Tait equation of state: Difference between revisions
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(Version 1.0 ripped from wikipedia, work in progress...) |
(Improved notation, fixed typo (also in wikipedia!).) |
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The '''Tait equation''' is an [[equation of state]]. The equation was originally published by Peter Guthrie Tait in 1888. (Yuan-Hui Li, 15 May 1967, Equation of State of Water and Sea Water, Journal of Geophysical Research 72 (10), p. 2665.) It | The '''Tait equation''' is an [[equation of state]]. The equation was originally published by Peter Guthrie Tait in 1888. (Yuan-Hui Li, 15 May 1967, Equation of State of Water and Sea Water, Journal of Geophysical Research 72 (10), p. 2665.) It may be written as | ||
:<math> \ | :<math> \beta := \frac{-1}{V} \left ( \frac{\partial V}{\partial P} \right )_T = \frac{1}{V} \frac{C}{B+P}</math> | ||
or in the integrated form | or in the integrated form | ||
:<math> | :<math> V = V_0 - C \log \frac{B+P}{B+P_0}</math> | ||
where | where | ||
*<math> \ | *<math> \beta</math> is the [[compressibility]]. | ||
*<math> | *<math> V \ </math> is the [[specific volume]]. | ||
*<math> B \ </math> and <math> C \ </math> are functions of temperature that are independent of pressure. | *<math> B \ </math> and <math> C \ </math> are functions of temperature that are independent of pressure. | ||
Revision as of 21:29, 17 October 2012
The Tait equation is an equation of state. The equation was originally published by Peter Guthrie Tait in 1888. (Yuan-Hui Li, 15 May 1967, Equation of State of Water and Sea Water, Journal of Geophysical Research 72 (10), p. 2665.) It may be written as
or in the integrated form
where
- is the compressibility.
- is the specific volume.
- and are functions of temperature that are independent of pressure.
