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Capillary Rise or Depression of Fluid Formula

GoCapillary Rise when Contact is between Water and Glass Formula

GoCapillary Rise or Depression when Tube is inserted in two Liquids 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)}{G f \cdot r t \cdot W \cdot 1000}

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

Capillary Rise or Depression of Fluid Example

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Here is how the Capillary Rise or Depression of Fluid equation looks like with Values.

Here is how the Capillary Rise or Depression of Fluid equation looks like with Units.

Here is how the Capillary Rise or Depression of Fluid equation looks like.

0.0002 = \frac{2 \cdot 72.75 \cdot \cos (10)}{14 \cdot 5.1 \cdot 9.81 \cdot 1000}

0.0002m = \frac{2 \cdot 72.75N/m \cdot \cos (10°)}{14 \cdot 5.1m \cdot 9.81kN/m³ \cdot 1000}

0.0002 = \frac{2 \cdot 72.75 \cdot \cos (10)}{14 \cdot 5.1 \cdot 9.81 \cdot 1000}

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Capillary Rise or Depression of Fluid Solution

Follow our step by step solution on how to calculate Capillary Rise or Depression of Fluid?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h c = \frac{2 \cdot 72.75N/m \cdot \cos (10°)}{14 \cdot 5.1m \cdot 9.81kN/m³ \cdot 1000}

Next Step Convert Units

∴

h c = \frac{2 \cdot 72.75N/m \cdot \cos (0.1745rad)}{14 \cdot 5.1m \cdot 9.81kN/m³ \cdot 1000}

Next Step Prepare to Evaluate

∴

h c = \frac{2 \cdot 72.75 \cdot \cos (0.1745)}{14 \cdot 5.1 \cdot 9.81 \cdot 1000}

Next Step Evaluate

∴

h c = 0.000204572490860348m

LAST Step Rounding Answer

∴

h c = 0.0002m

Capillary Rise or Depression of Fluid 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.

Formulas to find Capillary Rise (or Depression)

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.

Formulas to find Surface Tension

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.

Formulas to find Contact Angle

Specific Gravity of Fluid

Specific Gravity of Fluid is the ratio of the specific weight of a substance to the specific weight of a standard fluid.

Symbol: G_f

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Specific Gravity of Fluid

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.

Formulas to find Radius of Tube

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.

Formulas to find Specific Weight of Water in KN per cubic meter

cos

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

Syntax: cos(Angle)

Other Formulas to find Capillary Rise (or Depression)

Go Capillary Rise when Contact is between Water and Glass

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

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

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

Go Capillary Rise or Depression when two Vertical Parallel Plates are Partially Immersed in Liquid

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

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}

Go Absolute Pressure using Gas Density

P ab = T \cdot ρ gas \cdot R

Go Absolute Temperature of Gas

T = \frac{P ab}{R \cdot ρ gas}

How to Evaluate Capillary Rise or Depression of Fluid?

Capillary Rise or Depression of Fluid evaluator uses 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) to evaluate the Capillary Rise (or Depression), The Capillary Rise or Depression of Fluid formula is defined as a function of Surface Tension, Specific Gravity of Fluid, Radius of Tube and Specific Weight of Water. The above expression for the capillary rise (or depression) is based on the assumption that the meniscus or the curved liquid surface is a section of a sphere. Capillary Rise (or Depression) is denoted by h_c symbol.

How to evaluate Capillary Rise or Depression of Fluid using this online evaluator? To use this online evaluator for Capillary Rise or Depression of Fluid, enter Surface Tension (σ), Contact Angle (θ), Specific Gravity of Fluid (G_f), Radius of Tube (r_t) & Specific Weight of Water in KN per cubic meter (W) and hit the calculate button.

FAQs on Capillary Rise or Depression of Fluid

What is the formula to find Capillary Rise or Depression of Fluid?

The formula of Capillary Rise or Depression of Fluid is expressed as 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). Here is an example- 0.000191 = (2*72.75*cos(0.1745329251994))/(14*5.1*9810*1000).

How to calculate Capillary Rise or Depression of Fluid?

With Surface Tension (σ), Contact Angle (θ), Specific Gravity of Fluid (G_f), Radius of Tube (r_t) & Specific Weight of Water in KN per cubic meter (W) we can find Capillary Rise or Depression of Fluid using the formula - 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). 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)/(Radius of Tube*Specific Weight of Water in KN per cubic meter*1000)
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)
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 of Fluid be negative?

No, the Capillary Rise or Depression of Fluid, measured in Length cannot be negative.

Which unit is used to measure Capillary Rise or Depression of Fluid?

Capillary Rise or Depression of Fluid 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 of Fluid can be measured.

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Capillary Rise or Depression of Fluid Formula

​GoCapillary Rise when Contact is between Water and Glass Formula

​GoCapillary Rise or Depression when Tube is inserted in two Liquids Formula

Capillary Rise or Depression of Fluid Example

Capillary Rise or Depression of Fluid Solution

Capillary Rise or Depression of Fluid Formula Elements

Other Formulas to find Capillary Rise (or Depression)

Other formulas in Properties of Fluid category

How to Evaluate Capillary Rise or Depression of Fluid?

FAQs on Capillary Rise or Depression of Fluid

Variable Name

GoCapillary Rise when Contact is between Water and Glass Formula

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