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Discharge through Pipe given Pressure Gradient Formula

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The Discharge in Pipe refers to the volume of fluid (such as water) that passes through the pipe per unit of time. Check FAQs

Q = (\frac{π}{8 \cdot μ}) \cdot (R^{4}) \cdot dp|dr

Q - Discharge in Pipe?μ - Dynamic Viscosity?R - Radius of pipe?dp|dr - Pressure Gradient?π - Archimedes' constant?

Discharge through Pipe given Pressure Gradient Example

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Here is how the Discharge through Pipe given Pressure Gradient equation looks like with Values.

Here is how the Discharge through Pipe given Pressure Gradient equation looks like with Units.

Here is how the Discharge through Pipe given Pressure Gradient equation looks like.

0.0024 = (\frac{3.1416}{8 \cdot 10.2}) \cdot (138^{4}) \cdot 17

0.0024m³/s = (\frac{3.1416}{8 \cdot 10.2P}) \cdot ({138mm}^{4}) \cdot 17N/m³

0.0024 = (\frac{3.1416}{8 \cdot 10.2}) \cdot (138^{4}) \cdot 17

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Discharge through Pipe given Pressure Gradient Solution

Follow our step by step solution on how to calculate Discharge through Pipe given Pressure Gradient?

FIRST Step Consider the formula

Q = (\frac{π}{8 \cdot μ}) \cdot (R^{4}) \cdot dp|dr

Next Step Substitute values of Variables

∴

Q = (\frac{π}{8 \cdot 10.2P}) \cdot ({138mm}^{4}) \cdot 17N/m³

Next Step Substitute values of Constants

∴

Q = (\frac{3.1416}{8 \cdot 10.2P}) \cdot ({138mm}^{4}) \cdot 17N/m³

Next Step Convert Units

∴

Q = (\frac{3.1416}{8 \cdot 1.02Pa*s}) \cdot ({0.138m}^{4}) \cdot 17N/m³

Next Step Prepare to Evaluate

∴

Q = (\frac{3.1416}{8 \cdot 1.02}) \cdot ({0.138}^{4}) \cdot 17

Next Step Evaluate

∴

Q = 0.0023736953603877m³/s

LAST Step Rounding Answer

∴

Q = 0.0024m³/s

Discharge through Pipe given Pressure Gradient Formula Elements

Variables

Constants

Discharge in Pipe

The Discharge in Pipe refers to the volume of fluid (such as water) that passes through the pipe per unit of time.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge in Pipe

Dynamic Viscosity

The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.

Symbol: μ

Measurement: Dynamic ViscosityUnit: P

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity

Radius of pipe

The Radius of Pipe refers to the distance from the center of the pipe to its inner wall.

Symbol: R

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of pipe

Pressure Gradient

The Pressure Gradient refers to the rate of change of pressure in a particular direction indicating how quickly the pressure increases or decreases around a specific location.

Symbol: dp|dr

Measurement: Pressure GradientUnit: N/m³

Note: Value should be greater than 0.

Formulas to find Pressure Gradient

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 Steady Laminar Flow in Circular Pipes category

Go Shear Stress at any Cylindrical Element

𝜏 = dp|dr \cdot \frac{d radial}{2}

Go Distance of Element from Center line given Shear Stress at any Cylindrical Element

d radial = 2 \cdot \frac{𝜏}{dp|dr}

Go Shear Stress at any Cylindrical Element given Head Loss

𝜏 = \frac{γ f \cdot h \cdot d radial}{2 \cdot L p}

Go Distance of Element from Center Line given Head Loss

d radial = 2 \cdot 𝜏 \cdot \frac{L p}{h \cdot γ f}

How to Evaluate Discharge through Pipe given Pressure Gradient?

Discharge through Pipe given Pressure Gradient evaluator uses Discharge in Pipe = (pi/(8*Dynamic Viscosity))*(Radius of pipe^4)*Pressure Gradient to evaluate the Discharge in Pipe, The Discharge through Pipe given pressure gradient is defined as the total volume of fluid coming in and going through the pipe at a section. Discharge in Pipe is denoted by Q symbol.

How to evaluate Discharge through Pipe given Pressure Gradient using this online evaluator? To use this online evaluator for Discharge through Pipe given Pressure Gradient, enter Dynamic Viscosity (μ), Radius of pipe (R) & Pressure Gradient (dp|dr) and hit the calculate button.

FAQs on Discharge through Pipe given Pressure Gradient

What is the formula to find Discharge through Pipe given Pressure Gradient?

The formula of Discharge through Pipe given Pressure Gradient is expressed as Discharge in Pipe = (pi/(8*Dynamic Viscosity))*(Radius of pipe^4)*Pressure Gradient. Here is an example- 0.010472 = (pi/(8*1.02))*(0.138^4)*17.

How to calculate Discharge through Pipe given Pressure Gradient?

With Dynamic Viscosity (μ), Radius of pipe (R) & Pressure Gradient (dp|dr) we can find Discharge through Pipe given Pressure Gradient using the formula - Discharge in Pipe = (pi/(8*Dynamic Viscosity))*(Radius of pipe^4)*Pressure Gradient. This formula also uses Archimedes' constant .

Can the Discharge through Pipe given Pressure Gradient be negative?

Yes, the Discharge through Pipe given Pressure Gradient, measured in Volumetric Flow Rate can be negative.

Which unit is used to measure Discharge through Pipe given Pressure Gradient?

Discharge through Pipe given Pressure Gradient 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 through Pipe given Pressure Gradient can be measured.

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Discharge through Pipe given Pressure Gradient Formula

Discharge through Pipe given Pressure Gradient Example

Discharge through Pipe given Pressure Gradient Solution

Discharge through Pipe given Pressure Gradient Formula Elements

Other formulas in Steady Laminar Flow in Circular Pipes category

How to Evaluate Discharge through Pipe given Pressure Gradient?

FAQs on Discharge through Pipe given Pressure Gradient

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