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p(z) = p_0 \cdot \exp \left[ - \frac{M \, g}{R \, T} \cdot (z-z_0) \right]


Also known as Hydrostatic Boltzmann pressure distribution


Full-range model


LaTeX Math Block
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 \frac{1+ c_0 \, p(z)}{1 + c_0 \, p_0}  = \exp \left[ \frac{ с_0 \cdot \rho_0 \cdot g \cdot (z-z_0)}{1+c_0 \, p_0} \right]


The pressure drop between two points is going to be:

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p_2 - p_1  = \frac{ (1+c_0 \, p_1)}{c_0}  \cdot \left( \exp \left[ \frac{ с_0 \cdot \rho_0 \cdot g \cdot (z_2-z_1)}{1+c_0 \, p_0} \right] - 1 \right) 

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