gsw_melting_ice_equilibrium_SA_CT_ratio_poly

ratio of SA to CT changes when ice melts into a large 
mass of seawater, with both the seawater and ice 
temperatures being almost equal to the equilibrium freezing 
temperature (polynomial)

Contents

USAGE:

melting_ice_equilibrium_SA_CT_ratio = ...
             gsw_melting_ice_equilibrium_SA_CT_ratio_poly(SA,p)

DESCRIPTION:

Calculates the ratio of SA to CT changes when ice melts into 
seawater with both the seawater and the ice temperatures being almost 
equal to the equilibrium freezing temperature.  It is assumed that a 
small mass of ice melts into an infinite mass of seawater.  If indeed
the temperature of the seawater and the ice were both equal to the 
freezing temperature, then no melting or freezing would occur; an  
imbalance between these three temperatures is needed for freezing or 
melting to occur (the three temperatures being (1) the seawater 
temperature, (2) the ice temperature, and (3) the freezing 
temperature.
The output, melting_ice_equilibrium_SA_CT_ratio, is dSA/dCT rather than 
dCT/dSA.  This is done so that when SA = 0, the output, dSA/dCT is zero
whereas dCT/dSA would be infinite.

INPUT:

SA  =  Absolute Salinity of seawater                            [ g/kg ]
p  =  sea pressure                                              [ dbar ]
          ( i.e. absolute pressure - 10.1325 dbar )]
p may have dimensions 1x1 or Mx1 or 1xN or MxN, where SA is MxN.

OUTPUT:

melting_ice_equilibrium_SA_CT_ratio = the ratio dSA/dCT of SA to CT  
                           changes when ice melts into seawater, with   
                           the seawater and seaice being close to the
                           freezing temperature.            [ g/(kg K) ]

EXAMPLE:

SA = [34.7118; 34.8915; 35.0256; 34.8472; 34.7366; 34.7324;]
p =  [     10;      50;     125;     250;     600;    1000;]
melting_ice_equilibrium_SA_CT_ratio = ...
                gsw_melting_ice_equilibrium_SA_CT_ratio_poly(SA,p)
melting_ice_equilibrium_SA_CT_ratio =
   0.420209444587263
   0.422511664682796
   0.424345538275708
   0.422475965003649
   0.422023755182266
   0.423038080717229

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