Diameter of Pipe given Head Loss by Hazen Williams Formula Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
Dp = ((6.78*Lp*vavg^(1.85))/(hf*C^(1.85)))^(1/1.165)
This formula uses 5 Variables
Variables Used
Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the diameter of the pipe in which the liquid 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 constant term.
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
Dp = ((6.78*Lp*vavg^(1.85))/(hf*C^(1.85)))^(1/1.165) --> ((6.78*2.5*4.57^(1.85))/(1.2*31.33^(1.85)))^(1/1.165)
Evaluating ... ...
Dp = 0.456552501066827
STEP 3: Convert Result to Output's Unit
0.456552501066827 Meter --> No Conversion Required
FINAL ANSWER
0.456552501066827 0.456553 Meter <-- Diameter of Pipe
(Calculation completed in 00.004 seconds)

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18 Hazen Williams Formula Calculators

Radius of Pipe by Hazen Williams Formula given Length of Pipe
Go 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)
Velocity of Flow by Hazen Williams Formula given Radius of Pipe
Go Average Velocity in Pipe Fluid Flow = (Head Loss/((6.78*Length of Pipe)/(((2*Pipe Radius )^(1.165))*Coefficient of roughness of pipe^(1.85))))^(1/1.85)
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)
Coefficient Dependent on Pipe given Head Loss
Go Coefficient of roughness of pipe = ((6.78*Length of Pipe*Average Velocity in Pipe Fluid Flow^(1.85))/((Diameter of Pipe^(1.165))*Head Loss))^(1/1.85)
Length of Pipe by Hazen Williams Formula given Radius of Pipe
Go Length of Pipe = Head Loss/((6.78*Average Velocity in Pipe Fluid Flow^(1.85))/(((2*Pipe Radius )^(1.165))*Coefficient of roughness of pipe^(1.85)))
Coefficient Dependent on Pipe given Radius of Pipe
Go Coefficient of roughness of pipe = ((6.78*Length of Pipe*Average Velocity in Pipe Fluid Flow^(1.85))/(((2*Pipe Radius)^(1.165))*Head Loss))^(1/1.85)
Diameter of Pipe given Head Loss by Hazen Williams Formula
Go 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)
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)))
Head Loss by Hazen Williams Formula given Radius of Pipe
Go Head Loss = (6.78*Length of Pipe*Average Velocity in Pipe Fluid Flow^(1.85))/(((2*Pipe Radius )^(1.165))*Coefficient of roughness of pipe^(1.85))
Head Loss by Hazen Williams Formula
Go Head Loss = (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))
Hydraulic Gradient given Diameter of Pipe
Go Hydraulic Gradient = (Average Velocity in Pipe Fluid Flow/(0.355*Coefficient of roughness of pipe*((Diameter of Pipe )^(0.63))))^(1/0.54)
Coefficient of Roughness of Pipe given Diameter of Pipe
Go Coefficient of roughness of pipe = Average Velocity in Pipe Fluid Flow/(0.355*((Diameter of Pipe)^(0.63))*(Hydraulic Gradient)^(0.54))
Diameter of Pipe given Hydraulic Gradient
Go Diameter of Pipe = (Average Velocity in Pipe Fluid Flow/(0.355*Coefficient of roughness of pipe*(Hydraulic Gradient)^(0.54)))^(1/0.63)
Mean Velocity of Flow in Pipe given Diameter of Pipe
Go Average Velocity in Pipe Fluid Flow = 0.355*Coefficient of roughness of pipe*((Diameter of Pipe)^(0.63))*(Hydraulic Gradient)^(0.54)
Hydraulic Gradient given Mean Velocity of Flow
Go Hydraulic Gradient = (Average Velocity in Pipe Fluid Flow/(0.85*Coefficient of roughness of pipe*((Pipe Radius)^(0.63))))^(1/0.54)
Coefficient of Roughness of Pipe given Mean Velocity of Flow
Go Coefficient of roughness of pipe = Average Velocity in Pipe Fluid Flow/(0.85*((Pipe Radius)^(0.63))*(Hydraulic Gradient)^(0.54))
Hydraulic Radius given Mean Velocity of Flow
Go Pipe Radius = (Average Velocity in Pipe Fluid Flow/(0.85*Coefficient of roughness of pipe*(Hydraulic Gradient)^(0.54)))^(1/0.63)
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)

Diameter of Pipe given Head Loss by Hazen Williams Formula 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)
Dp = ((6.78*Lp*vavg^(1.85))/(hf*C^(1.85)))^(1/1.165)

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 Diameter of Pipe given Head Loss by Hazen Williams Formula?

Diameter of Pipe given Head Loss by Hazen Williams Formula calculator 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 calculate the Diameter of Pipe, The Diameter of Pipe given Head Loss by Hazen Williams Formula calculates the value of diameter of pipe when we have prior information of other parameters used. Diameter of Pipe is denoted by Dp symbol.

How to calculate Diameter of Pipe given Head Loss by Hazen Williams Formula using this online calculator? To use this online calculator for Diameter of Pipe given Head Loss by Hazen Williams Formula, enter Length of Pipe (Lp), Average Velocity in Pipe Fluid Flow (vavg), Head Loss (hf) & Coefficient of roughness of pipe (C) and hit the calculate button. Here is how the Diameter of Pipe given Head Loss by Hazen Williams Formula calculation can be explained with given input values -> 0.441467 = ((6.78*2.5*4.57^(1.85))/(1.2*31.33^(1.85)))^(1/1.165).

FAQ

What is Diameter of Pipe given Head Loss by Hazen Williams Formula?
The Diameter of Pipe given Head Loss by Hazen Williams Formula calculates the value of diameter of pipe when we have prior information of other parameters used and is represented as Dp = ((6.78*Lp*vavg^(1.85))/(hf*C^(1.85)))^(1/1.165) or 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). 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 constant term.
How to calculate Diameter of Pipe given Head Loss by Hazen Williams Formula?
The Diameter of Pipe given Head Loss by Hazen Williams Formula calculates the value of diameter of pipe when we have prior information of other parameters used is calculated using 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 calculate Diameter of Pipe given Head Loss by Hazen Williams Formula, you need Length of Pipe (Lp), Average Velocity in Pipe Fluid Flow (vavg), Head Loss (hf) & 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 Diameter of Pipe?
In this formula, Diameter of Pipe 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 -
  • Diameter of Pipe = (Average Velocity in Pipe Fluid Flow/(0.355*Coefficient of roughness of pipe*(Hydraulic Gradient)^(0.54)))^(1/0.63)
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