Laplace pressure of spherical shapes

Under the curved surface of a fluid, in addition to the internal pressure, additional pressure is created due to the curvature of the surface. The excess pressure under the curved surface of the fluid is called Laplace pressure.

Links:

  1. Wikipedia, second formula.

laplace_pressure

Excess pressure under the curved surface.

Symbol:

P_L

Latex:

\(P_\text{L}\)

surface_tension

Surface tension of the fluid.

Symbol:

sigma

Latex:

\(\sigma\)

radius_of_curvature

Radius of curvature of the surface.

Symbol:

R

law

P_L = 2 * sigma / R

Latex:
\[P_\text{L} = \frac{2 \sigma}{R}\]