Temperature Salinity
Oceanography · Part 2
222 KB9 sections4 key equationsLaTeX typeset
Table of Contents
- 1.The Master Variables of the Ocean
- 2.Ocean Temperature Distribution
- 3.Salinity Distribution
- 4.T-S Diagrams and Water Mass Analysis
- 5.Mixing Lines and Cabelling
- 6.Python: T-S Diagram with Water Mass Identification
- 7.Global SST and SSS Distribution Patterns
- 8.Conservative Temperature (TEOS-10)
- 9.Fortran: T-S Analysis Program for Water Mass Identification
Key Equations
$$\frac{\partial T}{\partial t} + \mathbf{u} \cdot \nabla T = \kappa_T \nabla^2 T + \frac{Q}{\rho c_p h} \qquad \frac{\partial S}{\partial t} + \mathbf{u} \cdot \nabla S = \kappa_S \nabla^2 S + \frac{S_0(E - P - R)}{h}$$
$$\theta = T - \int_0^p \Gamma(S, T, p') \, dp' \quad \text{where} \quad \Gamma = \frac{\alpha T}{\rho c_p} \approx 0.1\text{--}0.2 \text{ °C per 1000 dbar}$$
$$\frac{\partial S}{\partial t} \bigg|_{\text{surface}} \approx \frac{S_0 (E - P)}{h_{\text{mix}}}$$
$$\theta_{\text{mix}} = f \cdot \theta_1 + (1-f) \cdot \theta_2 \qquad S_{\text{mix}} = f \cdot S_1 + (1-f) \cdot S_2$$
Equations are rendered with MathJax in the PDF with professional LaTeX typesetting.
Course Context
This PDF is part of the Oceanography course on CoursesHub.World. Explore the science of the seas from physical and chemical properties to marine biology and climate interactions. Covers ocean circulation, waves and tides, marine ecosystems, seafloor geology, climat...
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