Velocity of Flow given Head Loss by Hazen Williams Formula Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
vavg = (hf/((6.78*Lp)/((Dp^(1.165))*C^(1.85))))^(1/1.85)
This formula uses 5 Variables
Variables Used
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.
Length of Pipe - (Measured in Meter) - Length of Pipe describes the length of the pipe in which the liquid is flowing.
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
Length of Pipe: 2.5 Meter --> 2.5 Meter 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
vavg = (hf/((6.78*Lp)/((Dp^(1.165))*C^(1.85))))^(1/1.85) --> (1.2/((6.78*2.5)/((0.4^(1.165))*31.33^(1.85))))^(1/1.85)
Evaluating ... ...
vavg = 4.20484855836018
STEP 3: Convert Result to Output's Unit
4.20484855836018 Meter per Second --> No Conversion Required
FINAL ANSWER
4.20484855836018 4.204849 Meter per Second <-- Average Velocity in Pipe Fluid Flow
(Calculation completed in 00.020 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)

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

What is Flow Velocity?

Flow velocity in fluid dynamics, also macroscopic velocity in statistical mechanics, or drift velocity in electromagnetism, is a vector field used to mathematically describe the motion of a continuum. The length of the flow velocity vector is the flow speed and is a scalar.

How to Calculate Velocity of Flow given Head Loss by Hazen Williams Formula?

Velocity of Flow given Head Loss by Hazen Williams Formula calculator uses 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) to calculate the Average Velocity in Pipe Fluid Flow, The Velocity of Flow given Head Loss by Hazen Williams Formula is defined as the value of velocity of flow calculated using the formula proposed by Hazen Williams, when we have prior information of head loss. Average Velocity in Pipe Fluid Flow is denoted by vavg symbol.

How to calculate Velocity of Flow given Head Loss by Hazen Williams Formula using this online calculator? To use this online calculator for Velocity of Flow given Head Loss by Hazen Williams Formula, enter Head Loss (hf), Length of Pipe (Lp), Diameter of Pipe (Dp) & Coefficient of Roughness of Pipe (C) and hit the calculate button. Here is how the Velocity of Flow given Head Loss by Hazen Williams Formula calculation can be explained with given input values -> 4.204849 = (1.2/((6.78*2.5)/((0.4^(1.165))*31.33^(1.85))))^(1/1.85).

FAQ

What is Velocity of Flow given Head Loss by Hazen Williams Formula?
The Velocity of Flow given Head Loss by Hazen Williams Formula is defined as the value of velocity of flow calculated using the formula proposed by Hazen Williams, when we have prior information of head loss and is represented as vavg = (hf/((6.78*Lp)/((Dp^(1.165))*C^(1.85))))^(1/1.85) or 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). 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, Length of Pipe describes the length of the pipe in which the liquid is flowing, 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 Velocity of Flow given Head Loss by Hazen Williams Formula?
The Velocity of Flow given Head Loss by Hazen Williams Formula is defined as the value of velocity of flow calculated using the formula proposed by Hazen Williams, when we have prior information of head loss is calculated using 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). To calculate Velocity of Flow given Head Loss by Hazen Williams Formula, you need Head Loss (hf), Length of Pipe (Lp), Diameter of Pipe (Dp) & Coefficient of Roughness of Pipe (C). With our tool, you need to enter the respective value for Head Loss, Length of Pipe, 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 Average Velocity in Pipe Fluid Flow?
In this formula, Average Velocity in Pipe Fluid Flow uses Head Loss, Length of Pipe, Diameter of Pipe & Coefficient of Roughness of Pipe. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Average Velocity in Pipe Fluid Flow = 0.85*Coefficient of Roughness of Pipe*((Pipe Radius)^(0.63))*(Hydraulic Gradient)^(0.54)
  • 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)
  • Average Velocity in Pipe Fluid Flow = 0.355*Coefficient of Roughness of Pipe*((Diameter of Pipe)^(0.63))*(Hydraulic Gradient)^(0.54)
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