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Darcy-Weisbach equation Formula

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Head loss due to friction is defined as ratio of product of coeff of friction, length of pipe, and velocity squared to the product of diameter of pipe and twice acceleration due to gravity. Check FAQs

h f = \frac{4 \cdot μ f \cdot L 1 \cdot {v liquid}^{2}}{D d \cdot 2 \cdot [g]}

h_f - Head loss due to friction?μ_f - Coefficient of Friction?L₁ - Length of Pipe 1?v_liquid - Velocity of Liquid?D_d - Diameter of delivery pipe?[g] - Gravitational acceleration on Earth?

Darcy-Weisbach equation Example

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Here is how the Darcy-Weisbach equation equation looks like with Values.

Here is how the Darcy-Weisbach equation equation looks like with Units.

Here is how the Darcy-Weisbach equation equation looks like.

10572.4177 = \frac{4 \cdot 0.4 \cdot 120 \cdot 18^{2}}{0.3 \cdot 2 \cdot 9.8066}

10572.4177m = \frac{4 \cdot 0.4 \cdot 120m \cdot {18m/s}^{2}}{0.3m \cdot 2 \cdot 9.8066m/s²}

10572.4177 = \frac{4 \cdot 0.4 \cdot 120 \cdot 18^{2}}{0.3 \cdot 2 \cdot 9.8066}

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Darcy-Weisbach equation Solution

Follow our step by step solution on how to calculate Darcy-Weisbach equation?

FIRST Step Consider the formula

h f = \frac{4 \cdot μ f \cdot L 1 \cdot {v liquid}^{2}}{D d \cdot 2 \cdot [g]}

Next Step Substitute values of Variables

∴

h f = \frac{4 \cdot 0.4 \cdot 120m \cdot {18m/s}^{2}}{0.3m \cdot 2 \cdot [g]}

Next Step Substitute values of Constants

∴

h f = \frac{4 \cdot 0.4 \cdot 120m \cdot {18m/s}^{2}}{0.3m \cdot 2 \cdot 9.8066m/s²}

Next Step Prepare to Evaluate

∴

h f = \frac{4 \cdot 0.4 \cdot 120 \cdot 18^{2}}{0.3 \cdot 2 \cdot 9.8066}

Next Step Evaluate

∴

h f = 10572.4176961552m

LAST Step Rounding Answer

∴

h f = 10572.4177m

Darcy-Weisbach equation Formula Elements

Variables

Constants

Head loss due to friction

Head loss due to friction is defined as ratio of product of coeff of friction, length of pipe, and velocity squared to the product of diameter of pipe and twice acceleration due to gravity.

Symbol: h_f

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Head loss due to friction

Coefficient of Friction

The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.

Symbol: μ_f

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Coefficient of Friction

Length of Pipe 1

The Length of Pipe 1 describes the length of the pipe in which the liquid is flowing.

Symbol: L₁

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Pipe 1

Velocity of Liquid

The Velocity of Liquid in the pipe is defined as the product of the ratio of areas of the cylinder to the pipe, angular velocity, the radius of crank and sin of angular velocity and time.

Symbol: v_liquid

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity of Liquid

Diameter of delivery pipe

Diameter of delivery pipe is the value of diameter.

Symbol: D_d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Diameter of delivery 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

Other formulas in Fluid Parameters category

Go Slip of Pump

S = Q th - Q act

Go Slip Percentage given Coefficient of Discharge

SP = (1 - C d) \cdot 100

Go Slip percentage

SP = (1 - (\frac{Q act}{Q theoretical})) \cdot 100

Go Power Required to Drive Pump

P = γ \cdot A p \cdot L \cdot N \cdot \frac{h s + h d}{60}

How to Evaluate Darcy-Weisbach equation?

Darcy-Weisbach equation evaluator uses Head loss due to friction = (4*Coefficient of Friction*Length of Pipe 1*Velocity of Liquid^2)/(Diameter of delivery pipe*2*[g]) to evaluate the Head loss due to friction, The Darcy-Weisbach equation is defined as the ratio of product of coefficient of friction, length of pipe, and velocity squared to the product of diameter of pipe and twice the acceleration due to gravity. Head loss due to friction is denoted by h_f symbol.

How to evaluate Darcy-Weisbach equation using this online evaluator? To use this online evaluator for Darcy-Weisbach equation, enter Coefficient of Friction (μ_f), Length of Pipe 1 (L₁), Velocity of Liquid (v_liquid) & Diameter of delivery pipe (D_d) and hit the calculate button.

FAQs on Darcy-Weisbach equation

What is the formula to find Darcy-Weisbach equation?

The formula of Darcy-Weisbach equation is expressed as Head loss due to friction = (4*Coefficient of Friction*Length of Pipe 1*Velocity of Liquid^2)/(Diameter of delivery pipe*2*[g]). Here is an example- 10572.42 = (4*0.4*120*18^2)/(0.3*2*[g]).

How to calculate Darcy-Weisbach equation?

With Coefficient of Friction (μ_f), Length of Pipe 1 (L₁), Velocity of Liquid (v_liquid) & Diameter of delivery pipe (D_d) we can find Darcy-Weisbach equation using the formula - Head loss due to friction = (4*Coefficient of Friction*Length of Pipe 1*Velocity of Liquid^2)/(Diameter of delivery pipe*2*[g]). This formula also uses Gravitational acceleration on Earth constant(s).

Can the Darcy-Weisbach equation be negative?

Yes, the Darcy-Weisbach equation, measured in Length can be negative.

Which unit is used to measure Darcy-Weisbach equation?

Darcy-Weisbach equation is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Darcy-Weisbach equation can be measured.

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Darcy-Weisbach equation Formula

Darcy-Weisbach equation Example

Darcy-Weisbach equation Solution

Darcy-Weisbach equation Formula Elements

Other formulas in Fluid Parameters category

How to Evaluate Darcy-Weisbach equation?

FAQs on Darcy-Weisbach equation

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