Height of Capillary Rise Calculator

✖Surface Tension is a word that is linked to the liquid surface. It is a physical property of liquids, in which the molecules are drawn onto every side.ⓘ Surface Tension [σ]			+10% -10%
✖Theta is the angle of contact between liquid and the boundary of capillary tube.ⓘ Theta [θ]			+10% -10%
✖Specific Weight is defined as weight per unit volume. It is the specific weight of the liquid for which the calculation is being done.ⓘ Specific Weight [γ]			+10% -10%
✖Diameter of tube is defined as the OUTSIDE DIAMETER (O.D.), specified in inches (e.g., 1.250) or fraction of an inch (eg. 1-1/4″).ⓘ Diameter of Tube [d]			+10% -10%

✖Capillarity height is denoted by the symbol h.ⓘ Height of Capillary Rise [h_capillarity]

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Formula

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Height of Capillary Rise

Formula

`"h"_{"capillarity"} = (4*"σ"*cos("θ"))/("γ"*"d")`

Example

`"857.6429mm"=(4*"72.75N/m"*cos("8°"))/("112N/m³"*"3000mm")`

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Height of Capillary Rise Solution

STEP 0: Pre-Calculation Summary

Formula Used

Capillarity Height = (4*Surface Tension*cos(Theta))/(Specific Weight*Diameter of Tube)
h_capillarity = (4*σ*cos(θ))/(γ*d)
This formula uses 1 Functions, 5 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Capillarity Height - (Measured in Meter) - Capillarity height is denoted by the symbol h.
Surface Tension - (Measured in Newton per Meter) - Surface Tension is a word that is linked to the liquid surface. It is a physical property of liquids, in which the molecules are drawn onto every side.
Theta - (Measured in Radian) - Theta is the angle of contact between liquid and the boundary of capillary tube.
Specific Weight - (Measured in Newton per Cubic Meter) - Specific Weight is defined as weight per unit volume. It is the specific weight of the liquid for which the calculation is being done.
Diameter of Tube - (Measured in Meter) - Diameter of tube is defined as the OUTSIDE DIAMETER (O.D.), specified in inches (e.g., 1.250) or fraction of an inch (eg. 1-1/4″).

STEP 1: Convert Input(s) to Base Unit

Surface Tension: 72.75 Newton per Meter --> 72.75 Newton per Meter No Conversion Required
Theta: 8 Degree --> 0.13962634015952 Radian (Check conversion here)
Specific Weight: 112 Newton per Cubic Meter --> 112 Newton per Cubic Meter No Conversion Required
Diameter of Tube: 3000 Millimeter --> 3 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_capillarity = (4*σ*cos(θ))/(γ*d) --> (4*72.75*cos(0.13962634015952))/(112*3)

Evaluating ... ...

h_capillarity = 0.857642880963685

STEP 3: Convert Result to Output's Unit

0.857642880963685 Meter -->857.642880963685 Millimeter (Check conversion here)

FINAL ANSWER

857.642880963685 ≈ 857.6429 Millimeter <-- Capillarity Height

(Calculation completed in 00.004 seconds)

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< 9 Liquid Properties Measuring Equipments Calculators

Theoretical discharge for Venturimeter

Go Rate of flow = (Area of cross section at inlet*Area of Cross section at Throat*(sqrt(2*Acceleration Due To Gravity*Venturi Head)))/(sqrt((Area of cross section at inlet)^(2)-(Area of Cross section at Throat)^(2)))

Capillarity through Circular Tube Inserted in Liquid of S1 above Liquid of S2

Go Capillarity Height = (2*Surface Tension*cos(Theta))/(Specific weight of liquid*Radius Of Circular Tube*(Specific Gravity of Liquid 1-Specific Gravity of Liquid 2))

Height of liquid in tube

Go Height of Liquid in Tube = (4*Surface Tension*cos(Theta))/(Density of Liquid*Acceleration Due To Gravity*Diameter of Tube)

Capillarity through Annular Space

Go Capillarity Height = (2*Surface Tension*cos(Theta))/(Specific Weight*(Outer Radius Of Tube-Inner Radius Of Tube))

Discharge through Elbow Meter

Go Rate of flow = Coefficient of Discharge of Elbow meter*Cross sectional area of Pipe*(sqrt(2*Acceleration Due To Gravity*Elbowmeter Height))

Capillarity through Parallel Plates

Go Capillarity Height = (2*Surface Tension*cos(Theta))/(Specific Weight*Uniform Gap between Vertical Plates)

U-Tube Manometer equation

Go Pressure a = (Specific Weight of Manometer liquid*Height of Manometer Liquid)-(Specific Weight 1*Height of Column 1)

Height of Capillary Rise

Go Capillarity Height = (4*Surface Tension*cos(Theta))/(Specific Weight*Diameter of Tube)

Angle of Inclined Manometer

Go Angle = asin(1/Sensitivity)

Height of Capillary Rise Formula

Capillarity Height = (4*Surface Tension*cos(Theta))/(Specific Weight*Diameter of Tube)
h_capillarity = (4*σ*cos(θ))/(γ*d)

What is capillarity?

Capillary rise or capillarity is a phenomenon in which liquid spontaneously rises or falls in a narrow space such as a thin tube or in the voids of a porous material. Surface tension is an important factor in the phenomenon of capillarity. The surface adhesion forces or internal cohesion present at the interface between a liquid and a solid stretch the liquid and form a curved surface called a meniscus. The characteristic height is the distance from the bottom of the meniscus to the base and exists when the Laplace pressure and the pressure due to gravity are balanced.

How to Calculate Height of Capillary Rise?

Height of Capillary Rise calculator uses Capillarity Height = (4*Surface Tension*cos(Theta))/(Specific Weight*Diameter of Tube) to calculate the Capillarity Height, Height of capillary rise is, when a capillary tube is inserted into a liquid, the liquid will rise or fall in the tube, due to an imbalance in pressure. Capillarity Height is denoted by h_capillarity symbol.

How to calculate Height of Capillary Rise using this online calculator? To use this online calculator for Height of Capillary Rise, enter Surface Tension (σ), Theta (θ), Specific Weight (γ) & Diameter of Tube (d) and hit the calculate button. Here is how the Height of Capillary Rise calculation can be explained with given input values -> 857642.9 = (4*72.75*cos(0.13962634015952))/(112*3).

FAQ

What is Height of Capillary Rise?

Height of capillary rise is, when a capillary tube is inserted into a liquid, the liquid will rise or fall in the tube, due to an imbalance in pressure and is represented as h_capillarity = (4*σ*cos(θ))/(γ*d) or Capillarity Height = (4*Surface Tension*cos(Theta))/(Specific Weight*Diameter of Tube). Surface Tension is a word that is linked to the liquid surface. It is a physical property of liquids, in which the molecules are drawn onto every side, Theta is the angle of contact between liquid and the boundary of capillary tube, Specific Weight is defined as weight per unit volume. It is the specific weight of the liquid for which the calculation is being done & Diameter of tube is defined as the OUTSIDE DIAMETER (O.D.), specified in inches (e.g., 1.250) or fraction of an inch (eg. 1-1/4″).

How to calculate Height of Capillary Rise?

Height of capillary rise is, when a capillary tube is inserted into a liquid, the liquid will rise or fall in the tube, due to an imbalance in pressure is calculated using Capillarity Height = (4*Surface Tension*cos(Theta))/(Specific Weight*Diameter of Tube). To calculate Height of Capillary Rise, you need Surface Tension (σ), Theta (θ), Specific Weight (γ) & Diameter of Tube (d). With our tool, you need to enter the respective value for Surface Tension, Theta, Specific Weight & Diameter of Tube and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Capillarity Height?

In this formula, Capillarity Height uses Surface Tension, Theta, Specific Weight & Diameter of Tube. We can use 3 other way(s) to calculate the same, which is/are as follows -

Capillarity Height = (2*Surface Tension*cos(Theta))/(Specific Weight*(Outer Radius Of Tube-Inner Radius Of Tube))
Capillarity Height = (2*Surface Tension*cos(Theta))/(Specific weight of liquid*Radius Of Circular Tube*(Specific Gravity of Liquid 1-Specific Gravity of Liquid 2))
Capillarity Height = (2*Surface Tension*cos(Theta))/(Specific Weight*Uniform Gap between Vertical Plates)

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