Radius of Pipe by Hazen Williams Formula given Length of Pipe Calculator

✖Length of Pipe describes the length of the pipe in which the liquid is flowing.ⓘ Length of Pipe [L_p]			+10% -10%
✖Average Velocity in Pipe Fluid Flow is the total volumetric flow rate divided by the cross-sectional area of the pipe.ⓘ Average Velocity in Pipe Fluid Flow [v_avg]			+10% -10%
✖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.ⓘ Head Loss [h_f]			+10% -10%
✖Coefficient of Roughness of Pipe is a dimensionless parameter used in environmental engineering, particularly in fluid mechanics and hydraulics.ⓘ Coefficient of Roughness of Pipe [C]			+10% -10%

✖The Pipe Radius is the radius of the pipe through which the fluid is flowing.ⓘ Radius of Pipe by Hazen Williams Formula given Length of Pipe [R]

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Formula

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Radius of Pipe by Hazen Williams Formula given Length of Pipe

Formula

R = {(\frac{6.78 \cdot L p \cdot {v avg}^{1.85}}{({(2)}^{1.165}) \cdot h f \cdot C^{1.85}})}^{\frac{1}{1.165}}

Example

228.2763 mm = {(\frac{6.78 \cdot 2.5 m \cdot {4.57 m/s}^{1.85}}{({(2)}^{1.165}) \cdot 1.2 m \cdot {31.33}^{1.85}})}^{\frac{1}{1.165}}

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Radius of Pipe by Hazen Williams Formula given Length of Pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pipe Radius = ((6.78*Length of Pipe*Average Velocity in Pipe Fluid Flow^(1.85))/(((2)^(1.165))*Head Loss*Coefficient of Roughness of Pipe^(1.85)))^(1/1.165)
R = ((6.78*L_p*v_avg^(1.85))/(((2)^(1.165))*h_f*C^(1.85)))^(1/1.165)
This formula uses 5 Variables

Variables Used

Pipe Radius - (Measured in Meter) - The Pipe Radius is the radius of the pipe through which the fluid is flowing.
Length of Pipe - (Measured in Meter) - Length of Pipe describes the length of the pipe in which the liquid is flowing.
Average Velocity in Pipe Fluid Flow - (Measured in Meter per Second) - Average Velocity in Pipe Fluid Flow is the total volumetric flow rate divided by the cross-sectional area of the pipe.
Head Loss - (Measured in Meter) - 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.
Coefficient of Roughness of Pipe - Coefficient of Roughness of Pipe is a dimensionless parameter used in environmental engineering, particularly in fluid mechanics and hydraulics.

STEP 1: Convert Input(s) to Base Unit

Length of Pipe: 2.5 Meter --> 2.5 Meter No Conversion Required
Average Velocity in Pipe Fluid Flow: 4.57 Meter per Second --> 4.57 Meter per Second No Conversion Required
Head Loss: 1.2 Meter --> 1.2 Meter No Conversion Required
Coefficient of Roughness of Pipe: 31.33 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = ((6.78*L_p*v_avg^(1.85))/(((2)^(1.165))*h_f*C^(1.85)))^(1/1.165) --> ((6.78*2.5*4.57^(1.85))/(((2)^(1.165))*1.2*31.33^(1.85)))^(1/1.165)

Evaluating ... ...

R = 0.228276250533413

STEP 3: Convert Result to Output's Unit

0.228276250533413 Meter -->228.276250533413 Millimeter (Check conversion here)

FINAL ANSWER

228.276250533413 ≈ 228.2763 Millimeter <-- Pipe Radius

(Calculation completed in 00.022 seconds)

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< Hazen Williams Formula Calculators

Head Loss by Hazen Williams Formula

Go Head Loss in Pipe = (6.78*Length of Pipe*Average Velocity in Pipe Fluid Flow^(1.85))/((Diameter of Pipe^(1.165))*Coefficient of Roughness of Pipe^(1.85))

Velocity of Flow given Head Loss by Hazen Williams Formula

Go Average Velocity in Pipe Fluid Flow = (Head Loss/((6.78*Length of Pipe)/((Diameter of Pipe^(1.165))*Coefficient of Roughness of Pipe^(1.85))))^(1/1.85)

Length of Pipe given Head Loss by Hazen Williams Formula

Go Length of Pipe = Head Loss/((6.78*Average Velocity in Pipe Fluid Flow^(1.85))/((Diameter of Pipe^(1.165))*Coefficient of Roughness of Pipe^(1.85)))

Mean Velocity of Flow in Pipe by Hazen Williams Formula

Go Average Velocity in Pipe Fluid Flow = 0.85*Coefficient of Roughness of Pipe*((Pipe Radius)^(0.63))*(Hydraulic Gradient)^(0.54)

Radius of Pipe by Hazen Williams Formula given Length of Pipe Formula

What is 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. Head loss is unavoidable in real fluids.

How to Calculate Radius of Pipe by Hazen Williams Formula given Length of Pipe?

Radius of Pipe by Hazen Williams Formula given Length of Pipe calculator uses Pipe Radius = ((6.78*Length of Pipe*Average Velocity in Pipe Fluid Flow^(1.85))/(((2)^(1.165))*Head Loss*Coefficient of Roughness of Pipe^(1.85)))^(1/1.165) to calculate the Pipe Radius, The Radius of Pipe by Hazen Williams Formula given Length of Pipe is defined as the value of radius of pipe calculated using the formula proposed by Hazen Williams, when we have prior information of length of pipe. Pipe Radius is denoted by R symbol.

How to calculate Radius of Pipe by Hazen Williams Formula given Length of Pipe using this online calculator? To use this online calculator for Radius of Pipe by Hazen Williams Formula given Length of Pipe, 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. Here is how the Radius of Pipe by Hazen Williams Formula given Length of Pipe calculation can be explained with given input values -> 228276.3 = ((6.78*2.5*4.57^(1.85))/(((2)^(1.165))*1.2*31.33^(1.85)))^(1/1.165).

FAQ

What is Radius of Pipe by Hazen Williams Formula given Length of Pipe?

The Radius of Pipe by Hazen Williams Formula given Length of Pipe is defined as the value of radius of pipe calculated using the formula proposed by Hazen Williams, when we have prior information of length of pipe and is represented as R = ((6.78*L_p*v_avg^(1.85))/(((2)^(1.165))*h_f*C^(1.85)))^(1/1.165) or Pipe Radius = ((6.78*Length of Pipe*Average Velocity in Pipe Fluid Flow^(1.85))/(((2)^(1.165))*Head Loss*Coefficient of Roughness of Pipe^(1.85)))^(1/1.165). Length of Pipe describes the length of the pipe in which the liquid is flowing, Average Velocity in Pipe Fluid Flow is the total volumetric flow rate divided by the cross-sectional area of the pipe, 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 & Coefficient of Roughness of Pipe is a dimensionless parameter used in environmental engineering, particularly in fluid mechanics and hydraulics.

How to calculate Radius of Pipe by Hazen Williams Formula given Length of Pipe?

The Radius of Pipe by Hazen Williams Formula given Length of Pipe is defined as the value of radius of pipe calculated using the formula proposed by Hazen Williams, when we have prior information of length of pipe is calculated using Pipe Radius = ((6.78*Length of Pipe*Average Velocity in Pipe Fluid Flow^(1.85))/(((2)^(1.165))*Head Loss*Coefficient of Roughness of Pipe^(1.85)))^(1/1.165). To calculate Radius of Pipe by Hazen Williams Formula given Length of Pipe, you need Length of Pipe (L_p), Average Velocity in Pipe Fluid Flow (v_avg), Head Loss (h_f) & Coefficient of Roughness of Pipe (C). With our tool, you need to enter the respective value for Length of Pipe, Average Velocity in Pipe Fluid Flow, Head Loss & Coefficient of Roughness of Pipe and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Pipe Radius?

In this formula, Pipe Radius uses Length of Pipe, Average Velocity in Pipe Fluid Flow, Head Loss & Coefficient of Roughness of Pipe. We can use 1 other way(s) to calculate the same, which is/are as follows -

Pipe Radius = (Average Velocity in Pipe Fluid Flow/(0.85*Coefficient of Roughness of Pipe*(Hydraulic Gradient)^(0.54)))^(1/0.63)

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