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Internal Diameter of Pipe given Head Loss Formula

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Diameter of Pipe is the diameter of the pipe in which the liquid is flowing. Check FAQs

D p = \frac{4 \cdot f \cdot L p \cdot {(v avg)}^{2}}{2 \cdot [g] \cdot h f}

D_p - Diameter of Pipe?f - Darcy's Coefficient of Friction?L_p - Length of Pipe?v_avg - Average Velocity in Pipe Fluid Flow?h_f - Head Loss?[g] - Gravitational acceleration on Earth?

Internal Diameter of Pipe given Head Loss Example

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Here is how the Internal Diameter of Pipe given Head Loss equation looks like with Values.

Here is how the Internal Diameter of Pipe given Head Loss equation looks like with Units.

Here is how the Internal Diameter of Pipe given Head Loss equation looks like.

0.3993 = \frac{4 \cdot 0.045 \cdot 2.5 \cdot {(4.57)}^{2}}{2 \cdot 9.8066 \cdot 1.2}

0.3993m = \frac{4 \cdot 0.045 \cdot 2.5m \cdot {(4.57m/s)}^{2}}{2 \cdot 9.8066m/s² \cdot 1.2m}

0.3993 = \frac{4 \cdot 0.045 \cdot 2.5 \cdot {(4.57)}^{2}}{2 \cdot 9.8066 \cdot 1.2}

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Internal Diameter of Pipe given Head Loss Solution

Follow our step by step solution on how to calculate Internal Diameter of Pipe given Head Loss?

FIRST Step Consider the formula

D p = \frac{4 \cdot f \cdot L p \cdot {(v avg)}^{2}}{2 \cdot [g] \cdot h f}

Next Step Substitute values of Variables

∴

D p = \frac{4 \cdot 0.045 \cdot 2.5m \cdot {(4.57m/s)}^{2}}{2 \cdot [g] \cdot 1.2m}

Next Step Substitute values of Constants

∴

D p = \frac{4 \cdot 0.045 \cdot 2.5m \cdot {(4.57m/s)}^{2}}{2 \cdot 9.8066m/s² \cdot 1.2m}

Next Step Prepare to Evaluate

∴

D p = \frac{4 \cdot 0.045 \cdot 2.5 \cdot {(4.57)}^{2}}{2 \cdot 9.8066 \cdot 1.2}

Next Step Evaluate

∴

D p = 0.399312583807926m

LAST Step Rounding Answer

∴

D p = 0.3993m

Internal Diameter of Pipe given Head Loss Formula Elements

Variables

Constants

Diameter of Pipe

Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.

Symbol: D_p

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Pipe

Darcy's Coefficient of Friction

Darcy's Coefficient of Friction refers to a parameter used to characterize the flow of water or other fluids through porous media, such as soil or rock.

Symbol: f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Darcy's Coefficient of Friction

Length of Pipe

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

Symbol: L_p

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Pipe

Average Velocity in Pipe Fluid Flow

Average Velocity in Pipe Fluid Flow is the total volumetric flow rate divided by the cross-sectional area of the pipe.

Symbol: v_avg

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Average Velocity in Pipe Fluid Flow

Head Loss

Head Loss is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system.

Symbol: h_f

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Head Loss

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 Darcy's Weisbach Equation category

Go Head Loss due to Friction by Darcy Weisbach Equation

h f = \frac{4 \cdot f \cdot L p \cdot {(v avg)}^{2}}{2 \cdot [g] \cdot D p}

Go Darcy's Coefficient of Friction given Head Loss

f = \frac{h f \cdot 2 \cdot [g] \cdot D p}{4 \cdot L p \cdot {(v avg)}^{2}}

Go Length of Pipe given Head Loss due to Friction

L p = \frac{h f \cdot 2 \cdot [g] \cdot D p}{4 \cdot f \cdot {(v avg)}^{2}}

Go Average Velocity of Flow given Head Loss

v avg = \sqrt{\frac{h f \cdot 2 \cdot [g] \cdot D p}{4 \cdot f \cdot L p}}

How to Evaluate Internal Diameter of Pipe given Head Loss?

Internal Diameter of Pipe given Head Loss evaluator uses Diameter of Pipe = (4*Darcy's Coefficient of Friction*Length of Pipe*(Average Velocity in Pipe Fluid Flow)^2)/(2*[g]*Head Loss) to evaluate the Diameter of Pipe, The Internal Diameter of Pipe given Head Loss is defined as the value of internal diameter when we have prior information of head loss. Diameter of Pipe is denoted by D_p symbol.

How to evaluate Internal Diameter of Pipe given Head Loss using this online evaluator? To use this online evaluator for Internal Diameter of Pipe given Head Loss, enter Darcy's Coefficient of Friction (f), Length of Pipe (L_p), Average Velocity in Pipe Fluid Flow (v_avg) & Head Loss (h_f) and hit the calculate button.

FAQs on Internal Diameter of Pipe given Head Loss

What is the formula to find Internal Diameter of Pipe given Head Loss?

The formula of Internal Diameter of Pipe given Head Loss is expressed as Diameter of Pipe = (4*Darcy's Coefficient of Friction*Length of Pipe*(Average Velocity in Pipe Fluid Flow)^2)/(2*[g]*Head Loss). Here is an example- 0.399313 = (4*0.045*2.5*(4.57)^2)/(2*[g]*1.2).

How to calculate Internal Diameter of Pipe given Head Loss?

With Darcy's Coefficient of Friction (f), Length of Pipe (L_p), Average Velocity in Pipe Fluid Flow (v_avg) & Head Loss (h_f) we can find Internal Diameter of Pipe given Head Loss using the formula - Diameter of Pipe = (4*Darcy's Coefficient of Friction*Length of Pipe*(Average Velocity in Pipe Fluid Flow)^2)/(2*[g]*Head Loss). This formula also uses Gravitational acceleration on Earth constant(s).

Can the Internal Diameter of Pipe given Head Loss be negative?

No, the Internal Diameter of Pipe given Head Loss, measured in Length cannot be negative.

Which unit is used to measure Internal Diameter of Pipe given Head Loss?

Internal Diameter of Pipe given Head Loss is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Internal Diameter of Pipe given Head Loss can be measured.

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Internal Diameter of Pipe given Head Loss Formula

Internal Diameter of Pipe given Head Loss Example

Internal Diameter of Pipe given Head Loss Solution

Internal Diameter of Pipe given Head Loss Formula Elements

Other formulas in Darcy's Weisbach Equation category

How to Evaluate Internal Diameter of Pipe given Head Loss?

FAQs on Internal Diameter of Pipe given Head Loss

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