gsw_CT_freezing_first_derivatives

Contents

USAGE:

[CTfreezing_SA, CTfreezing_P] = gsw_CT_freezing_first_derivatives(SA,p,saturation_fraction)

DESCRIPTION:

Calculates the frist derivatives of the Conservative Temperature at
which seawater freezes, with respect to Absolute Salinity SA and
pressure P (in Pa). 

INPUT:

SA  =  Absolute Salinity                                        [ g/kg ]
p  =  sea pressure                                              [ dbar ]
        ( i.e. absolute pressure - 10.1325 dbar )
        
OPTIONAL:
saturation_fraction = the saturation fraction of dissolved air in 
                        seawater
  (i.e., saturation_fraction must be between 0 and 1, and the default 
    is 0, air free) 

p & saturation_fraction (if provided) may have dimensions 1x1 or Mx1 or 
1xN or MxN, where SA is MxN.

OUTPUT:

CTfreezing_SA = the derivative of the Conservative Temperature at
                freezing (ITS-90) with respect to Absolute Salinity at
                fixed pressure              [ K/(g/kg) ] i.e. [ K kg/g ]
                
CTfreezing_P  = the derivative of the Conservative Temperature at
                freezing (ITS-90) with respect to pressure (in Pa) at
                fixed Absolute Salinity                         [ K/Pa ]

EXAMPLE:

SA = [34.7118; 34.8915; 35.0256; 34.8472; 34.7366; 34.7324;]
p  = [     10;      50;     125;     250;     600;    1000;]
saturation_fraction = [1; 0.8; 0.6; 0.5; 0.4; 0;]

[CTfreezing_SA, CTfreezing_P] = gsw_CT_freezing_first_derivatives(SA,p,saturation_fraction)

CTfreezing_SA =

  -0.058193253897272
  -0.058265158334170
  -0.058345661671901
  -0.058373842446463
  -0.058534544740846
  -0.058730846361252

CTfreezing_P =

    1.0e-007 *

  -0.765300390432684
  -0.766942996466485
  -0.769892679988284
  -0.774561011527902
  -0.787769143040504
  -0.802771548245855

AUTHOR:

Trevor McDougall & 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.

McDougall, T.J., P.M. Barker, R. Feistel and B.K. Galton-Fenzi, 2014: 
 Melting of Ice and Sea Ice into Seawater and Frazil Ice Formation. 
 Journal of Physical Oceanography, 44, 1751-1775.

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