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Capillary Rise or Depression when Tube is inserted in two Liquids Formula

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GoCapillary Rise or Depression of Fluid Formula

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GoCapillary Rise when Contact is between Water and Glass Formula

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Capillary Rise (or Depression) is the rise or fall in a liquid due to a net upward force produced by the attraction of the liquid molecules to a solid surface. Check FAQs

h c = \frac{2 \cdot σ \cdot \cos (θ)}{r t \cdot W \cdot (S 1 - S 2) \cdot 1000}

h_c - Capillary Rise (or Depression)?σ - Surface Tension?θ - Contact Angle?r_t - Radius of Tube?W - Specific Weight of Water in KN per cubic meter?S₁ - Specific Gravity of Liquid 1?S₂ - Specific Gravity of Liquid 2?

Capillary Rise or Depression when Tube is inserted in two Liquids Example

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Here is how the Capillary Rise or Depression when Tube is inserted in two Liquids equation looks like with Values.

Here is how the Capillary Rise or Depression when Tube is inserted in two Liquids equation looks like with Units.

Here is how the Capillary Rise or Depression when Tube is inserted in two Liquids equation looks like.

0.0029 = \frac{2 \cdot 72.75 \cdot \cos (10)}{5.1 \cdot 9.81 \cdot (5 - 4) \cdot 1000}

0.0029m = \frac{2 \cdot 72.75N/m \cdot \cos (10°)}{5.1m \cdot 9.81kN/m³ \cdot (5 - 4) \cdot 1000}

0.0029 = \frac{2 \cdot 72.75 \cdot \cos (10)}{5.1 \cdot 9.81 \cdot (5 - 4) \cdot 1000}

Tip: Use pencil () icon above to edit Input Values and Units.

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Capillary Rise or Depression when Tube is inserted in two Liquids Solution

Follow our step by step solution on how to calculate Capillary Rise or Depression when Tube is inserted in two Liquids?

FIRST Step Consider the formula

h c = \frac{2 \cdot σ \cdot \cos (θ)}{r t \cdot W \cdot (S 1 - S 2) \cdot 1000}

Next Step Substitute values of Variables

∴

h c = \frac{2 \cdot 72.75N/m \cdot \cos (10°)}{5.1m \cdot 9.81kN/m³ \cdot (5 - 4) \cdot 1000}

Next Step Convert Units

∴

h c = \frac{2 \cdot 72.75N/m \cdot \cos (0.1745rad)}{5.1m \cdot 9.81kN/m³ \cdot (5 - 4) \cdot 1000}

Next Step Prepare to Evaluate

∴

h c = \frac{2 \cdot 72.75 \cdot \cos (0.1745)}{5.1 \cdot 9.81 \cdot (5 - 4) \cdot 1000}

Next Step Evaluate

∴

h c = 0.00286401487204487m

LAST Step Rounding Answer

∴

h c = 0.0029m

Capillary Rise or Depression when Tube is inserted in two Liquids Formula Elements

Variables

Functions

Capillary Rise (or Depression)

Capillary Rise (or Depression) is the rise or fall in a liquid due to a net upward force produced by the attraction of the liquid molecules to a solid surface.

Symbol: h_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Surface Tension

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.

Symbol: σ

Measurement: Surface TensionUnit: N/m

Note: Value should be greater than 0.

Contact Angle

The Contact Angle is an angle that a liquid creates with a solid surface or capillary walls of a porous material when both materials come in contact together.

Symbol: θ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Radius of Tube

Radius of Tube is defined as the distance from longitudinal axis of tube to the periphery perpendicularly.

Symbol: r_t

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Specific Weight of Water in KN per cubic meter

Specific Weight of Water in KN per cubic meter is the weight per unit volume of water.

Symbol: W

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Specific Gravity of Liquid 1

Specific Gravity of Liquid 1 is the density of that liquid divided by the density of water.

Symbol: S₁

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Specific Gravity of Liquid 2

Specific Gravity of Liquid 2 is the density of that liquid divided by the density of water.

Symbol: S₂

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Credits

Creator Image

Created by Alithea Fernandes

Don Bosco College of Engineering (DBCE), Goa

Alithea Fernandes has created this Formula and 100+ more formulas!

Verifier Image

Verified by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has verified this Formula and 400+ more formulas!

Other Formulas to find Capillary Rise (or Depression)

Go Capillary Rise or Depression of Fluid

h c = \frac{2 \cdot σ \cdot \cos (θ)}{G f \cdot r t \cdot W \cdot 1000}

Go Capillary Rise when Contact is between Water and Glass

h c = \frac{2 \cdot σ}{r t \cdot W \cdot 1000}

Other formulas in Properties of Fluid category

Go Specific Volume of Fluid

v = \frac{1}{ρ f}

Go Specific Gravity of Fluid

G f = \frac{S}{ϒ s}

See More

How to Evaluate Capillary Rise or Depression when Tube is inserted in two Liquids?

Capillary Rise or Depression when Tube is inserted in two Liquids evaluator uses Capillary Rise (or Depression) = (2*Surface Tension*cos(Contact Angle))/(Radius of Tube*Specific Weight of Water in KN per cubic meter*(Specific Gravity of Liquid 1-Specific Gravity of Liquid 2)*1000) to evaluate the Capillary Rise (or Depression), The Capillary Rise or Depression when Tube is inserted in two Liquids formula is defined as a function of surface tension, radius of tube, contact angle, specific weight of water and specific gravity of both the liquids. Capillary Rise (or Depression) is denoted by h_c symbol.

How to evaluate Capillary Rise or Depression when Tube is inserted in two Liquids using this online evaluator? To use this online evaluator for Capillary Rise or Depression when Tube is inserted in two Liquids, enter Surface Tension (σ), Contact Angle (θ), Radius of Tube (r_t), Specific Weight of Water in KN per cubic meter (W), Specific Gravity of Liquid 1 (S₁) & Specific Gravity of Liquid 2 (S₂) and hit the calculate button.

FAQs on Capillary Rise or Depression when Tube is inserted in two Liquids

What is the formula to find Capillary Rise or Depression when Tube is inserted in two Liquids?

The formula of Capillary Rise or Depression when Tube is inserted in two Liquids is expressed as Capillary Rise (or Depression) = (2*Surface Tension*cos(Contact Angle))/(Radius of Tube*Specific Weight of Water in KN per cubic meter*(Specific Gravity of Liquid 1-Specific Gravity of Liquid 2)*1000). Here is an example- 0.002864 = (2*72.75*cos(0.1745329251994))/(5.1*9810*(5-4)*1000).

How to calculate Capillary Rise or Depression when Tube is inserted in two Liquids?

With Surface Tension (σ), Contact Angle (θ), Radius of Tube (r_t), Specific Weight of Water in KN per cubic meter (W), Specific Gravity of Liquid 1 (S₁) & Specific Gravity of Liquid 2 (S₂) we can find Capillary Rise or Depression when Tube is inserted in two Liquids using the formula - Capillary Rise (or Depression) = (2*Surface Tension*cos(Contact Angle))/(Radius of Tube*Specific Weight of Water in KN per cubic meter*(Specific Gravity of Liquid 1-Specific Gravity of Liquid 2)*1000). This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Capillary Rise (or Depression)?

Here are the different ways to Calculate Capillary Rise (or Depression)-

Capillary Rise (or Depression)=(2*Surface Tension*cos(Contact Angle))/(Specific Gravity of Fluid*Radius of Tube*Specific Weight of Water in KN per cubic meter*1000)
Capillary Rise (or Depression)=(2*Surface Tension)/(Radius of Tube*Specific Weight of Water in KN per cubic meter*1000)
Capillary Rise (or Depression)=(2*Surface Tension*(cos(Contact Angle)))/(Specific Weight of Water in KN per cubic meter*Specific Gravity of Fluid*Distance between Vertical Plates)

Can the Capillary Rise or Depression when Tube is inserted in two Liquids be negative?

No, the Capillary Rise or Depression when Tube is inserted in two Liquids, measured in Length cannot be negative.

Which unit is used to measure Capillary Rise or Depression when Tube is inserted in two Liquids?

Capillary Rise or Depression when Tube is inserted in two Liquids is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Capillary Rise or Depression when Tube is inserted in two Liquids can be measured.

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