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Discharge in Capillary Tube Method Formula

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Discharge in Capillary Tube is the rate of flow of a liquid. Check FAQs

Q = \frac{4 \cdot π \cdot ρ \cdot [g] \cdot h \cdot {r p}^{4}}{128 \cdot μ \cdot L}

Q - Discharge in Capillary Tube?ρ - Density of Liquid?h - Difference in Pressure Head?r_p - Radius of Pipe?μ - Viscosity of Fluid?L - Length of Pipe?[g] - Gravitational acceleration on Earth?π - Archimedes' constant?

Discharge in Capillary Tube Method Example

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Here is how the Discharge in Capillary Tube Method equation looks like with Values.

Here is how the Discharge in Capillary Tube Method equation looks like with Units.

Here is how the Discharge in Capillary Tube Method equation looks like.

0.6272 = \frac{4 \cdot 3.1416 \cdot 984.6633 \cdot 9.8066 \cdot 10.21 \cdot {0.2}^{4}}{128 \cdot 8.23 \cdot 3}

0.6272m³/s = \frac{4 \cdot 3.1416 \cdot 984.6633kg/m³ \cdot 9.8066m/s² \cdot 10.21m \cdot {0.2m}^{4}}{128 \cdot 8.23N*s/m² \cdot 3m}

0.6272 = \frac{4 \cdot 3.1416 \cdot 984.6633 \cdot 9.8066 \cdot 10.21 \cdot {0.2}^{4}}{128 \cdot 8.23 \cdot 3}

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Discharge in Capillary Tube Method Solution

Follow our step by step solution on how to calculate Discharge in Capillary Tube Method?

FIRST Step Consider the formula

Q = \frac{4 \cdot π \cdot ρ \cdot [g] \cdot h \cdot {r p}^{4}}{128 \cdot μ \cdot L}

Next Step Substitute values of Variables

∴

Q = \frac{4 \cdot π \cdot 984.6633kg/m³ \cdot [g] \cdot 10.21m \cdot {0.2m}^{4}}{128 \cdot 8.23N*s/m² \cdot 3m}

Next Step Substitute values of Constants

∴

Q = \frac{4 \cdot 3.1416 \cdot 984.6633kg/m³ \cdot 9.8066m/s² \cdot 10.21m \cdot {0.2m}^{4}}{128 \cdot 8.23N*s/m² \cdot 3m}

Next Step Convert Units

∴

Q = \frac{4 \cdot 3.1416 \cdot 984.6633kg/m³ \cdot 9.8066m/s² \cdot 10.21m \cdot {0.2m}^{4}}{128 \cdot 8.23Pa*s \cdot 3m}

Next Step Prepare to Evaluate

∴

Q = \frac{4 \cdot 3.1416 \cdot 984.6633 \cdot 9.8066 \cdot 10.21 \cdot {0.2}^{4}}{128 \cdot 8.23 \cdot 3}

Next Step Evaluate

∴

Q = 0.627238858992695m³/s

LAST Step Rounding Answer

∴

Q = 0.6272m³/s

Discharge in Capillary Tube Method Formula Elements

Variables

Constants

Discharge in Capillary Tube

Discharge in Capillary Tube is the rate of flow of a liquid.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge in Capillary Tube

Density of Liquid

Density of Liquid refers to its mass per unit volume. It is a measure of how tightly packed the molecules are within the liquid and is typically denoted by the symbol ρ (rho).

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Liquid

Difference in Pressure Head

The Difference in pressure head is considered in the practical application of Bernoulli's equation.

Symbol: h

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Difference in Pressure Head

Radius of Pipe

Radius of Pipe typically refers to the distance from the center of the pipe to its outer surface.

Symbol: r_p

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Pipe

Viscosity of Fluid

The Viscosity of fluid is a measure of its resistance to deformation at a given rate.

Symbol: μ

Measurement: Dynamic ViscosityUnit: N*s/m²

Note: Value can be positive or negative.

Formulas to find Viscosity of Fluid

Length of Pipe

Length of Pipe refers to the distance between two points along the pipe's axis. It is a fundamental parameter used to describe the size and layout of a piping system.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Pipe

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

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Fluid Flow and Resistance category

Go Shear Stress in Fluid or Oil of Journal Bearing

𝜏 = \frac{π \cdot μ \cdot D s \cdot N}{60 \cdot t}

Go Shear Force or Viscous Resistance in Journal Bearing

F s = \frac{π^{2} \cdot μ \cdot N \cdot L \cdot {D s}^{2}}{t}

Go Drag Force in Falling Sphere Resistance Method

F D = 3 \cdot π \cdot μ \cdot U \cdot d

Go Buoyant Force in Falling Sphere Resistance Method

F B = \frac{π}{6} \cdot ρ \cdot [g] \cdot d^{3}

How to Evaluate Discharge in Capillary Tube Method?

Discharge in Capillary Tube Method evaluator uses Discharge in Capillary Tube = (4*pi*Density of Liquid*[g]*Difference in Pressure Head*Radius of Pipe^4)/(128*Viscosity of Fluid*Length of Pipe) to evaluate the Discharge in Capillary Tube, Discharge in Capillary Tube Method, discharge refers to the volume of fluid flowing through the capillary tube per unit time. The discharge rate is used to calculate the viscosity of the fluid based on the flow rate, tube dimensions, and pressure difference. Discharge in Capillary Tube is denoted by Q symbol.

How to evaluate Discharge in Capillary Tube Method using this online evaluator? To use this online evaluator for Discharge in Capillary Tube Method, enter Density of Liquid (ρ), Difference in Pressure Head (h), Radius of Pipe (r_p), Viscosity of Fluid (μ) & Length of Pipe (L) and hit the calculate button.

FAQs on Discharge in Capillary Tube Method

What is the formula to find Discharge in Capillary Tube Method?

The formula of Discharge in Capillary Tube Method is expressed as Discharge in Capillary Tube = (4*pi*Density of Liquid*[g]*Difference in Pressure Head*Radius of Pipe^4)/(128*Viscosity of Fluid*Length of Pipe). Here is an example- 0.635097 = (4*pi*984.6633*[g]*10.21*0.2^4)/(128*8.23*3).

How to calculate Discharge in Capillary Tube Method?

With Density of Liquid (ρ), Difference in Pressure Head (h), Radius of Pipe (r_p), Viscosity of Fluid (μ) & Length of Pipe (L) we can find Discharge in Capillary Tube Method using the formula - Discharge in Capillary Tube = (4*pi*Density of Liquid*[g]*Difference in Pressure Head*Radius of Pipe^4)/(128*Viscosity of Fluid*Length of Pipe). This formula also uses Gravitational acceleration on Earth, Archimedes' constant .

Can the Discharge in Capillary Tube Method be negative?

No, the Discharge in Capillary Tube Method, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Discharge in Capillary Tube Method?

Discharge in Capillary Tube Method is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Discharge in Capillary Tube Method can be measured.

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Discharge in Capillary Tube Method Formula

Discharge in Capillary Tube Method Example

Discharge in Capillary Tube Method Solution

Discharge in Capillary Tube Method Formula Elements

Other formulas in Fluid Flow and Resistance category

How to Evaluate Discharge in Capillary Tube Method?

FAQs on Discharge in Capillary Tube Method

Variable Name