gsw_rho_alpha_beta

in-situ density, thermal expansion & saline 
contraction coefficient (48-term equation)

Contents

USAGE:

[rho, alpha, beta] = gsw_rho_alpha_beta(SA,CT,p)

DESCRIPTION:

Calculates in-situ density, the appropiate thermal expansion coefficient
and the appropriate saline contraction coefficient of seawater from
Absolute Salinity and Conservative Temperature.  This function uses the
computationally-efficient 48-term expression for density in terms of
SA, CT and p (McDougall et al., 2011).
Note that potential density (pot_rho) with respect to reference pressure
p_ref is obtained by calling this function with the pressure argument being
p_ref as in [pot_rho, ~, ~] = gsw_rho_alpha_beta(SA,CT,p_ref).
TEOS-10 
Click for a more detailed description of rho, alpha
and beta.

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:

rho    =  in-situ density                                     [ kg/m^3 ]
alpha  =  thermal expansion coefficient                          [ 1/K ]
          with respect to Conservative Temperature
beta   =  saline contraction coefficient                        [ kg/g ]
          at constant Conservative Temperature

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;]
[rho, alpha, beta] = gsw_rho_alpha_beta(SA,CT,p)
rho =
1.0e+003 *
   1.021840446566116
   1.022262985174925
   1.024427770449335
   1.027790499661129
   1.029837753532120
   1.032002083264508
alpha =
1.0e-003 *
   0.324655171916243
   0.322668478458351
   0.281151938214040
   0.173151289088423
   0.146219836227099
   0.129341856239010
beta =
1.0e-003 *
   0.717542079424497
   0.717702525468585
   0.726263506499359
   0.750590941859954
   0.755150882623787
   0.757150836844134

AUTHOR:

Paul Barker and Trevor McDougall          [ help@teos-10.org ]

VERSION NUMBER:

3.01 (23rd 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 appendix A.20 and appendix K of this TEOS-10 Manual.
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. 
The software is available from http://www.TEOS-10.org