Mean Velocity of Flow in Pipe given Diameter of Pipe Calculator

✖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 [D_p]			+10% -10%
✖Hydraulic gradient is a specific measurement of liquid pressure above a vertical datum.ⓘ Hydraulic Gradient [S]			+10% -10%

✖Average velocity in pipe fluid flow is the total volumetric flow rate divided by the cross-sectional area of the pipe.ⓘ Mean Velocity of Flow in Pipe given Diameter of Pipe [v_avg]

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Formula

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Mean Velocity of Flow in Pipe given Diameter of Pipe

Formula

`"v"_{"avg"} = 0.355*"C"*(("D"_{"p"})^(0.63))*("S")^(0.54)`

Example

`"2.953753m/s"=0.355*"31.33"*(("0.4m")^(0.63))*("0.25")^(0.54)`

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Mean Velocity of Flow in Pipe given Diameter of Pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Velocity in Pipe Fluid Flow = 0.355*Coefficient of Roughness of Pipe*((Diameter of Pipe)^(0.63))*(Hydraulic Gradient)^(0.54)
v_avg = 0.355*C*((D_p)^(0.63))*(S)^(0.54)
This formula uses 4 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.
Coefficient of Roughness of Pipe - Coefficient of Roughness of Pipe is a dimensionless parameter used in environmental engineering, particularly in fluid mechanics and hydraulics.
Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.
Hydraulic Gradient - Hydraulic gradient is a specific measurement of liquid pressure above a vertical datum.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Roughness of Pipe: 31.33 --> No Conversion Required
Diameter of Pipe: 0.4 Meter --> 0.4 Meter No Conversion Required
Hydraulic Gradient: 0.25 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_avg = 0.355*C*((D_p)^(0.63))*(S)^(0.54) --> 0.355*31.33*((0.4)^(0.63))*(0.25)^(0.54)

Evaluating ... ...

v_avg = 2.95375280562945

STEP 3: Convert Result to Output's Unit

2.95375280562945 Meter per Second --> No Conversion Required

FINAL ANSWER

2.95375280562945 ≈ 2.953753 Meter per Second <-- Average Velocity in Pipe Fluid Flow

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Distribution of Water » Pipe Hydraulics » Hazen Williams Formula » Mean Velocity of Flow in Pipe given Diameter of Pipe

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< 18 Hazen Williams Formula Calculators

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 in Pipe))^(1/1.85)

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)

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 in Pipe))^(1/1.85)

Head Loss by Hazen Williams Formula

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))

Head Loss by Hazen Williams Formula given Radius of Pipe

Go Head Loss in Pipe = (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))

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)

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)

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)))

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)))

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)

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)

Coefficient of Roughness of Pipe given Diameter of Pipe

Go Coefficient of Roughness of Pipe = Average Velocity in Pipe Fluid Flow/(0.355*((Pipe Diameter)^(0.63))*(Hydraulic Gradient)^(0.54))

Diameter of Pipe given Hydraulic Gradient

Go Pipe Diameter = (Average Velocity in Pipe Fluid Flow/(0.355*Coefficient of Roughness of Pipe*(Hydraulic Gradient)^(0.54)))^(1/0.63)

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)

Mean Velocity of Flow in Pipe given Diameter of Pipe Formula

Average Velocity in Pipe Fluid Flow = 0.355*Coefficient of Roughness of Pipe*((Diameter of Pipe)^(0.63))*(Hydraulic Gradient)^(0.54)
v_avg = 0.355*C*((D_p)^(0.63))*(S)^(0.54)

What is Mean Velocity?

The time average of the velocity of a fluid at a fixed point, over a somewhat arbitrary time interval T counted from some fixed time t0. The time average of any other quantity can be defined in this manner.

How to Calculate Mean Velocity of Flow in Pipe given Diameter of Pipe?

Mean Velocity of Flow in Pipe given Diameter of Pipe calculator uses Average Velocity in Pipe Fluid Flow = 0.355*Coefficient of Roughness of Pipe*((Diameter of Pipe)^(0.63))*(Hydraulic Gradient)^(0.54) to calculate the Average Velocity in Pipe Fluid Flow, The Mean Velocity of Flow in Pipe given Diameter of Pipe is defined as the value of mean velocity when we have prior information of diameter of pipe in which fluid is moving. Average Velocity in Pipe Fluid Flow is denoted by v_avg symbol.

How to calculate Mean Velocity of Flow in Pipe given Diameter of Pipe using this online calculator? To use this online calculator for Mean Velocity of Flow in Pipe given Diameter of Pipe, enter Coefficient of Roughness of Pipe (C), Diameter of Pipe (D_p) & Hydraulic Gradient (S) and hit the calculate button. Here is how the Mean Velocity of Flow in Pipe given Diameter of Pipe calculation can be explained with given input values -> 2.953753 = 0.355*31.33*((0.4)^(0.63))*(0.25)^(0.54).

FAQ

What is Mean Velocity of Flow in Pipe given Diameter of Pipe?

The Mean Velocity of Flow in Pipe given Diameter of Pipe is defined as the value of mean velocity when we have prior information of diameter of pipe in which fluid is moving and is represented as v_avg = 0.355*C*((D_p)^(0.63))*(S)^(0.54) or Average Velocity in Pipe Fluid Flow = 0.355*Coefficient of Roughness of Pipe*((Diameter of Pipe)^(0.63))*(Hydraulic Gradient)^(0.54). Coefficient of Roughness of Pipe is a dimensionless parameter used in environmental engineering, particularly in fluid mechanics and hydraulics, Diameter of Pipe is the diameter of the pipe in which the liquid is flowing & Hydraulic gradient is a specific measurement of liquid pressure above a vertical datum.

How to calculate Mean Velocity of Flow in Pipe given Diameter of Pipe?

The Mean Velocity of Flow in Pipe given Diameter of Pipe is defined as the value of mean velocity when we have prior information of diameter of pipe in which fluid is moving is calculated using Average Velocity in Pipe Fluid Flow = 0.355*Coefficient of Roughness of Pipe*((Diameter of Pipe)^(0.63))*(Hydraulic Gradient)^(0.54). To calculate Mean Velocity of Flow in Pipe given Diameter of Pipe, you need Coefficient of Roughness of Pipe (C), Diameter of Pipe (D_p) & Hydraulic Gradient (S). With our tool, you need to enter the respective value for Coefficient of Roughness of Pipe, Diameter of Pipe & Hydraulic Gradient 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 Coefficient of Roughness of Pipe, Diameter of Pipe & Hydraulic Gradient. 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)/((Diameter of Pipe^(1.165))*Coefficient of Roughness of Pipe^(1.85))))^(1/1.85)
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)

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