Excess pressure under curved surface of bubble¶

Under the curved surface of the liquid, in addition to the internal pressure, additional pressure is created due to the curvature of the surface. For a bubble, this pressure is created by two surfaces: the outer and the inner.

Links:

Physics LibreTexts, formula 20.2.4.

pressure_difference¶: pressure difference between the surfaces of the bubble.

Symbol:: Delta(p)
Latex:: \(\Delta p\)
Dimension:: pressure

surface_tension¶: surface_tension of the bubble.

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

radius¶: radius of the bubble.

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

law¶

Delta(p) = 4 * gamma / r

Latex:: \[\Delta p = \frac{4 \gamma}{r}\]