NaNa Lab EngineeringE080 · Fluid mechanics

ONE FORMULA, ONE ANSWER

Capillary Rise Calculator

Calculate static rise or depression in a circular capillary. Choose input units and calculate one value within the stated conditions.

Inputs

Greater than zero after conversion to SI

Negative, zero or positive

Greater than zero after conversion to SI

Greater than zero after conversion to SI

Greater than zero after conversion to SI

Calculations run in this browser. Scientific notation such as 1.2e-3 is supported. Do not group thousands.

Result

Capillary height change h

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Enter values and select Calculate.

FORMULA

h = 2σ cosθ/(ρgr)

Assumptions

Required: σ,ρ,g,r>0 and 0≤θ≤180°. Thin circular capillary with negligible gas density and meniscus volume. θ is measured through the liquid; nonwetting depression is negative.

Displayed values are floating-point approximations. Design safety factors and unprovided error contributions are not calculated.

Formula references and credits

NaNa Lab created the code, descriptions, icons and preview images. Text, figures and code from the linked references have not been reproduced.

Physical constants: NIST / CODATA 2022. The values of μ₀ and ε₀ are measured recommendations, not exact defining constants. Values and precision notes are in the source record.

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