Pascal's Law

Written by Jerry Ratzlaff on . Posted in Fluid Dynamics

Pascal's law states that the increase in pressure is uniformly applied in all directions in a confined fluid.

formula

\(\Delta p = \rho   g   h \;\)

Where:

\(\Delta p\) = pressure differential, hydrostatic pressure between two points

\(\rho\) (Greek symbol rho) = density

\(g\) = gravity or gravitational acceleration

\(h\) = height or height of liquid column

\(p_b\) = pressure at bottom of column

\(p_t\) = pressure at top of column

Solve for:

\(p_b = p_t \;+\; p g h \)

\(p_t = p g h \;-\; p_b \)

\(g = \frac {p_b \;-\; p_t } {\rho h} \)

\(\rho = \frac {p_b \;-\; p_t } {g h} \)

\(h = \frac {p_b \;-\; p_t } {\rho g} \)