Capillary Rise from Surface Tension
Estimate liquid rise in a circular capillary using Jurin's law, h = 2γ cosθ/(ρgr). A contact angle above 90° gives a negative height (depression). Assumes a narrow tube and ignores meniscus-shape corrections.
Description
Estimate liquid rise in a circular capillary using Jurin's law, h = 2γ cosθ/(ρgr). A contact angle above 90° gives a negative height (depression). Assumes a narrow tube and ignores meniscus-shape corrections.
Capillary Rise from Surface Tension: Estimate liquid rise in a circular capillary using Jurin's law, h = 2γ cosθ/(ρgr). A contact angle above 90° gives a negative height (depression). Assumes a narrow tube and ignores meniscus-shape corrections.
When to use Capillary Rise from Surface Tension
Use this chemistry calculator to reproduce a named relationship with explicit quantities and units for study, laboratory planning, or an independent numerical check.
- Surface tension (N/m)
- Required number input.
- Contact angle (deg)
- Required number input.
- Liquid density (kg/m³)
- Required number input.
- Tube radius (m)
- Required number input.
- Gravity (m/s²)
- Required number input.
How Capillary Rise from Surface Tension works
Estimate liquid rise in a circular capillary using Jurin's law, h = 2γ cosθ/(ρgr). A contact angle above 90° gives a negative height (depression). Assumes a narrow tube and ignores meniscus-shape corrections. The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.1
- Height M
- The resulting height m returned as a number.
Limitations and assumptions
- Adsorption, wetting, and colloid models depend on surface preparation, temperature, pore structure, solution chemistry, and the chosen idealized isotherm or interaction model. Fitted parameters should not be extrapolated beyond their measurement range.
- Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.
Alternative or Complementary approaches
Check units and significant figures, compare the result with limiting cases, and use measured or source-specific constants where available. Laboratory, safety, and regulatory decisions require validated methods and appropriate uncertainty analysis.
References
-
Surface science — Wikipedia contributors
Similar or alternative tools
- Young Contact Angle
Calculate the equilibrium contact angle from solid–vapor, solid–liquid, and liquid–vapor interfacial energies using Young's equation. Valid only when the resulting cosine lies between −1 and 1; surface roughness and hysteresis are not modeled.
- Bragg Angle Calculator
Solve Bragg's law n*lambda = 2*d*sin(theta) for the diffraction angle theta in degrees.
- Langmuir Surface Coverage
Compute fractional site occupancy θ=KC/(1+KC) for a single-site Langmuir adsorption model. Concentration and K must use reciprocal units. This assumes equivalent sites, monolayer adsorption, and no adsorbate interactions.