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Discharge through Pipe given Head Loss in Turbulent Flow Formula

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Discharge is the volume of fluid that passes through a given cross-sectional area of the turbine per unit of time. Check FAQs

Q = \frac{P}{ρ f \cdot [g] \cdot h f}

Q - Discharge?P - Power?ρ_f - Density of Fluid?h_f - Head Loss Due to Friction?[g] - Gravitational acceleration on Earth?

Discharge through Pipe given Head Loss in Turbulent Flow Example

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Here is how the Discharge through Pipe given Head Loss in Turbulent Flow equation looks like with Values.

Here is how the Discharge through Pipe given Head Loss in Turbulent Flow equation looks like with Units.

Here is how the Discharge through Pipe given Head Loss in Turbulent Flow equation looks like.

3.0045 = \frac{170}{1.225 \cdot 9.8066 \cdot 4.71}

3.0045m³/s = \frac{170W}{1.225kg/m³ \cdot 9.8066m/s² \cdot 4.71m}

3.0045 = \frac{170}{1.225 \cdot 9.8066 \cdot 4.71}

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Discharge through Pipe given Head Loss in Turbulent Flow Solution

Follow our step by step solution on how to calculate Discharge through Pipe given Head Loss in Turbulent Flow?

FIRST Step Consider the formula

Q = \frac{P}{ρ f \cdot [g] \cdot h f}

Next Step Substitute values of Variables

∴

Q = \frac{170W}{1.225kg/m³ \cdot [g] \cdot 4.71m}

Next Step Substitute values of Constants

∴

Q = \frac{170W}{1.225kg/m³ \cdot 9.8066m/s² \cdot 4.71m}

Next Step Prepare to Evaluate

∴

Q = \frac{170}{1.225 \cdot 9.8066 \cdot 4.71}

Next Step Evaluate

∴

Q = 3.00449336983834m³/s

LAST Step Rounding Answer

∴

Q = 3.0045m³/s

Discharge through Pipe given Head Loss in Turbulent Flow Formula Elements

Variables

Constants

Discharge

Discharge is the volume of fluid that passes through a given cross-sectional area of the turbine per unit of time.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge

Power

Power is the amount of energy liberated per second in a device.

Symbol: P

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Power

Density of Fluid

Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.

Symbol: ρ_f

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Fluid

Head Loss Due to Friction

The Head Loss due to Friction occurs due to the effect of the fluid's viscosity near the surface of the pipe or duct.

Symbol: h_f

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Head Loss Due to Friction

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

Other formulas in Turbulent Flow category

Go Shear Velocity for Turbulent Flow in Pipes

V' = \sqrt{\frac{𝜏}{ρ f}}

Go Shear Stress Developed for Turbulent Flow in Pipes

𝜏 = ρ f \cdot {V'}^{2}

Go Roughness Reynold Number for Turbulent Flow in Pipes

Re = \frac{k \cdot V'}{v'}

Go Average Height of Irregularities for Turbulent Flow in Pipes

k = \frac{v' \cdot Re}{V'}

How to Evaluate Discharge through Pipe given Head Loss in Turbulent Flow?

Discharge through Pipe given Head Loss in Turbulent Flow evaluator uses Discharge = Power/(Density of Fluid*[g]*Head Loss Due to Friction) to evaluate the Discharge, The Discharge through Pipe given Head Loss in Turbulent Flow formula is defined as the volume of fluid that passes through a given cross-sectional area of the turbine per unit of time, known while considering the density of the fluid, head loss due to friction, and the power required to maintain the flow. Discharge is denoted by Q symbol.

How to evaluate Discharge through Pipe given Head Loss in Turbulent Flow using this online evaluator? To use this online evaluator for Discharge through Pipe given Head Loss in Turbulent Flow, enter Power (P), Density of Fluid (ρ_f) & Head Loss Due to Friction (h_f) and hit the calculate button.

FAQs on Discharge through Pipe given Head Loss in Turbulent Flow

What is the formula to find Discharge through Pipe given Head Loss in Turbulent Flow?

The formula of Discharge through Pipe given Head Loss in Turbulent Flow is expressed as Discharge = Power/(Density of Fluid*[g]*Head Loss Due to Friction). Here is an example- 1.010797 = 170/(1.225*[g]*4.71).

How to calculate Discharge through Pipe given Head Loss in Turbulent Flow?

With Power (P), Density of Fluid (ρ_f) & Head Loss Due to Friction (h_f) we can find Discharge through Pipe given Head Loss in Turbulent Flow using the formula - Discharge = Power/(Density of Fluid*[g]*Head Loss Due to Friction). This formula also uses Gravitational acceleration on Earth constant(s).

Can the Discharge through Pipe given Head Loss in Turbulent Flow be negative?

Yes, the Discharge through Pipe given Head Loss in Turbulent Flow, measured in Volumetric Flow Rate can be negative.

Which unit is used to measure Discharge through Pipe given Head Loss in Turbulent Flow?

Discharge through Pipe given Head Loss in Turbulent Flow 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 Head Loss in Turbulent Flow can be measured.

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