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Diameter of Pipe given Head Loss by Hazen Williams Formula 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{6.78 \cdot L p \cdot {v avg}^{1.85}}{h f \cdot C^{1.85}})}^{\frac{1}{1.165}}

D_p - Diameter of Pipe?L_p - Length of Pipe?v_avg - Average Velocity in Pipe Fluid Flow?h_f - Head Loss?C - Coefficient of Roughness of Pipe?

Diameter of Pipe given Head Loss by Hazen Williams Formula Example

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Here is how the Diameter of Pipe given Head Loss by Hazen Williams Formula equation looks like with Values.

Here is how the Diameter of Pipe given Head Loss by Hazen Williams Formula equation looks like with Units.

Here is how the Diameter of Pipe given Head Loss by Hazen Williams Formula equation looks like.

0.4566 = {(\frac{6.78 \cdot 2.5 \cdot {4.57}^{1.85}}{1.2 \cdot {31.33}^{1.85}})}^{\frac{1}{1.165}}

0.4566m = {(\frac{6.78 \cdot 2.5m \cdot {4.57m/s}^{1.85}}{1.2m \cdot {31.33}^{1.85}})}^{\frac{1}{1.165}}

0.4566 = {(\frac{6.78 \cdot 2.5 \cdot {4.57}^{1.85}}{1.2 \cdot {31.33}^{1.85}})}^{\frac{1}{1.165}}

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Diameter of Pipe given Head Loss by Hazen Williams Formula Solution

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

FIRST Step Consider the formula

D p = {(\frac{6.78 \cdot L p \cdot {v avg}^{1.85}}{h f \cdot C^{1.85}})}^{\frac{1}{1.165}}

Next Step Substitute values of Variables

∴

D p = {(\frac{6.78 \cdot 2.5m \cdot {4.57m/s}^{1.85}}{1.2m \cdot {31.33}^{1.85}})}^{\frac{1}{1.165}}

Next Step Prepare to Evaluate

∴

D p = {(\frac{6.78 \cdot 2.5 \cdot {4.57}^{1.85}}{1.2 \cdot {31.33}^{1.85}})}^{\frac{1}{1.165}}

Next Step Evaluate

∴

D p = 0.456552501066827m

LAST Step Rounding Answer

∴

D p = 0.4566m

Diameter of Pipe given Head Loss by Hazen Williams Formula Formula Elements

Variables

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

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

Coefficient of Roughness of Pipe

Coefficient of Roughness of Pipe is a dimensionless parameter used in environmental engineering, particularly in fluid mechanics and hydraulics.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Coefficient of Roughness of Pipe

Other formulas in Hazen Williams Formula category

Go Mean Velocity of Flow in Pipe by Hazen Williams Formula

v avg = 0.85 \cdot C \cdot ({(R)}^{0.63}) \cdot {(S)}^{0.54}

Go Head Loss by Hazen Williams Formula

H L' = \frac{6.78 \cdot L p \cdot {v avg}^{1.85}}{({D p}^{1.165}) \cdot C^{1.85}}

Go Length of Pipe given Head Loss by Hazen Williams Formula

L p = \frac{h f}{\frac{6.78 \cdot {v avg}^{1.85}}{({D p}^{1.165}) \cdot C^{1.85}}}

Go Velocity of Flow given Head Loss by Hazen Williams Formula

v avg = {(\frac{h f}{\frac{6.78 \cdot L p}{({D p}^{1.165}) \cdot C^{1.85}}})}^{\frac{1}{1.85}}

How to Evaluate Diameter of Pipe given Head Loss by Hazen Williams Formula?

Diameter of Pipe given Head Loss by Hazen Williams Formula evaluator uses Diameter of Pipe = ((6.78*Length of Pipe*Average Velocity in Pipe Fluid Flow^(1.85))/(Head Loss*Coefficient of Roughness of Pipe^(1.85)))^(1/1.165) to evaluate the Diameter of Pipe, The Diameter of Pipe given Head Loss by Hazen Williams Formula is defined as the value of diameter of pipe when we have prior information of head loss. Diameter of Pipe is denoted by D_p symbol.

How to evaluate Diameter of Pipe given Head Loss by Hazen Williams Formula using this online evaluator? To use this online evaluator for Diameter of Pipe given Head Loss by Hazen Williams Formula, enter Length of Pipe (L_p), Average Velocity in Pipe Fluid Flow (v_avg), Head Loss (h_f) & Coefficient of Roughness of Pipe (C) and hit the calculate button.

FAQs on Diameter of Pipe given Head Loss by Hazen Williams Formula

What is the formula to find Diameter of Pipe given Head Loss by Hazen Williams Formula?

The formula of Diameter of Pipe given Head Loss by Hazen Williams Formula is expressed as Diameter of Pipe = ((6.78*Length of Pipe*Average Velocity in Pipe Fluid Flow^(1.85))/(Head Loss*Coefficient of Roughness of Pipe^(1.85)))^(1/1.165). Here is an example- 0.456553 = ((6.78*2.5*4.57^(1.85))/(1.2*31.33^(1.85)))^(1/1.165).

How to calculate Diameter of Pipe given Head Loss by Hazen Williams Formula?

With Length of Pipe (L_p), Average Velocity in Pipe Fluid Flow (v_avg), Head Loss (h_f) & Coefficient of Roughness of Pipe (C) we can find Diameter of Pipe given Head Loss by Hazen Williams Formula using the formula - Diameter of Pipe = ((6.78*Length of Pipe*Average Velocity in Pipe Fluid Flow^(1.85))/(Head Loss*Coefficient of Roughness of Pipe^(1.85)))^(1/1.165).

Can the Diameter of Pipe given Head Loss by Hazen Williams Formula be negative?

No, the Diameter of Pipe given Head Loss by Hazen Williams Formula, measured in Length cannot be negative.

Which unit is used to measure Diameter of Pipe given Head Loss by Hazen Williams Formula?

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

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Diameter of Pipe given Head Loss by Hazen Williams Formula Formula

Diameter of Pipe given Head Loss by Hazen Williams Formula Example

Diameter of Pipe given Head Loss by Hazen Williams Formula Solution

Diameter of Pipe given Head Loss by Hazen Williams Formula Formula Elements

Other formulas in Hazen Williams Formula category

How to Evaluate Diameter of Pipe given Head Loss by Hazen Williams Formula?

FAQs on Diameter of Pipe given Head Loss by Hazen Williams Formula

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