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Capillary Rise Height Estimate

Capillary Rise Height Estimate helps with applied physics and measurement. Use Liquid surface tension N/m, Contact angle degrees, Liquid density kg per m cubed, Tube radius millimetres to estimate m rather than relying on a fixed rule of thumb. This calculator uses the relationship 2*tension*cos(angle*pi/180)/(density*9.80665*(radius/1000)). Assumes a cylindrical narrow tube and ideal static contact angle. It runs locally in your browser, so the values can be changed to explore a different scenario without transmitting the entered numbers to an external calculation service.

How to use this calculator

  1. Check the measurements for Liquid surface tension N/m, Contact angle degrees, Liquid density kg per m cubed, Tube radius millimetres. Each field displays its input unit; do not mix cm, m, seconds or minutes.
  2. Enter the quantities for your own applied physics and measurement scenario. Use ungrouped numeric values, with a period for decimals.
  3. Read the result in m and compare the underlying formula with your real situation. Assumes a cylindrical narrow tube and ideal static contact angle.

How the Capillary Rise Height Estimate works

Result in m = 2*tension*cos(angle*pi/180)/(density*9.80665*(radius/1000)). Inputs are expressed in the units shown in their labels.

  • The output uses the current values of Liquid surface tension N/m, Contact angle degrees, Liquid density kg per m cubed, Tube radius millimetres, with no live service data, manufacturer information or personal information. This is a model, not a real-time measurement.
  • The tool rejects blank, nonnumeric and out-of-range inputs instead of displaying a misleading result. Assumes a cylindrical narrow tube and ideal static contact angle. Review quantities, precision and units before using the result for a purchase, plan or technical choice.

Worked examples

Worked example: Capillary Rise Height Estimate

Suppose Liquid surface tension N/m = 0.072, Contact angle degrees = 25, Liquid density kg per m cubed = 1000, Tube radius millimetres = 0.4. The calculator processes these numeric quantities using its defined relationship.

Apply 2*tension*cos(angle*pi/180)/(density*9.80665*(radius/1000)) to those inputs, preserving the unit conversions in the expression.

Calculated value: approximately 0.03327036 m.

Understanding the result

The default example gives approximately 0.03327036 m; this is a mathematical output based on the example inputs, not a forecast of actual observed conditions.

Assumes a cylindrical narrow tube and ideal static contact angle.

Important notes

Assumes a cylindrical narrow tube and ideal static contact angle.

For a production decision, check the source measurements and local requirements before trusting this m estimate. The tool rejects blank, nonnumeric and out-of-range inputs instead of displaying a misleading result.

Frequently asked questions

What is the Capillary Rise Height Estimate used for?

It converts Liquid surface tension N/m, Contact angle degrees, Liquid density kg per m cubed, Tube radius millimetres into a calculated quantity in m, using the formula displayed above.

What assumptions matter for this calculator?

Assumes a cylindrical narrow tube and ideal static contact angle. The outcome changes when measurements, operating conditions or units differ.

How do I verify a result from the Capillary Rise Height Estimate?

Recalculate the worked example independently, check your units, and use measured data when available. The tool rejects blank, nonnumeric and out-of-range inputs instead of displaying a misleading result.

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Related explanations

Learn the method behind the number or compare the terminology before using the calculator.

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This page provides a calculation tool plus explanatory information so you can understand what the result means and when the underlying method may not fit your situation.