Capillary Rise Calculator
Balances surface tension against the weight of a liquid column. Changing an entry refreshes both the value and its checking path.
Describe the test condition
Capillary rise
The physical meaning of the output
Balances surface tension against the weight of a liquid column. The inputs describe surface tension, contact angle, fluid density, gravitational acceleration, tube radius, and the reported unit is m.
A nonwetting contact angle can produce capillary depression, and very small tubes may need additional corrections.
On the capillary rise page, each number stays beside its physical unit. That pairing matters because a converted value placed in an unconverted field can look plausible while changing the model.
Reverse the relationship
Reduce the units in h = 2γ cos(θ) / ρgr; the surviving dimension must agree with m. If it does not, the arithmetic should not be accepted even when the displayed number is finite.
Then vary one measured input by ten percent and predict whether capillary rise should rise, fall, or remain unchanged. That sensitivity test is independent of merely repeating the same keystrokes.
Keep the ratio visible
Begin with h = 2γ cos(θ) / ρgr and identify the sought quantity before substituting. The sample entries give a concrete calculation that can be repeated by hand.
Before evaluating capillary rise, cancel units directly in h = 2γ cos(θ) / ρgr. A clean symbolic line is a stronger check than re-entering the same numbers.
Effects excluded from Capillary Rise
Surface, wetting, and compressibility properties depend on material state and test method. The capillary rise result should therefore travel with its temperature, geometry, and sign convention.
The reported capillary rise is defensible only inside those assumptions; a different operating regime calls for different physics.
A numerical example for capillary rise
The starting example uses Surface tension = 0.072 N/m; Contact angle = 0 deg; Fluid density = 1000 kg/m³; Gravitational acceleration = 9.80665 m/s²; Tube radius = 0.0005 m. Entering those values provides a baseline before testing a different physical condition.
After calculating, rearrange h = 2γ cos(θ) / ρgr for one supplied quantity and see whether it returns the original entry. This reverse check is especially helpful when powers, ratios, or reference values are present.
Carrying capillary rise into later work
When capillary rise feeds a later equation, preserve its unrounded numerical value and its unit. Apply the reporting precision only at the end of that chain.
Record the formula, units, geometry, and material state with capillary rise. A bare number cannot reveal whether density, pressure reference, flow area, or operating condition was interpreted correctly.
Reporting the operating condition for Capillary Rise
For capillary rise, note the material or medium, temperature when relevant, and the geometry used to define each length or area. Those details let another reader reproduce the stated capillary rise.
Where the Capillary Rise result can lead
Related work can continue with surface tension force calculator, bulk modulus calculator, drag coefficient calculator.
A repeated field name is not enough; the next equation must describe the same Capillary Rise situation.
Common Capillary Rise questions
What does the capillary rise represent?
It is the output of h = 2γ cos(θ) / ρgr for the field definitions and units printed on the capillary rise page.
How can I check the capillary rise?
Rearrange h = 2γ cos(θ) / ρgr to recover one input, and independently confirm that the remaining dimension reduces to m.
Must all entries use the displayed units?
Yes. Convert every measurement to the unit beside its field before applying the capillary rise relationship.
Why could another capillary rise differ?
A different material state, geometry, reference condition, rounding rule, or model assumption can change the reported capillary rise.
Can the capillary rise be negative?
On the capillary rise page, a negative result is meaningful only when h = 2γ cos(θ) / ρgr and its printed sign convention permit it; otherwise it signals an inconsistent physical domain.