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

STEP 0: Pre-Calculation Summary
Formula Used
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)))
Lp = hf/((6.78*vavg^(1.85))/(((2*R )^(1.165))*C^(1.85)))
This formula uses 5 Variables
Variables Used
Length of Pipe - (Measured in Meter) - Length of Pipe describes the length of the pipe in which the liquid is flowing.
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.
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.
Pipe Radius - (Measured in Meter) - The Pipe Radius is the radius of the pipe through which the fluid is flowing.
Coefficient of roughness of pipe - Coefficient of roughness of pipe is a constant term.
STEP 1: Convert Input(s) to Base Unit
Head Loss: 1.2 Meter --> 1.2 Meter No Conversion Required
Average Velocity in Pipe Fluid Flow: 4.57 Meter per Second --> 4.57 Meter per Second No Conversion Required
Pipe Radius: 200 Millimeter --> 0.2 Meter (Check conversion here)
Coefficient of roughness of pipe: 31.33 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Lp = hf/((6.78*vavg^(1.85))/(((2*R )^(1.165))*C^(1.85))) --> 1.2/((6.78*4.57^(1.85))/(((2*0.2 )^(1.165))*31.33^(1.85)))
Evaluating ... ...
Lp = 2.14305443465738
STEP 3: Convert Result to Output's Unit
2.14305443465738 Meter --> No Conversion Required
FINAL ANSWER
2.14305443465738 2.143054 Meter <-- Length 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)

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

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)))
Lp = hf/((6.78*vavg^(1.85))/(((2*R )^(1.165))*C^(1.85)))

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

Length of Pipe by Hazen Williams Formula given Radius of Pipe calculator uses 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))) to calculate the Length of Pipe, Length of Pipe by Hazen Williams Formula given Radius of Pipe calculates value of length of pipe when we have prior information of other parameters used. Length of Pipe is denoted by Lp symbol.

How to calculate Length of Pipe by Hazen Williams Formula given Radius of Pipe using this online calculator? To use this online calculator for Length of Pipe by Hazen Williams Formula given Radius of Pipe, enter Head Loss (hf), Average Velocity in Pipe Fluid Flow (vavg), Pipe Radius (R) & Coefficient of roughness of pipe (C) and hit the calculate button. Here is how the Length of Pipe by Hazen Williams Formula given Radius of Pipe calculation can be explained with given input values -> 2.228609 = 1.2/((6.78*4.57^(1.85))/(((2*0.2 )^(1.165))*31.33^(1.85))).

FAQ

What is Length of Pipe by Hazen Williams Formula given Radius of Pipe?
Length of Pipe by Hazen Williams Formula given Radius of Pipe calculates value of length of pipe when we have prior information of other parameters used and is represented as Lp = hf/((6.78*vavg^(1.85))/(((2*R )^(1.165))*C^(1.85))) or 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))). 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, Average velocity in pipe fluid flow is the total volumetric flow rate divided by the cross-sectional area of the pipe, The Pipe Radius is the radius of the pipe through which the fluid is flowing & Coefficient of roughness of pipe is a constant term.
How to calculate Length of Pipe by Hazen Williams Formula given Radius of Pipe?
Length of Pipe by Hazen Williams Formula given Radius of Pipe calculates value of length of pipe when we have prior information of other parameters used is calculated using 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))). To calculate Length of Pipe by Hazen Williams Formula given Radius of Pipe, you need Head Loss (hf), Average Velocity in Pipe Fluid Flow (vavg), Pipe Radius (R) & Coefficient of roughness of pipe (C). With our tool, you need to enter the respective value for Head Loss, Average Velocity in Pipe Fluid Flow, Pipe Radius & 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 Length of Pipe?
In this formula, Length of Pipe uses Head Loss, Average Velocity in Pipe Fluid Flow, Pipe Radius & Coefficient of roughness of pipe. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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)))
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