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Poise (unit)

From Wikipedia, the free encyclopedia
Unit of dynamic viscosity in the CGS system of units
poise
Unit systemCentimetre–gram–second system of units
Unit ofDynamic viscosity
SymbolP
Named afterJean Léonard Marie Poiseuille
Derivation1 P = 1 dyn⋅s/cm2
Conversions
1 Pin ...... is equal to ...
   CGS base units   1 cm−1⋅g⋅s−1
   SI units   0.1 Pa⋅s

Thepoise (symbolP;/pɔɪz,pwɑːz/) is the unit ofdynamic viscosity (absolute viscosity) in thecentimetre–gram–second system of units (CGS).[1] It is named afterJean Léonard Marie Poiseuille (seeHagen–Poiseuille equation). Thecentipoise (1 cP = 0.01 P) is more commonly used than the poise itself.

Dynamic viscosity has dimensions offorce×time/area{\displaystyle \mathrm {force\times time/area} }, that is,[M1L−1T−1]{\displaystyle [{\mathsf {M}}^{1}{\mathsf {L}}^{-1}{\mathsf {T}}^{-1}]}.

1 P=0.1 m−1⋅kg⋅s−1=1 cm−1⋅g⋅s−1=1 dyn⋅s⋅cm−2.{\displaystyle 1~{\text{P}}=0.1~{\text{m}}^{-1}{\cdot }{\text{kg}}{\cdot }{\text{s}}^{-1}=1~{\text{cm}}^{-1}{\cdot }{\text{g}}{\cdot }{\text{s}}^{-1}=1~{\text{dyn}}{\cdot }{\text{s}}{\cdot }{\text{cm}}^{-2}.}

The analogous unit in theInternational System of Units is thepascal-second (Pa⋅s):[2]

1 Pa⋅s=1 N⋅s⋅m−2=1 m−1⋅kg⋅s−1=10 P.{\displaystyle 1~{\text{Pa}}{\cdot }{\text{s}}=1~{\text{N}}{\cdot }{\text{s}}{\cdot }{\text{m}}^{-2}=1~{\text{m}}^{-1}{\cdot }{\text{kg}}{\cdot }{\text{s}}^{-1}=10~{\text{P}}.}

The poise is often used with themetric prefixcenti- because the viscosity of water at 20 °C (standard conditions for temperature and pressure) is almost exactly 1 centipoise.[3] A centipoise is one hundredth of a poise, or one millipascal-second (mPa⋅s) in SI units (1 cP = 10−3 Pa⋅s = 1 mPa⋅s).[4]

The CGS symbol for the centipoise is cP. The abbreviations cps, cp, and cPs are sometimes seen.

Liquid water has a viscosity of 0.00890 P at 25 °C at a pressure of 1atmosphere (0.00890 P = 0.890 cP = 0.890 mPa⋅s).[5]

See also

[edit]
Look uppoise in Wiktionary, the free dictionary.

References

[edit]
  1. ^Gooch, Jan W. (2010).Encyclopedia dictionary of polymers (2nd ed.). Berlin: Springer.ISBN 978-1-4419-6246-1.
  2. ^Reid, Robert C. (1987).The Properties of Gases and Liquids (4th ed.). McGraw-Hill.
  3. ^Parker, Sybil P. (1988).Fluid Mechanics Source Book (1st ed.). McGraw-Hill.
  4. ^Lide, David R. (1994).CRC Handbook of Thermophysical and Thermochemical Data (1st ed.). CRC Press.
  5. ^"Viscosity of Liquids", in CRC Handbook of Chemistry and Physics, 91st Edition, W.M. Haynes, ed., CRC Press/Taylor and Francis, Boca Raton, Florida, 2010-2011.
Base units
Derived non EM units
Derived EMU units
Derived ESU units
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