gsw_specvol_first_derivatives_wrt_enthalpy_CT_exact

partial derivatives of specific volume 
with respect to enthalpy

Contents

USAGE:

[v_SA_wrt_h, v_h] = gsw_specvol_first_derivatives_wrt_enthalpy_CT_exact(SA,CT,p)

DESCRIPTION:

Calculates the following two first-order derivatives of specific
volume (v),
 (1) v_SA_wrt_h, first-order derivative with respect to Absolute Salinity 
     at constant h & p.
 (2) v_h, first-order derivative with respect to h at 
     constant SA & p. 
Note that this function uses the full Gibbs function.  There is an 
alternative to calling this function, namely 
gsw_specvol_first_derivatives_wrt_enthalpy(SA,CT,p), which 
uses the computationally efficient 75-term expression for specific
volume in terms of SA, CT and p (Roquet et al., 2015).

INPUT:

SA  =  Absolute Salinity                                        [ g/kg ]
CT  =  Conservative Temperature                                [ deg C ]
p   =  sea pressure                                             [ dbar ]
       (ie. 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:

v_SA_wrt_h  =  The first derivative of specific volume with respect to 
            Absolute Salinity at constant CT & p.   
                                         [ (m^3/kg)(g/kg)^-1 (J/kg)^-1 ]
v_h  =  The first derivative of specific volume with respect to 
            SA and CT at constant p.               [ (m^3/kg)(J/kg)^-1 ]

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;]
[v_SA_wrt_h, v_h] = gsw_specvol_first_derivatives_wrt_enthalpy_CT_exact(SA,CT,p)
v_SA_wrt_h =
   1.0e-06 *
  -0.702146096545289
  -0.701991007935082
  -0.708841162302751
  -0.730139156726518
  -0.733029001570477
  -0.733356567333861
v_h =
   1.0e-10 *
   0.796031257306406
   0.790815890007698
   0.687524686991260
   0.421956231960832
   0.355728796960838
   0.314083120405946

AUTHOR:

Paul Barker and Trevor McDougall          [ 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.
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