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:

Wikipedia, second formula.

laplace_pressure¶: Excess pressure under the curved surface.

Symbol:: P_L
Latex:: \(P_\text{L}\)
Dimension:: pressure

surface_tension¶: surface_tension of the fluid.

Symbol:: gamma
Latex:: \(\gamma\)
Dimension:: force/length

radius_of_curvature¶: radius_of_curvature of the surface.

Symbol:: r
Latex:: \(r\)
Dimension:: length

law¶

P_L = 2 * gamma / r

Latex:: \[P_\text{L} = \frac{2 \gamma}{r}\]