Poise (unit): Difference between revisions

poise
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

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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 $\mathrm {force\times time/area}$ , that is, $[{\mathsf {M}}^{1}{\mathsf {L}}^{-1}{\mathsf {T}}^{-1}]$ .

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

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

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

The poise is often used with 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]

References

^ Gooch, Jan W. (2010). Encyclopedia dictionary of polymers (2nd ed.). Berlin: Springer. ISBN 978-1-4419-6246-1.
^ Reid, Robert C. (1987). The Properties of Gases and Liquids (4th ed.). McGraw-Hill.
^ Parker, Sybil P. (1988). Fluid Mechanics Source Book (1st ed.). McGraw-Hill.
^ Lide, David R. (1994). CRC Handbook of Thermophysical and Thermochemical Data (1st ed.). CRC Press.
^ "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.

[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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@@ Line 1: / Line 1: @@
+{{Short description|Unit of dynamic viscosity in the CGS system of units}}
-{{Refimprove|date=December 2009}}
+{{Infobox unit
-The '''poise''' (symbol P; {{IPAc-en|lang|ˈ|p|ɔɪ|z|,|ˈ|p|w|ɑː|z}}) is the unit of [[Viscosity#Dynamic viscosity|dynamic viscosity]] (absolute viscosity) in the [[centimetre–gram–second system of units]].<ref>{{cite book|last1=Gooch|first1=Jan W.|title=Encyclopedia dictionary of polymers.|date=2010|publisher=Springer|location=Berlin|isbn=978-1-4419-6246-1|edition=2nd}}</ref> It is named after [[Jean Léonard Marie Poiseuille]].
+| name = poise
+| image =
+| caption =
+| standard = [[Centimetre–gram–second system of units]]
+| quantity = [[Dynamic viscosity]]
+| symbol = P
+| symbol2 =
+| namedafter = [[Jean Léonard Marie Poiseuille]]
+| extralabel = Derivation
+| extradata = 1 P = 1 dyn⋅s/cm<sup>2</sup>
+| units1 = CGS base units
+| inunits1 = 1 cm<sup>−1</sup>⋅g⋅s<sup>−1</sup>
+| units2 = SI units
+| inunits2 = 0.1 Pa⋅s
+}}
+The '''poise''' (symbol '''P'''; {{IPAc-en|p|ɔɪ|z|,_|p|w|ɑː|z}}) is the unit of [[dynamic viscosity]] (absolute viscosity) in the [[centimetre–gram–second system of units]] (CGS).<ref>{{cite book|last1=Gooch|first1=Jan W.| title=Encyclopedia dictionary of polymers.| date=2010|publisher=Springer| location=Berlin| isbn=978-1-4419-6246-1| edition=2nd}}</ref> It is named after [[Jean Léonard Marie Poiseuille]] (see [[Hagen–Poiseuille equation]]). The '''centipoise''' (1&nbsp;cP = 0.01&nbsp;P) is more commonly used than the poise itself.
-:<math>1~\text{P} = 0.1~\text{kg} \cdot \text{m}^{-1} \cdot \text{s}^{-1} = 1~\text{g} \cdot \text{cm}^{-1} \cdot \text{s}^{-1}.</math>
+Dynamic viscosity has dimensions of <math>\mathrm{force \times time/area}</math>, that is, <math>[\mathsf{M}^1 \mathsf{L}^{-1} \mathsf{T}^{-1}]</math>.
+<math display=block>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}.</math>
-The analogous unit in the [[SI|International System of Units]] is the [[pascal-second]] (Pa·s):<ref>{{cite book|last1=Reid|first1=Robert C.|title=The Properties of Gases and Liquids.|date=1987|publisher=McGraw-Hill|edition=4th}}</ref>
+The analogous unit in the [[SI|International System of Units]] is the [[pascal-second]] (Pa⋅s):<ref>{{cite book| last1=Reid|first1=Robert C.|title=The Properties of Gases and Liquids.| date=1987|publisher=McGraw-Hill| edition=4th}}</ref>
-:<math>1~\text{Pa} \cdot \text{s} = 1~\text{kg} \cdot \text{m}^{-1} \cdot \text{s}^{-1} = 10~\text{P}.</math>
+<math display=block>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}.</math>
-The poise is often used with the [[metric prefix]]<!--NB: not an SI prefix here--> ''centi-'' because the viscosity of water at 20&nbsp;°C is almost exactly 1 centipoise.<ref>{{cite book|last1=Parker|first1=Sybil P.|title=Fluid Mechanics Source Book.|date=1988|publisher=McGraw-Hill|edition=1st}}</ref> A '''centipoise''' is one hundredth of a poise, equal to one millipascal-second (mPa·s) in SI units (1 cP = 10<sup>−3</sup> Pa·s = 1 mPa·s).
+The poise is often used with the [[metric prefix]]<!--NB: not an SI prefix here--> ''centi-'' because the viscosity of water at 20&nbsp;°C ([[standard conditions for temperature and pressure]]) is almost exactly 1 centipoise.<ref>{{cite book| last1=Parker|first1=Sybil P.|title=Fluid Mechanics Source Book.| date=1988| publisher=McGraw-Hill| edition=1st}}</ref> A centipoise is one hundredth of a poise, or one millipascal-second (mPa⋅s) in SI units (1&nbsp;cP = 10<sup>−3</sup>&nbsp;Pa⋅s = 1&nbsp;mPa⋅s).<ref>{{cite book|last1=Lide|first1=David R.| title=CRC Handbook of Thermophysical and Thermochemical Data.| date=1994 | publisher=CRC Press|edition=1st}}</ref>
-The CGS symbol for the centipoise is cP.  The abbreviations cps, cp, and cPs are sometimes seen.
+The CGS symbol for the centipoise is cP. The abbreviations cps, cp, and cPs are sometimes seen.
-Water has a viscosity of 0.00899 poises at 25&nbsp;°C and a pressure of 1 [[atmosphere (unit)|atmosphere]] (0.00899 P = 0.899cP = 0.899 mPa·s).<ref>"Viscosity of Liquids", in CRC Handbook of Chemistry and Physics, 89th Edition (Internet Version 2009), David R. Lide, ed., CRC Press/Taylor and Francis, Boca Raton, FL.</ref>
+Liquid water has a viscosity of 0.00890&nbsp;P at 25&nbsp;°C at a pressure of 1 [[atmosphere (unit)|atmosphere]] (0.00890&nbsp;P = 0.890&nbsp;cP = 0.890&nbsp;mPa⋅s).<ref>"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.</ref>
 ==See also==
 {{Wiktionary|poise}}
+* [[Poiseuille]]
 * [[Viscosity]]
 ==References==
 {{Reflist}}
+{{CGS units}}
 [[Category:Centimetre–gram–second system of units]]
 [[Category:Units of dynamic viscosity]]
 [[et:Poise]]

v t e CGS units
Base units	centimetre gram second
Derived non EM units	barye dyne erg gal kelvin poise kayser phot stilb
Derived EMU units	abampere (biot) abcoulomb abhenry abmho abohm abvolt gauss gilbert maxwell oersted
Derived ESU units	statampere statcoulomb statmho statohm statvolt