Hydraulic Radius 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%
✖Coefficient of roughness of pipe is a constant term.ⓘ Coefficient of roughness of pipe [C]			+10% -10%
✖Hydraulic gradient is a specific measurement of liquid pressure above a vertical datum.ⓘ Hydraulic Gradient [S]			+10% -10%

✖The Pipe Radius is the radius of the pipe through which the fluid is flowing.ⓘ Hydraulic Radius given Mean Velocity of Flow [R]

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Formula

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Hydraulic Radius given Mean Velocity of Flow

Formula

`"R" = ("v"_{"avg"}/(0.85*"C"*("S")^(0.54)))^(1/0.63)`

Example

`"200.0003mm"=("4.57m/s"/(0.85*"31.33"*("0.25")^(0.54)))^(1/0.63)`

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Hydraulic Radius given Mean Velocity of Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pipe Radius = (Average Velocity in Pipe Fluid Flow/(0.85*Coefficient of roughness of pipe*(Hydraulic Gradient)^(0.54)))^(1/0.63)
R = (v_avg/(0.85*C*(S)^(0.54)))^(1/0.63)
This formula uses 4 Variables

Variables Used

Pipe Radius - (Measured in Meter) - The Pipe Radius is the radius of the pipe through which the fluid 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.
Coefficient of roughness of pipe - Coefficient of roughness of pipe is a constant term.
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
Coefficient of roughness of pipe: 31.33 --> No Conversion Required
Hydraulic Gradient: 0.25 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = (v_avg/(0.85*C*(S)^(0.54)))^(1/0.63) --> (4.57/(0.85*31.33*(0.25)^(0.54)))^(1/0.63)

Evaluating ... ...

R = 0.200000275961464

STEP 3: Convert Result to Output's Unit

0.200000275961464 Meter -->200.000275961464 Millimeter (Check conversion here)

FINAL ANSWER

200.000275961464 ≈ 200.0003 Millimeter <-- Pipe Radius

(Calculation completed in 00.004 seconds)

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< 18 Hazen Williams Formula Calculators

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)

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)

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))^(1/1.85)

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))^(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)))

Head Loss by Hazen Williams Formula

Go Head Loss = (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 = (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))

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)

Coefficient of Roughness of Pipe given Diameter of Pipe

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

Diameter of Pipe given Hydraulic Gradient

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

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)

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)

Hydraulic Radius given Mean Velocity of Flow Formula

Pipe Radius = (Average Velocity in Pipe Fluid Flow/(0.85*Coefficient of roughness of pipe*(Hydraulic Gradient)^(0.54)))^(1/0.63)
R = (v_avg/(0.85*C*(S)^(0.54)))^(1/0.63)

What is Hydraulic Radius ?

The ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wetted perimeter of the conduit.

How to Calculate Hydraulic Radius given Mean Velocity of Flow?

Hydraulic Radius given Mean Velocity of Flow calculator uses Pipe Radius = (Average Velocity in Pipe Fluid Flow/(0.85*Coefficient of roughness of pipe*(Hydraulic Gradient)^(0.54)))^(1/0.63) to calculate the Pipe Radius, Hydraulic Radius given Mean Velocity of Flow calculates value of hydraulic radius when we have prior information of other parameters used. Pipe Radius is denoted by R symbol.

How to calculate Hydraulic Radius given Mean Velocity of Flow using this online calculator? To use this online calculator for Hydraulic Radius given Mean Velocity of Flow, enter Average Velocity in Pipe Fluid Flow (v_avg), Coefficient of roughness of pipe (C) & Hydraulic Gradient (S) and hit the calculate button. Here is how the Hydraulic Radius given Mean Velocity of Flow calculation can be explained with given input values -> 193394.4 = (4.57/(0.85*31.33*(0.25)^(0.54)))^(1/0.63).

FAQ

What is Hydraulic Radius given Mean Velocity of Flow?

Hydraulic Radius given Mean Velocity of Flow calculates value of hydraulic radius when we have prior information of other parameters used and is represented as R = (v_avg/(0.85*C*(S)^(0.54)))^(1/0.63) or Pipe Radius = (Average Velocity in Pipe Fluid Flow/(0.85*Coefficient of roughness of pipe*(Hydraulic Gradient)^(0.54)))^(1/0.63). 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 is a constant term & Hydraulic gradient is a specific measurement of liquid pressure above a vertical datum.

How to calculate Hydraulic Radius given Mean Velocity of Flow?

Hydraulic Radius given Mean Velocity of Flow calculates value of hydraulic radius when we have prior information of other parameters used is calculated using Pipe Radius = (Average Velocity in Pipe Fluid Flow/(0.85*Coefficient of roughness of pipe*(Hydraulic Gradient)^(0.54)))^(1/0.63). To calculate Hydraulic Radius given Mean Velocity of Flow, you need Average Velocity in Pipe Fluid Flow (v_avg), Coefficient of roughness of pipe (C) & Hydraulic Gradient (S). With our tool, you need to enter the respective value for Average Velocity in Pipe Fluid Flow, Coefficient of roughness 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 Pipe Radius?

In this formula, Pipe Radius uses Average Velocity in Pipe Fluid Flow, Coefficient of roughness of pipe & Hydraulic Gradient. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)

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