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Slurry

From Wikipedia, the free encyclopedia
Mixture of solids suspended in liquid
This articlemay be too technical for most readers to understand. Pleasehelp improve it tomake it understandable to non-experts, without removing the technical details.(September 2022) (Learn how and when to remove this message)
For the geographical place, seeSlurry, North West.
A slurry composed of glass beads insilicone oil flowing down an inclined plane
Potato starch slurry

Aslurry is a mixture of denser solids suspended in liquid, usually water. The most common use of slurry is as a means of transporting solids or separating minerals, the liquid being a carrier that is pumped on a device such as acentrifugal pump. The size of solid particles may vary from 1micrometre up to hundreds ofmillimetres.The particles may settle below a certain transport velocity and the mixture can behave like aNewtonian ornon-Newtonian fluid. Depending on the mixture, the slurry may be abrasive and/or corrosive.

Examples

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Examples of slurries include:

Calculations

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Determining solids fraction

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To determine the percent solids (or solids fraction) of a slurry from the density of the slurry, solids and liquid[7]

ϕsl=ρs(ρslρl)ρsl(ρsρl){\displaystyle \phi _{sl}={\frac {\rho _{s}(\rho _{sl}-\rho _{l})}{\rho _{sl}(\rho _{s}-\rho _{l})}}}

where

ϕsl{\displaystyle \phi _{sl}} is the solids fraction of the slurry (state by mass)
ρs{\displaystyle \rho _{s}} is the solids density
ρsl{\displaystyle \rho _{sl}} is the slurry density
ρl{\displaystyle \rho _{l}} is the liquid density

In aqueous slurries, as is common in mineral processing, the specific gravity of the species is typically used, and sincespecific gravity of water is taken to be 1, this relation is typically written:

ϕsl=ρs(ρsl1)ρsl(ρs1){\displaystyle \phi _{sl}={\frac {\rho _{s}(\rho _{sl}-1)}{\rho _{sl}(\rho _{s}-1)}}}

even though specific gravity with units tonnes/m3 (t/m3) is used instead of the SI density unit, kg/m3.

Liquid mass from mass fraction of solids

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To determine the mass of liquid in a sample given the mass of solids and the mass fraction:By definition

ϕsl=MsMsl{\displaystyle \phi _{sl}={\frac {M_{s}}{M_{sl}}}}

therefore

Msl=Msϕsl{\displaystyle M_{sl}={\frac {M_{s}}{\phi _{sl}}}}

and

Ms+Ml=Msϕsl{\displaystyle M_{s}+M_{l}={\frac {M_{s}}{\phi _{sl}}}}

then

Ml=MsϕslMs{\displaystyle M_{l}={\frac {M_{s}}{\phi _{sl}}}-M_{s}}

and therefore

Ml=1ϕslϕslMs{\displaystyle M_{l}={\frac {1-\phi _{sl}}{\phi _{sl}}}M_{s}}

where

ϕsl{\displaystyle \phi _{sl}} is the solids fraction of the slurry
Ms{\displaystyle M_{s}} is the mass or mass flow of solids in the sample or stream
Msl{\displaystyle M_{sl}} is the mass or mass flow of slurry in the sample or stream
Ml{\displaystyle M_{l}} is the mass or mass flow of liquid in the sample or stream

Volumetric fraction from mass fraction

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ϕsl,m=MsMsl{\displaystyle \phi _{sl,m}={\frac {M_{s}}{M_{sl}}}}

Equivalently

ϕsl,v=VsVsl{\displaystyle \phi _{sl,v}={\frac {V_{s}}{V_{sl}}}}

and in a minerals processing context where the specific gravity of the liquid (water) is taken to be one:

ϕsl,v=MsSGsMsSGs+Ml1{\displaystyle \phi _{sl,v}={\frac {\frac {M_{s}}{SG_{s}}}{{\frac {M_{s}}{SG_{s}}}+{\frac {M_{l}}{1}}}}}

So

ϕsl,v=MsMs+MlSGs{\displaystyle \phi _{sl,v}={\frac {M_{s}}{M_{s}+M_{l}SG_{s}}}}

and

ϕsl,v=11+MlSGsMs{\displaystyle \phi _{sl,v}={\frac {1}{1+{\frac {M_{l}SG_{s}}{M_{s}}}}}}

Then combining with the first equation:

ϕsl,v=11+MlSGsϕsl,mMsMsMs+Ml{\displaystyle \phi _{sl,v}={\frac {1}{1+{\frac {M_{l}SG_{s}}{\phi _{sl,m}M_{s}}}{\frac {M_{s}}{M_{s}+M_{l}}}}}}

So

ϕsl,v=11+SGsϕsl,mMlMs+Ml{\displaystyle \phi _{sl,v}={\frac {1}{1+{\frac {SG_{s}}{\phi _{sl,m}}}{\frac {M_{l}}{M_{s}+M_{l}}}}}}

Then since

ϕsl,m=MsMs+Ml=1MlMs+Ml{\displaystyle \phi _{sl,m}={\frac {M_{s}}{M_{s}+M_{l}}}=1-{\frac {M_{l}}{M_{s}+M_{l}}}}

we conclude that

ϕsl,v=11+SGs(1ϕsl,m1){\displaystyle \phi _{sl,v}={\frac {1}{1+SG_{s}({\frac {1}{\phi _{sl,m}}}-1)}}}

where

ϕsl,v{\displaystyle \phi _{sl,v}} is the solids fraction of the slurry on avolumetric basis
ϕsl,m{\displaystyle \phi _{sl,m}} is the solids fraction of the slurry on amass basis
Ms{\displaystyle M_{s}} is the mass or mass flow of solids in the sample or stream
Msl{\displaystyle M_{sl}} is the mass or mass flow of slurry in the sample or stream
Ml{\displaystyle M_{l}} is the mass or mass flow of liquid in the sample or stream
SGs{\displaystyle SG_{s}} is the bulk specific gravity of the solids

See also

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References

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  1. ^"Shlumberger: Oilfield glossary". Archived fromthe original on 2012-05-31. Retrieved2012-05-06.
  2. ^"Rheonova : Measuring rheological properties of settling slurries".Archived from the original on 2020-04-18. Retrieved2013-11-30.
  3. ^"Portland Cement Association: Controlled Low-Strength Material".Archived from the original on 2013-10-17. Retrieved2012-05-06.
  4. ^"IRing - Creators of Aegis, an underground drill & blast planning software that helps a mine improve its effectiveness and efficiency".Archived from the original on 2020-08-07. Retrieved2020-01-02.
  5. ^Red Valve Company: Coal Slurry Pipeline
  6. ^Rheonova : Measuring food bolus propertiesArchived 2013-11-30 atarchive.today
  7. ^Wills, B.A. and Napier-Munn, T.J,Wills' Mineral Processing Technology: an introduction to the practical aspects of ore treatment and mineral recovery,ISBN 978-0-7506-4450-1, Seventh Edition (2006), Elsevier, Great Britain

External links

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Wikimedia Commons has media related toSlurry.
Look upslurry in Wiktionary, the free dictionary.
Authority control databases: NationalEdit this at Wikidata
Retrieved from "https://en.wikipedia.org/w/index.php?title=Slurry&oldid=1272970528"
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