changes.mady.by.user Arthur Aslanyan (Nafta College)
Saved on Nov 11, 2019
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Incompressible fluid
Ideal Gas
p(z) = p_0 + \rho_0 \cdot g \cdot (z-z_0)
p(z) = p_0 \cdot \exp \left[ - \frac{\rho_0 \, g}{p_0} \cdot (z-z_0) \right]
\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]
p_2 - p_1 = \rho_0 \cdot g \cdot (z_2-z_1)
p_2 - p_1 = p_1 \cdot \left( \exp \left[ \frac{ \rho_0 \cdot g \cdot (z_2-z_1)} {p_0} \right] - 1 \right)
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)
Also known as Barometric formula
with as Hydrostatic Boltzmann pressure distribution with LaTeX Math Inlinebody--uriencoded--\displaystyle \frac%7B\rho_0%7D%7Bp_0%7D = \frac%7BM%7D%7BR\, T%7D