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Figure 3.1: 

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body \rho_{1}

 is the denser fluid, 

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body \rho_{2}

 the less dense fluid.  γ is the angle between the denser fluid and the bottom of the tank.  We integrate along paths 1 and 2, and require that the calculated pressure changes along both paths be equal.

We assume that the flow is in geostrophic balance:

               

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body \large{u = -\frac{1}{\rho}\frac{\delta p}{\delta y}}

The result is resulting in the following relation (Margules relation) for the slope of the frontal boundary:

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