Diameter of Pipe given Head Loss by Hazen Williams Formula 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%

✖Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe given Head Loss by Hazen Williams Formula [D_p]

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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)
D_p = ((6.78*L_p*v_avg^(1.85))/(h_f*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 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

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

Evaluating ... ...

D_p = 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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< 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)

Diameter of Pipe given Head Loss by Hazen Williams Formula Formula

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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 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 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 (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 Diameter of Pipe given Head Loss by Hazen Williams Formula calculation can be explained with given input values -> 0.456553 = ((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 is defined as the value of diameter of pipe when we have prior information of head loss and is represented as D_p = ((6.78*L_p*v_avg^(1.85))/(h_f*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 dimensionless parameter used in environmental engineering, particularly in fluid mechanics and hydraulics.

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

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 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 (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.

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