Height of liquid in tube 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%
✖Density of Liquid is mass of a unit volume of a material substance.ⓘ Density of Liquid [ρ_l]			+10% -10%
✖The Acceleration Due To Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration Due To Gravity [g]			+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%

✖Height of liquid in tube is defined as the maximum height of liquid in a capillary tube is inversely proportional to the tube's diameter.ⓘ Height of liquid in tube [h_liquid]

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Formula

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Height of liquid in tube

Formula

`"h"_{"liquid"} = (4*"σ"*cos("θ"))/("ρ"_{"l"}*"g"*"d")`

Example

`"2450.408mm"=(4*"72.75N/m"*cos("8°"))/("4kg/m³"*"9.8m/s²"*"3000mm")`

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Height of liquid in tube Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Liquid in Tube = (4*Surface Tension*cos(Theta))/(Density of Liquid*Acceleration Due To Gravity*Diameter of Tube)
h_liquid = (4*σ*cos(θ))/(ρ_l*g*d)
This formula uses 1 Functions, 6 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

Height of Liquid in Tube - (Measured in Meter) - Height of liquid in tube is defined as the maximum height of liquid in a capillary tube is inversely proportional to the tube's diameter.
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.
Density of Liquid - (Measured in Kilogram per Cubic Meter) - Density of Liquid is mass of a unit volume of a material substance.
Acceleration Due To Gravity - (Measured in Meter per Square Second) - The Acceleration Due To Gravity is acceleration gained by an object because of gravitational force.
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)
Density of Liquid: 4 Kilogram per Cubic Meter --> 4 Kilogram per Cubic Meter No Conversion Required
Acceleration Due To Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Diameter of Tube: 3000 Millimeter --> 3 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_liquid = (4*σ*cos(θ))/(ρ_l*g*d) --> (4*72.75*cos(0.13962634015952))/(4*9.8*3)

Evaluating ... ...

h_liquid = 2.45040823132481

STEP 3: Convert Result to Output's Unit

2.45040823132481 Meter -->2450.40823132481 Millimeter (Check conversion here)

FINAL ANSWER

2450.40823132481 ≈ 2450.408 Millimeter <-- Height of Liquid in Tube

(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 liquid in tube Formula

Height of Liquid in Tube = (4*Surface Tension*cos(Theta))/(Density of Liquid*Acceleration Due To Gravity*Diameter of Tube)
h_liquid = (4*σ*cos(θ))/(ρ_l*g*d)

What is the height of liquid in capillary tube?

The capillary rise is inversely proportional to the tube radius. It can be also applied to the case where the liquid level in the tube decreases below the outer liquid surface; this situation happens when θ=90°. The maximum possible height that a liquid can reach corresponds to θ=0 and is h=2γ/ρgR.

When height of a tube is less than liquid?

When height of a tube is less than liquid rise in the capillary tube, the liquid does not overflow.

How to Calculate Height of liquid in tube?

Height of liquid in tube calculator uses Height of Liquid in Tube = (4*Surface Tension*cos(Theta))/(Density of Liquid*Acceleration Due To Gravity*Diameter of Tube) to calculate the Height of Liquid in Tube, The Height of liquid in tube formula is defined as the maximum height of liquid in a capillary tube that is inversely proportional to the tube's diameter. Height of Liquid in Tube is denoted by h_liquid symbol.

How to calculate Height of liquid in tube using this online calculator? To use this online calculator for Height of liquid in tube, enter Surface Tension (σ), Theta (θ), Density of Liquid (ρ_l), Acceleration Due To Gravity (g) & Diameter of Tube (d) and hit the calculate button. Here is how the Height of liquid in tube calculation can be explained with given input values -> 2.5E+6 = (4*72.75*cos(0.13962634015952))/(4*9.8*3).

FAQ

What is Height of liquid in tube?

The Height of liquid in tube formula is defined as the maximum height of liquid in a capillary tube that is inversely proportional to the tube's diameter and is represented as h_liquid = (4*σ*cos(θ))/(ρ_l*g*d) or Height of Liquid in Tube = (4*Surface Tension*cos(Theta))/(Density of Liquid*Acceleration Due To Gravity*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, Density of Liquid is mass of a unit volume of a material substance, The Acceleration Due To Gravity is acceleration gained by an object because of gravitational force & 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 liquid in tube?

The Height of liquid in tube formula is defined as the maximum height of liquid in a capillary tube that is inversely proportional to the tube's diameter is calculated using Height of Liquid in Tube = (4*Surface Tension*cos(Theta))/(Density of Liquid*Acceleration Due To Gravity*Diameter of Tube). To calculate Height of liquid in tube, you need Surface Tension (σ), Theta (θ), Density of Liquid (ρ_l), Acceleration Due To Gravity (g) & Diameter of Tube (d). With our tool, you need to enter the respective value for Surface Tension, Theta, Density of Liquid, Acceleration Due To Gravity & Diameter of Tube and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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