gsw_CT_first_derivatives

first derivatives of Conservative Temperature

Contents

USAGE:

[CT_SA, CT_pt] = gsw_CT_first_derivatives(SA,pt)

DESCRIPTION:

Calculates the following two derivatives of Conservative Temperature
(1) CT_SA, the derivative with respect to Absolute Salinity at
    constant potential temperature (with pr = 0 dbar), and
(2) CT_pt, the derivative with respect to potential temperature
    (the regular potential temperature which is referenced to 0 dbar)
    at constant Absolute Salinity.
TEOS-10 
Click for a more detailed description of first the
derivatives of Conservative Temperature.

INPUT:

SA  =  Absolute Salinity                                        [ g/kg ]
pt  =  potential temperature (ITS-90)                          [ deg C ]
       (whose reference pressure is 0 dbar)
SA & pt need to have the same dimensions.

OUTPUT:

CT_SA  =  The derivative of Conservative Temperature with respect to
          Absolute Salinity at constant potential temperature
          (the regular potential temperature which has reference
          sea pressure of 0 dbar).
          The CT_SA output has units of:                    [ K/(g/kg) ]
CT_pt  =  The derivative of Conservative Temperature with respect to
          potential temperature (the regular one with pr = 0 dbar)
          at constant SA. CT_pt is dimensionless.           [ unitless ]

EXAMPLE:

SA = [34.7118; 34.8915; 35.0256; 34.8472; 34.7366; 34.7324;]
pt = [28.7832; 28.4209; 22.7850; 10.2305;  6.8292;  4.3245;]
[CT_SA, CT_pt] = gsw_CT_first_derivatives(SA,pt)
CT_SA =
  -0.041981092877806
  -0.041558140199508
  -0.034739209004865
  -0.018711103772892
  -0.014075941811725
  -0.010571716552295
CT_pt =
   1.002814937296636
   1.002554817053239
   1.001645140295163
   1.000003771100520
   0.999716359504731
   0.999474326580093

AUTHOR:

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

VERSION NUMBER:

3.01 (26th August, 2010)

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. (A.12.3) and (A.12.9a,b) of this TEOS-10 Manual.
McDougall T. J., D. R. Jackett, P. M. Barker, C. Roberts-Thomson, R.
 Feistel and R. W. Hallberg, 2010:  A computationally efficient 25-term
 expression for the density of seawater in terms of Conservative
 Temperature, and related properties of seawater.  To be submitted
 to Ocean Science Discussions.
This software is available from http://www.TEOS-10.org