Length of Pipe given Head Loss by Hazen Williams Formula Calculator

✖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%
✖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%
✖Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe [D_p]			+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%

✖Length of Pipe describes the length of the pipe in which the liquid is flowing.ⓘ Length of Pipe given Head Loss by Hazen Williams Formula [L_p]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Hazen Williams Formula Formulas PDF PDF Image

Length of Pipe given Head Loss by Hazen Williams Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
L_p = h_f/((6.78*v_avg^(1.85))/((D_p^(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.
Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.
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

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
Diameter of Pipe: 0.4 Meter --> 0.4 Meter No Conversion Required
Coefficient of Roughness of Pipe: 31.33 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_p = h_f/((6.78*v_avg^(1.85))/((D_p^(1.165))*C^(1.85))) --> 1.2/((6.78*4.57^(1.85))/((0.4^(1.165))*31.33^(1.85)))

Evaluating ... ...

L_p = 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)

You are here -

Home » Engineering » Civil » Environmental Engineering » Distribution of Water » Pipe Hydraulics » Hazen Williams Formula » Length of Pipe given Head Loss by Hazen Williams Formula

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2100+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< Hazen Williams Formula Calculators

Head Loss by Hazen Williams Formula

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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 given Head Loss by Hazen Williams Formula Formula

LaTeX Go

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 given Head Loss by Hazen Williams Formula?

Length of Pipe given Head Loss by Hazen Williams Formula calculator uses 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))) to calculate the Length of Pipe, The Length of Pipe given Head Loss by Hazen Williams Formula is defined as the value of length of pipe calculated using formula proposed by Hazen Williams. Length of Pipe is denoted by L_p symbol.

How to calculate Length of Pipe given Head Loss by Hazen Williams Formula using this online calculator? To use this online calculator for Length of Pipe given Head Loss by Hazen Williams Formula, enter Head Loss (h_f), Average Velocity in Pipe Fluid Flow (v_avg), Diameter of Pipe (D_p) & Coefficient of Roughness of Pipe (C) and hit the calculate button. Here is how the Length of Pipe given Head Loss by Hazen Williams Formula calculation can be explained with given input values -> 2.143054 = 1.2/((6.78*4.57^(1.85))/((0.4^(1.165))*31.33^(1.85))).

FAQ

What is Length of Pipe given Head Loss by Hazen Williams Formula?

The Length of Pipe given Head Loss by Hazen Williams Formula is defined as the value of length of pipe calculated using formula proposed by Hazen Williams and is represented as L_p = h_f/((6.78*v_avg^(1.85))/((D_p^(1.165))*C^(1.85))) or 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 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, Diameter of Pipe is the diameter of the pipe in which the liquid is flowing & Coefficient of Roughness of Pipe is a dimensionless parameter used in environmental engineering, particularly in fluid mechanics and hydraulics.

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

The Length of Pipe given Head Loss by Hazen Williams Formula is defined as the value of length of pipe calculated using formula proposed by Hazen Williams is calculated using 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))). To calculate Length of Pipe given Head Loss by Hazen Williams Formula, you need Head Loss (h_f), Average Velocity in Pipe Fluid Flow (v_avg), Diameter of Pipe (D_p) & 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, Diameter of Pipe & 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, Diameter of Pipe & 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))/(((2*Pipe Radius)^(1.165))*Coefficient of Roughness of Pipe^(1.85)))

Home

FREE PDFs

🔍 Search