gsw_entropy_first_derivatives

first derivatives of entropy

Contents

USAGE:

[eta_SA, eta_CT] = gsw_entropy_first_derivatives(SA,CT)

DESCRIPTION:

Calculates the following two partial derivatives of specific entropy (eta)
 (1) eta_SA, the derivative with respect to Absolute Salinity at
     constant Conservative Temperature, and
 (2) eta_CT, the derivative with respect to Conservative Temperature at
     constant Absolute Salinity.
TEOS-10 
Click for a more detailed description of the first
derivatives of entropy.

INPUT:

SA  =   Absolute Salinity                                       [ g/kg ]
CT  =   Conservative Temperature                               [ deg C ]
SA & CT need to have the same dimensions.

OUTPUT:

eta_SA =  The derivative of specific entropy with respect to
          Absolute Salinity (in units of g/kg) at constant Conservative
          Temperature.  The eta_SA output has units of:
                                       [ J/(kg K(g/kg))]  or [ J/(g K) ]
eta_CT =  The derivative of specific entropy with respect to
          Conservative Temperature at constant Absolute Salinity.
          The eta_CT output has units of:                 [ J/(kg K^2) ]

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;]
[eta_SA, eta_CT] = gsw_entropy_first_derivatives(SA,CT)
eta_SA =
  -0.263286800711655
  -0.263977276574528
  -0.255367497912925
  -0.238066586439561
  -0.234438260606436
  -0.232820684341694
eta_CT =
  13.221031210083824
  13.236911191313675
  13.489004628681361
  14.086599016583795
  14.257729576432077
  14.386429945649411

AUTHOR:

Trevor McDougall.                               [ help@teos-10.org ]

VERSION NUMBER:

3.01 (17th 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 Eqns. (A.12.8) and (P.14a, c) of this TEOS-10 Manual.
This software is available from http://www.TEOS-10.org