Diameter of Pipe given Hydraulic Gradient 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%

✖Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe given Hydraulic Gradient [D_p]

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Formula

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Diameter of Pipe given Hydraulic Gradient

Formula

`"D"_{"p"} = ("v"_{"avg"}/(0.355*"C"*("S")^(0.54)))^(1/0.63)`

Example

`"0.799688m"=("4.57m/s"/(0.355*"31.33"*("0.25")^(0.54)))^(1/0.63)`

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Diameter of Pipe given Hydraulic Gradient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Pipe = (Average Velocity in Pipe Fluid Flow/(0.355*Coefficient of roughness of pipe*(Hydraulic Gradient)^(0.54)))^(1/0.63)
D_p = (v_avg/(0.355*C*(S)^(0.54)))^(1/0.63)
This formula uses 4 Variables

Variables Used

Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the diameter 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.
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

D_p = (v_avg/(0.355*C*(S)^(0.54)))^(1/0.63) --> (4.57/(0.355*31.33*(0.25)^(0.54)))^(1/0.63)

Evaluating ... ...

D_p = 0.799687656902681

STEP 3: Convert Result to Output's Unit

0.799687656902681 Meter --> No Conversion Required

FINAL ANSWER

0.799687656902681 ≈ 0.799688 Meter <-- Diameter of Pipe

(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)

Diameter of Pipe given Hydraulic Gradient Formula

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

What is hydraulic gradient ?

A line joining the points of highest elevation of water in a series of vertical open pipes rising from a pipeline in which water flows under pressure.

How to Calculate Diameter of Pipe given Hydraulic Gradient?

Diameter of Pipe given Hydraulic Gradient calculator uses Diameter of Pipe = (Average Velocity in Pipe Fluid Flow/(0.355*Coefficient of roughness of pipe*(Hydraulic Gradient)^(0.54)))^(1/0.63) to calculate the Diameter of Pipe, The Diameter of Pipe given Hydraulic Gradient calculates the value of diameter of pipe when we have prior information of other parameters used. Diameter of Pipe is denoted by D_p symbol.

How to calculate Diameter of Pipe given Hydraulic Gradient using this online calculator? To use this online calculator for Diameter of Pipe given Hydraulic Gradient, 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 Diameter of Pipe given Hydraulic Gradient calculation can be explained with given input values -> 0.773275 = (4.57/(0.355*31.33*(0.25)^(0.54)))^(1/0.63).

FAQ

What is Diameter of Pipe given Hydraulic Gradient?

The Diameter of Pipe given Hydraulic Gradient calculates the value of diameter of pipe when we have prior information of other parameters used and is represented as D_p = (v_avg/(0.355*C*(S)^(0.54)))^(1/0.63) or Diameter of Pipe = (Average Velocity in Pipe Fluid Flow/(0.355*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 Diameter of Pipe given Hydraulic Gradient?

The Diameter of Pipe given Hydraulic Gradient calculates the value of diameter of pipe when we have prior information of other parameters used is calculated using Diameter of Pipe = (Average Velocity in Pipe Fluid Flow/(0.355*Coefficient of roughness of pipe*(Hydraulic Gradient)^(0.54)))^(1/0.63). To calculate Diameter of Pipe given Hydraulic Gradient, 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 Diameter of Pipe?

In this formula, Diameter of Pipe 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 -

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)

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