფერომაგნიტური სითხე]]
[[hu:Ferrofluid]]
[[nl:Ferrofluïdum]]
[[ja:磁性流体]]
[[no:Magnetisk væske]]
[[pl:Ferrofluid]]
[[pt:Ferrofluido]]
[[ro:Ferofluid]]
[[ru:Ферромагнитная жидкость]]
[[sv:Ferrofluid]]
[[uk:Феромагнітна рідина]]
[[ur:آہنی مائع]]
[[vi:Nước từ]]
[[zh:铁磁流体]]

Latest revision as of 23:52, 15 September 2019

This is a preview for the new MathML rendering mode (with SVG fallback), which is availble in production for registered users.

If you would like use the MathML rendering mode, you need a wikipedia user account that can be registered here [[1]]

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  • Note: you need not enter a email address (nor any other private information). Please do not use a password that you use elsewhere.

Registered users will be able to choose between the following three rendering modes:

MathML


Follow this link to change your Math rendering settings. You can also add a Custom CSS to force the MathML/SVG rendering or select different font families. See these examples.

Demos

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Test pages

To test the MathML, PNG, and source rendering modes, please go to one of the following test pages:

Bug reporting

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