FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Height of Capillary Rise in Capillary Tube Formula

Fx Copy

LaTeX Copy

Height of Capillary Rise is the level to which the water rises or falls in a capillary tube. Check FAQs

h Capillary = \frac{2 \cdot σ s \cdot (\cos (Φ))}{ρ \cdot [g] \cdot R c}

h_Capillary - Height of Capillary Rise?σ_s - Surface Tension?Φ - Contact Angle?ρ - Density?R_c - Radius of Capillary Tube?[g] - Gravitational acceleration on Earth?

Height of Capillary Rise in Capillary Tube Example

With values

With units

Only example

Here is how the Height of Capillary Rise in Capillary Tube equation looks like with Values.

Here is how the Height of Capillary Rise in Capillary Tube equation looks like with Units.

Here is how the Height of Capillary Rise in Capillary Tube equation looks like.

18.8467 = \frac{2 \cdot 70 \cdot (\cos (30))}{0.3905 \cdot 9.8066 \cdot 1.68}

18.8467m = \frac{2 \cdot 70N/m \cdot (\cos (30°))}{0.3905kg/m³ \cdot 9.8066m/s² \cdot 1.68m}

18.8467 = \frac{2 \cdot 70 \cdot (\cos (30))}{0.3905 \cdot 9.8066 \cdot 1.68}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Chemical Engineering » Category

Fluid Dynamics » fx Height of Capillary Rise in Capillary Tube

Height of Capillary Rise in Capillary Tube Solution

Follow our step by step solution on how to calculate Height of Capillary Rise in Capillary Tube?

FIRST Step Consider the formula

h Capillary = \frac{2 \cdot σ s \cdot (\cos (Φ))}{ρ \cdot [g] \cdot R c}

Next Step Substitute values of Variables

∴

h Capillary = \frac{2 \cdot 70N/m \cdot (\cos (30°))}{0.3905kg/m³ \cdot [g] \cdot 1.68m}

Next Step Substitute values of Constants

∴

h Capillary = \frac{2 \cdot 70N/m \cdot (\cos (30°))}{0.3905kg/m³ \cdot 9.8066m/s² \cdot 1.68m}

Next Step Convert Units

∴

h Capillary = \frac{2 \cdot 70N/m \cdot (\cos (0.5236rad))}{0.3905kg/m³ \cdot 9.8066m/s² \cdot 1.68m}

Next Step Prepare to Evaluate

∴

h Capillary = \frac{2 \cdot 70 \cdot (\cos (0.5236))}{0.3905 \cdot 9.8066 \cdot 1.68}

Next Step Evaluate

∴

h Capillary = 18.846658631383m

LAST Step Rounding Answer

∴

h Capillary = 18.8467m

Height of Capillary Rise in Capillary Tube Formula Elements

Variables

Constants

Functions

Height of Capillary Rise

Height of Capillary Rise is the level to which the water rises or falls in a capillary tube.

Symbol: h_Capillary

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Height of Capillary Rise

Surface Tension

Surface Tension is the property of the surface of a liquid that allows it to resist an external force, due to the cohesive nature of its molecules.

Symbol: σ_s

Measurement: Surface TensionUnit: N/m

Note: Value can be positive or negative.

Formulas to find Surface Tension

Contact Angle

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: Φ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Contact Angle

Density

Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density

Radius of Capillary Tube

Radius of Capillary Tube is defined as the distance between the center of the tube to the periphery of tube.

Symbol: R_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Capillary Tube

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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 in Properties of Fluids category

Go Specific Volume of Fluid given Mass

v = \frac{V T}{m}

Go Specific Total Energy

e = \frac{E}{m}

Go Specific Volume given Density

v = \frac{1}{ρ}

Go Density of Fluid

ρ = \frac{m}{V T}

How to Evaluate Height of Capillary Rise in Capillary Tube?

Height of Capillary Rise in Capillary Tube evaluator uses Height of Capillary Rise = (2*Surface Tension*(cos(Contact Angle)))/(Density*[g]*Radius of Capillary Tube) to evaluate the Height of Capillary Rise, The Height of Capillary Rise in Capillary Tube formula is defined as the function of surface tension, contact angle, density, density and Radius of capillary. This relation is also valid for nonwetting liquids (such as mercury in glass) and gives the capillary drop. In this case ϕ > 90° and thus cos ϕ < 0, which makes h negative. Therefore, a negative value of capillary rise corresponds to a capillary drop. Note that the capillary rise is inversely proportional to the radius of the tube. Therefore, the thinner the tube is, the greater the rise (or fall) of the liquid in the tube. In practice, the capillary effect for water is usually negligible in tubes whose diameter is greater than 1 cm. Height of Capillary Rise is denoted by h_Capillary symbol.

How to evaluate Height of Capillary Rise in Capillary Tube using this online evaluator? To use this online evaluator for Height of Capillary Rise in Capillary Tube, enter Surface Tension (σ_s), Contact Angle (Φ), Density (ρ) & Radius of Capillary Tube (R_c) and hit the calculate button.

FAQs on Height of Capillary Rise in Capillary Tube

What is the formula to find Height of Capillary Rise in Capillary Tube?

The formula of Height of Capillary Rise in Capillary Tube is expressed as Height of Capillary Rise = (2*Surface Tension*(cos(Contact Angle)))/(Density*[g]*Radius of Capillary Tube). Here is an example- 18.84666 = (2*70*(cos(0.5235987755982)))/(0.390476*[g]*1.68).

How to calculate Height of Capillary Rise in Capillary Tube?

With Surface Tension (σ_s), Contact Angle (Φ), Density (ρ) & Radius of Capillary Tube (R_c) we can find Height of Capillary Rise in Capillary Tube using the formula - Height of Capillary Rise = (2*Surface Tension*(cos(Contact Angle)))/(Density*[g]*Radius of Capillary Tube). This formula also uses Gravitational acceleration on Earth constant(s) and Cosine (cos) function(s).

Can the Height of Capillary Rise in Capillary Tube be negative?

Yes, the Height of Capillary Rise in Capillary Tube, measured in Length can be negative.

Which unit is used to measure Height of Capillary Rise in Capillary Tube?

Height of Capillary Rise in Capillary Tube is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Capillary Rise in Capillary Tube can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Height of Capillary Rise in Capillary Tube Formula

Height of Capillary Rise in Capillary Tube Example

Height of Capillary Rise in Capillary Tube Solution

Height of Capillary Rise in Capillary Tube Formula Elements

Other formulas in Properties of Fluids category

How to Evaluate Height of Capillary Rise in Capillary Tube?

FAQs on Height of Capillary Rise in Capillary Tube

Variable Name