What Is the Young-Laplace Droplet & Bubble Excess Pressure Calculator?
The Young-Laplace equation relates the pressure jump across an interface to the surface tension and the mean curvature of the surface.
How Does the Young-Laplace Droplet & Bubble Excess Pressure Calculator Work?
Multiplies surface tension by total principal curvature (2/R for sphere, 1/R for cylinder).
Converts output pressure to kPa and bar.
Young-Laplace Droplet & Bubble Excess Pressure Calculator Formula & Variables
The core mathematical equation utilized by this calculator is expressed as:
ΔP = 2·σ / R (Spherical), ΔP = σ / R (Cylindrical)
Young-Laplace pressure jump derived from interfacial free energy minimization.
How to Use the Young-Laplace Droplet & Bubble Excess Pressure Calculator
- Enter surface tension in N/m.
- Specify radius in microns and select geometry.
Step-by-Step Example Calculation
10 Micron Water Droplet in Air
Input Values:
surfaceTension:0.0728
radius:10
geometry:spherical
Worked Steps: 10 µm water droplet generating 14.56 kPa excess internal pressure.
Understanding Your Result
Demonstrates why microscopic droplets require substantial energy to atomize.
Factors That Affect the Result
- Radius (pressure scales inversely with radius 1/R).
- Surfactants and temperature.
When Should You Use This Calculator?
- Microfluidic emulsion generation, inkjet printing, lung pulmonary surfactant mechanics, and cloud physics.
Assumptions & Limitations
- Assumes static equilibrium and constant surface tension.
Frequently Asked Questions
Calculation Accuracy & Reference Note
Fundamental thermodynamic surface physics relation.