Coefficient of Roughness of Pipe given Mean Velocity of Flow Calculator

✖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%
✖The Pipe Radius is the radius of the pipe through which the fluid is flowing.ⓘ Pipe Radius [R]			+10% -10%
✖Hydraulic Gradient is a specific measurement of liquid pressure above a vertical datum.ⓘ Hydraulic Gradient [S]			+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 given Mean Velocity of Flow [C]

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Coefficient of Roughness of Pipe given Mean Velocity of Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Roughness of Pipe = Average Velocity in Pipe Fluid Flow/(0.85*((Pipe Radius)^(0.63))*(Hydraulic Gradient)^(0.54))
C = v_avg/(0.85*((R)^(0.63))*(S)^(0.54))
This formula uses 4 Variables

Variables Used

Coefficient of Roughness of Pipe - Coefficient of Roughness of Pipe is a dimensionless parameter used in environmental engineering, particularly in fluid mechanics and hydraulics.
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.
Hydraulic Gradient - Hydraulic Gradient is a specific measurement of liquid pressure above a vertical datum.

STEP 1: Convert Input(s) to Base Unit

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)
Hydraulic Gradient: 0.25 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = v_avg/(0.85*((R)^(0.63))*(S)^(0.54)) --> 4.57/(0.85*((0.2)^(0.63))*(0.25)^(0.54))

Evaluating ... ...

C = 31.330027234492

STEP 3: Convert Result to Output's Unit

31.330027234492 --> No Conversion Required

FINAL ANSWER

31.330027234492 ≈ 31.33003 <-- Coefficient of Roughness of Pipe

(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)

Coefficient of Roughness of Pipe given Mean Velocity of Flow Formula

LaTeX Go

Coefficient of Roughness of Pipe = Average Velocity in Pipe Fluid Flow/(0.85*((Pipe Radius)^(0.63))*(Hydraulic Gradient)^(0.54))
C = v_avg/(0.85*((R)^(0.63))*(S)^(0.54))

What is Roughness Coefficient ?

Roughness coefficient is based on the material of the pipe. For PVC pipe, the standard C value is 150. New steel pipe uses a C value of 140, but with use and corrosion a lower value is typically used. For HDPE pipe, a range of C values between 150 and 160 is typical.

How to Calculate Coefficient of Roughness of Pipe given Mean Velocity of Flow?

Coefficient of Roughness of Pipe given Mean Velocity of Flow calculator uses Coefficient of Roughness of Pipe = Average Velocity in Pipe Fluid Flow/(0.85*((Pipe Radius)^(0.63))*(Hydraulic Gradient)^(0.54)) to calculate the Coefficient of Roughness of Pipe, The Coefficient of Roughness of Pipe given Mean Velocity of Flow is defined as the value of coefficient of roughness when we have prior information of mean velocity of flow. Coefficient of Roughness of Pipe is denoted by C symbol.

How to calculate Coefficient of Roughness of Pipe given Mean Velocity of Flow using this online calculator? To use this online calculator for Coefficient of Roughness of Pipe given Mean Velocity of Flow, enter Average Velocity in Pipe Fluid Flow (v_avg), Pipe Radius (R) & Hydraulic Gradient (S) and hit the calculate button. Here is how the Coefficient of Roughness of Pipe given Mean Velocity of Flow calculation can be explained with given input values -> 31.33003 = 4.57/(0.85*((0.2)^(0.63))*(0.25)^(0.54)).

FAQ

What is Coefficient of Roughness of Pipe given Mean Velocity of Flow?

The Coefficient of Roughness of Pipe given Mean Velocity of Flow is defined as the value of coefficient of roughness when we have prior information of mean velocity of flow and is represented as C = v_avg/(0.85*((R)^(0.63))*(S)^(0.54)) or Coefficient of Roughness of Pipe = Average Velocity in Pipe Fluid Flow/(0.85*((Pipe Radius)^(0.63))*(Hydraulic Gradient)^(0.54)). 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 & Hydraulic Gradient is a specific measurement of liquid pressure above a vertical datum.

How to calculate Coefficient of Roughness of Pipe given Mean Velocity of Flow?

The Coefficient of Roughness of Pipe given Mean Velocity of Flow is defined as the value of coefficient of roughness when we have prior information of mean velocity of flow is calculated using Coefficient of Roughness of Pipe = Average Velocity in Pipe Fluid Flow/(0.85*((Pipe Radius)^(0.63))*(Hydraulic Gradient)^(0.54)). To calculate Coefficient of Roughness of Pipe given Mean Velocity of Flow, you need Average Velocity in Pipe Fluid Flow (v_avg), Pipe Radius (R) & Hydraulic Gradient (S). With our tool, you need to enter the respective value for Average Velocity in Pipe Fluid Flow, Pipe Radius & 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 Coefficient of Roughness of Pipe?

In this formula, Coefficient of Roughness of Pipe uses Average Velocity in Pipe Fluid Flow, Pipe Radius & Hydraulic Gradient. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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