Poise (unit)

Short description: Unit of dynamic viscosity in the CGS system of units

poise

Unit system| Centimetre–gram–second system of units
Unit of| Dynamic viscosity
Symbol| P
Named after| Jean Léonard Marie Poiseuille
Derivation| 1 P = 1 dyn⋅s/cm2
Conversions
1 P in ...| ... is equal to ...
CGS base units|  1 cm−1⋅g⋅s−1
SI units|  0.1 Pa⋅s

The poise (symbol P; /pɔɪz, pwɑːz/) is the unit of dynamic viscosity (absolute viscosity) in the centimetre–gram–second system of units (CGS).[1] It is named after Jean Léonard Marie Poiseuille (see Hagen–Poiseuille equation). The centipoise (1 cP = 0.01 P) is more commonly used than the poise itself.

Dynamic viscosity has dimensions of force×time/area, that is, [M1L−1T−1].

1P=0.1m−1⋅kg⋅s−1=1cm−1⋅g⋅s−1=1dyn⋅s⋅cm−2.

The analogous unit in the International System of Units is the pascal-second (Pa⋅s):[2]

1Pa⋅s=1N⋅s⋅m−2=1m−1⋅kg⋅s−1=10P.

The poise is often used with the metric prefix centi- 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 1 atmosphere (0.00890 P = 0.890 cP = 0.890 mPa⋅s).[5]

## See also

* Poiseuille
* Viscosity

## References

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.

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CGS units

Base units|

centimetre • gram • second

Derived non EM units|

barye • dyne • erg • gal • kelvin • poise • phot • stilb

Derived EMU units|

abcoulomb • abhenry • abohm • biot • gauss • gilbert • maxwell • oersted

Derived ESU units|

statcoulomb • statvolt

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