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The '''Deborah number''' ('''De''') is a [[dimensionless number]], often used in [[rheology]] to characterize the fluidity of materials under specific flow conditions. It is based on the premise that given enough time even a solid-like material will flow. The flow characteristics are not inherent properties of the material alone, but a relative property which depends on two fundamentally different characteristic times.
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Formally, the Deborah number is defined as the ratio of the [[relaxation time]] characterizing the time it takes for a material to adjust to applied stresses or deformations<!-- characterizing the intrinsic fluidity of a material: THIS WILL BE A CIRCULAR EXPLANATION-->, and the characteristic time scale of an experiment (or a computer simulation) probing the response of the material. It incorporates both the elasticity and viscosity of the material. At lower Deborah numbers, the material behaves in a more fluidlike manner, with an associated Newtonian viscous flow. At higher Deborah numbers, the material behavior enters the non-Newtonian regime, increasingly dominated by elasticity and demonstrating solidlike behavior.<ref>{{citation|first=M. |last=Reiner |year=1964|journal=Physics Today|volume =17|issue= 1| page= 62 |title=The Deborah Number|doi=10.1063/1.3051374}}</ref><ref>[http://rrc.engr.wisc.edu/deborah.html The Deborah Number]</ref>
 
The equation is thus:
 
:<math> \mathrm{De} = \frac{t_\mathrm{c}}{t_\mathrm{p}}</math>
 
where ''t''<sub>c</sub> refers to the [[Stress relaxation|stress relaxation time]]  (sometimes called the Maxwell relaxation time), and ''t''<sub>p</sub> refers to the time scale of observation.
 
<!--Note that the Deborah number is relevant for materials that flow on long time scales (like a [[Maxwell material|Maxwell fluid]]) but ''not'' for the reverse kind of materials (like the Voigt or [[Kelvin material|Kelvin model]]) that are viscous on short time scales but solid on the long term.-->
 
'''History'''
 
It was originally proposed by [[Markus Reiner]], a professor at [[Technion – Israel Institute of Technology|Technion]] in [[Israel]], inspired by a verse in the [[Bible]], stating "The mountains flowed before the Lord" in a song by prophetess [[Deborah]] ([[Book of Judges|Judges]] 5:5).
 
'''Time-Temperature Superposition'''
 
The Deborah Number is particularly useful in conceptualizing the [[Time–temperature superposition]] principle. Time-Temperature superposition has to do with altering experimental time scales using reference temperatures to extrapolate on the temperature-dependent mechanical properties of [[polymers]]. A material at low temperature with a long experimental or [[relaxation time]] behaves like the same material at high temperature and short experimental or relaxation time if the Deborah number remains the same. This can be particularly useful when working with materials which relax on a long time scale under a certain temperature. The practical application of this idea arises in the [[Williams–Landel–Ferry equation]]. Time-temperature superposition avoids the inefficiency of measuring a polymer’s behavior over long periods of time at a specified temperature by utilizing the Deborah Number.<ref>Rudin, Alfred, and Phillip Choi. The Elements of Polymer Science and Engineering. 3rd. Oxford: Academic Press, 2013. Print. Page 221.</ref>
 
==References==
{{reflist}}
* J.S. Vrentas, C.M. Jarzebski, J.L. Dudda (1975) [http://onlinelibrary.wiley.com/doi/10.1002/aic.690210510/abstract "A Deborah number for diffusion in polymer-solvent systems"], [[AIChE]] Journal 21(5):894&ndash;901, weblink to Wiley Online Library.
 
{{NonDimFluMech}}
 
[[Category:Dimensionless numbers of fluid mechanics]]
[[Category:Fluid dynamics]]

Revision as of 00:55, 22 February 2014

Several of the more common ones are highlighted here. i) Tea Tree Oil- Another natural home remedy to cure the disease is with the use of oil from the tea tree. Sex with an infected partner is best avoided but if unavoidable, it would be prudent to use a condom for protection. t seem to help in trying to provide relief for people who are suffering from prostatitis. Vaginal yeast an infection, which is the most typical form of vaginitis is often referred to as vaginal Candidiasis.

But once having been properly diagnosed, you certainly can get rid of a yeast infection naturally, without going to the doctor ever again. In some patients this might be accompanied by diarrhea. It's for brushing your ferret's teeth (you ARE brushing their teeth, right. Moreover, fat removal surgery can be utilized on women having skin flexibility and the breasts are not extraordinarily big. Dyes and perfumes are found in unusual places such as toilet tissue.

There are 3 main symptoms of a yeast infection, the first is itchiness in the vulva and surrounding areas, it can become so unbearable at times. Another male yeast infection treatment, or rather prevention method involves wearing loosely fitted clothes. This is the most common and simplest way desired to be carried out in gaining pregnant. Penicillin was the first fungus to go to medical school but not the last. There are in fact, alternative, cheap, safe, natural and holistic health practices and methods necessary to permanently eliminate the symptoms of this disease and cure the root internal cause of yeast infection regardless of its type, location, or level of severity.

Though the sudden outbreak often makes one believe they have "caught" a yeast infection, one doesn. People who have experienced fungal infection once are likely to experience it again. A woman's body goes through a number of changes during pregnancy. You will be able to heal and bring balance back to your internal system. Both OTC and prescription treatments will take the same amount of time to cure a yeast infection, but the Monistat combo pack has been shown to relieve symptoms four times faster than the leading prescription treatment.

Patients over the age of 60 are at a greater risk of developing tendon ruptures and tendinitis. One of the most commonly overlooked causes of yeast infections is an actual allergic reaction to foods containing yeast. Soymilk can be an ideal replacement for dairy milk. The moment the suitable situation is available, absolutely no one might keep away from this particular frustrating along with horrible illness. There are two different ways to cure the infection.

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