Fluid mechanics

Static of ideal fluids

Static pressure

Form

$$p=\frac{dF}{dA},\frac{F_1}{A_1}=p=\frac{F_2}{A_2}$$

Hydraulic pressure

Multicolumn

Form

$$\begin{array}{rl}{F}_u& =p_2\cdot A\\ F_0& =p_1\cdot A\\ F_g& =m\cdot g={\rho }_f\cdot V\cdot g={\rho }_f\cdot A\cdot \Delta z\cdot g\\ p_2-p_1& ={\rho }_f\cdot g\cdot \Delta z\\ p(z)& ={\rho }_f\cdot g\cdot z|\text{Z1=0 and p1=0}\end{array}$$

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Atmospheric pressure

Pressure measurement

Ascending tube: $b=\rho \cdot g\cdot h$
The pressure is the same on the whole red line level

Relative pressure

Floatability

Forces in fluids

Lateral force

Dynamics of ideal fluids

Real fluid