## Contents

## USAGE:

thermobaric = gsw_thermobaric(SA,CT,p)

## DESCRIPTION:

Calculates the thermobaric coefficient of seawater with respect to
Conservative Temperature. This routine calculates rho from the
computationally-efficient 75-term expression for specific volume in terms
of SA, CT and p (Roquet et al., 2015).

Note that the 75-term equation has been fitted in a restricted range of
parameter space, and is most accurate inside the "oceanographic funnel"
described in McDougall et al. (2003). The GSW library function
"gsw_infunnel(SA,CT,p)" is avaialble to be used if one wants to test if
some of one's data lies outside this "funnel".

## INPUT:

SA = Absolute Salinity [ g/kg ]
CT = Conservative Temperature [ deg C ]
p = sea pressure [ dbar ]
( i.e. absolute pressure - 10.1325 dbar )

SA & CT need to have the same dimensions.
p may have dimensions 1x1 or Mx1 or 1xN or MxN, where SA & CT are MxN.

## OUTPUT:

thermobaric = thermobaric coefficient with respect
to Conservative Temperature. [ 1/(K Pa) ]
Note. The pressure derivative is taken with respect to
pressure in Pa not dbar.

## EXAMPLE:

SA = [34.7118; 34.8915; 35.0256; 34.8472; 34.7366; 34.7324;]
CT = [28.8099; 28.4392; 22.7862; 10.2262; 6.8272; 4.3236;]
p = [ 10; 50; 125; 250; 600; 1000;]

thermobaric = gsw_thermobaric(SA,CT,p)

thermobaric =

1.0e-011 *

0.152618598186650
0.153662896162852
0.173429325875738
0.232810160208414
0.251984724005424
0.266660342289558

## AUTHOR:

David Jackett, Trevor McDougall and Paul Barker [ help@teos-10.org ]

## VERSION NUMBER:

3.05 (16th February, 2015)

## REFERENCES:

IOC, SCOR and IAPSO, 2010: The international thermodynamic equation of
seawater - 2010: Calculation and use of thermodynamic properties.
Intergovernmental Oceanographic Commission, Manuals and Guides No. 56,
UNESCO (English), 196 pp. Available from the TEOS-10 web site.
See Eqns. (3.8.2) and (P.2) of this TEOS-10 manual.

McDougall, T.J., D.R. Jackett, D.G. Wright and R. Feistel, 2003:
Accurate and computationally efficient algorithms for potential
temperature and density of seawater. J. Atmosph. Ocean. Tech., 20,
pp. 730-741.

Roquet, F., G. Madec, T.J. McDougall, P.M. Barker, 2015: Accurate
polynomial expressions for the density and specifc volume of seawater
using the TEOS-10 standard. Ocean Modelling.

The software is available from http://www.TEOS-10.org