Contents
USAGE:
[h_SA_SA, h_SA_CT, h_CT_CT] = gsw_enthalpy_second_derivatives(SA,CT,p)
DESCRIPTION:
Calculates the following three second-order derivatives of specific
enthalpy (h),
(1) h_SA_SA, second order derivative with respect to Absolute Salinity
at constant CT & p.
(2) h_SA_CT, second order derivative with respect to SA & CT at
constant p.
(3) h_CT_CT, second order derivative with respect to CT at constant
SA & p.
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:
h_SA_SA = The second derivative of specific enthalpy with respect to
Absolute Salinity at constant CT & p. [ J/(kg (g/kg)^2) ]
h_SA_CT = The second derivative of specific enthalpy with respect to
SA and CT at constant p. [ J/(kg K(g/kg)) ]
h_CT_CT = The second derivative of specific enthalpy with respect to
CT at constant SA and p. [ J/(kg K^2) ]
EXAMPLE:
SA = [34.7118; 34.8915; 35.0256; 34.8472; 34.7366; 34.7324;]
CT = [28.7856; 28.4329; 22.8103; 10.2600; 6.8863; 4.4036;]
p = [ 10; 50; 125; 250; 600; 1000;]
[h_SA_SA, h_SA_CT, h_CT_CT] = gsw_enthalpy_second_derivatives(SA,CT,p)
h_SA_SA =
0.000082767011575
0.000414469343141
0.001089580017293
0.002472193425999
0.006103171596320
0.010377465312462
h_SA_CT =
0.000130320164426
0.000655016236924
0.001879127443985
0.005468695168037
0.014315709000526
0.025192691262061
h_CT_CT =
0.000714365642428
0.003584965089168
0.009733337653703
0.024044402143825
0.061449390733344
0.107333638394904
AUTHOR:
Trevor McDougall and Paul Barker. [ help@teos-10.org ]
VERSION NUMBER:
3.01 (16th May, 2011)
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 Notes on the first and second order isobaric derivatives of
specific enthalpy.
McDougall T.J., P.M. Barker, R. Feistel and D.R. Jackett, 2011: A
computationally efficient 48-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