Tait equation of state: Difference between revisions
Jump to navigation
Jump to search
Carl McBride (talk | contribs) m (Changed notation to be consistent with SklogWiki) |
Carl McBride (talk | contribs) m (Changed notation to be consistent with SklogWiki) |
||
| Line 1: | Line 1: | ||
The '''Tait equation''' is an [[equations of state | equation of state]]. The equation was originally published by [[Peter Guthrie Tait]] in 1888<ref>[http://archive.org/stream/reportonscientif02grea#page/n21/mode/2up P. G. Tait "Report on some of the physical properties of fresh water and sea water", Report on the scientific results of the voyage of H.M.S. Challenger during the years 1873-76. Physics and chemistry '''2''' pp. 1-76 (1888)]</ref><ref>[http://dx.doi.org/10.1029/JZ072i010p02665 Yuan-Hui Li "Equation of state of water and sea water", Journal of Geophysical Research '''72''' pp. 2665-2678 (1967)]</ref>. It may be written as | The '''Tait equation''' is an [[equations of state | equation of state]]. The equation was originally published by [[Peter Guthrie Tait]] in 1888 <ref>[http://archive.org/stream/reportonscientif02grea#page/n21/mode/2up P. G. Tait "Report on some of the physical properties of fresh water and sea water", Report on the scientific results of the voyage of H.M.S. Challenger during the years 1873-76. Physics and chemistry '''2''' pp. 1-76 (1888)]</ref><ref>[http://dx.doi.org/10.1029/JZ072i010p02665 Yuan-Hui Li "Equation of state of water and sea water", Journal of Geophysical Research '''72''' pp. 2665-2678 (1967)]</ref>. It may be written as | ||
:<math> \kappa_T := \frac{-1}{V} \left ( \frac{\partial V}{\partial p} \right )_T = \frac{1}{V} \frac{C}{B+ | :<math> \kappa_T := \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> V = V_0 - C \log \frac{B+ | :<math> V = V_0 - C \log \frac{B+p}{B+p_0}</math> | ||
where | where | ||
Revision as of 13:46, 18 October 2012
The Tait equation is an equation of state. The equation was originally published by Peter Guthrie Tait in 1888 [1][2]. It may be written as
or in the integrated form
where
- is the Isothermal compressibility
- is the specific volume.
- and are functions of temperature that are independent of pressure.
References
- ↑ P. G. Tait "Report on some of the physical properties of fresh water and sea water", Report on the scientific results of the voyage of H.M.S. Challenger during the years 1873-76. Physics and chemistry 2 pp. 1-76 (1888)
- ↑ Yuan-Hui Li "Equation of state of water and sea water", Journal of Geophysical Research 72 pp. 2665-2678 (1967)