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It contains coupled non-linear equations that are derived from the Gibbs function. These equations are formulated in the equation of state of seawater, also called the equation of seawater. This equation relates the thermodynamic properties of the ocean (density, temperature, salinity and pressure). These equations are based on empirical ...
Temperature and salinity combine to determine the potential density of seawater; contours of constant potential density are often shown in T-S diagrams. Each contour is known as an isopycnal, or a region of constant density. These isopycnals appear curved because of the nonlinearity of the equation of state of seawater.
Annual mean sea surface salinity for the World Ocean. Data from the World Ocean Atlas 2009. [1] International Association for the Physical Sciences of the Oceans (IAPSO) standard seawater. Salinity (/ s ə ˈ l ɪ n ɪ t i /) is the saltiness or amount of salt dissolved in a body of water, called saline water (see also soil salinity). It is ...
EOS-80 (Equation of State of Seawater -1980) uses Practical Salinity measured on the PSS-78 (Practical Salinity Scale of 1978) scale that itself is based on measurements of temperature, pressure and electrical conductivity. Thus, EOS-80 did not account for different chemical compositions of seawater. [2]
The mathematical relationship between vertical and horizontal velocities can be derived by expressing the idea of conservation of angular momentum for a fluid on a rotating sphere. This relationship (with a couple of additional approximations) is known to oceanographers as the Sverdrup relation. [3]
Nayar et al. correlated the data with the following equation = (+ +) where γ sw is the surface tension of seawater in mN/m, γ w is the surface tension of water in mN/m, S is the reference salinity [41] in g/kg, and t is temperature in degrees Celsius. The average absolute percentage deviation between measurements and the correlation was 0.19% ...
where S T, T T denote the salinity and temperature at top layer, S B, T B denote the salinity and temperature at bottom layer, Ra is the Rayleigh Number, and Pr is the Prandtl Number. The sign of Ra S and Ra T will change depending on whether it stabilizes or destabilizes the system.
(Note - the relation between pressure, volume, temperature, and particle number which is commonly called "the equation of state" is just one of many possible equations of state.) If we know all k+2 of the above equations of state, we may reconstitute the fundamental equation and recover all thermodynamic properties of the system.