The Young-Laplace Equation

The Young-Laplace equation describes how pressure differences affect surfaces, particularly in liquids and gases. It states that the pressure inside a curved surface, like a soap bubble or droplet, differs from the outside pressure due to the surface tension acting on the curve. The equation relates this pressure difference to the curvature of the surface: sharper curves have a greater pressure difference. This principle helps explain phenomena like why bubbles are spherical and why smaller droplets have higher internal pressure than larger ones.