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 dimensionless parameter used in environmental engineering, particularly in fluid mechanics and hydraulics.ⓘ 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%

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

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Formula

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Diameter of Pipe given Hydraulic Gradient

Formula

D pipe = {(\frac{v avg}{0.355 \cdot C \cdot {(S)}^{0.54}})}^{\frac{1}{0.63}}

Example

0.799688 m = {(\frac{4.57 m/s}{0.355 \cdot 31.33 \cdot {(0.25)}^{0.54}})}^{\frac{1}{0.63}}

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Diameter of Pipe given Hydraulic Gradient Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Pipe Diameter - (Measured in Meter) - Pipe Diameter 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 dimensionless parameter used in environmental engineering, particularly in fluid mechanics and hydraulics.
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_pipe = (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_pipe = 0.799687656902681

STEP 3: Convert Result to Output's Unit

0.799687656902681 Meter --> No Conversion Required

FINAL ANSWER

0.799687656902681 ≈ 0.799688 Meter <-- Pipe Diameter

(Calculation completed in 00.004 seconds)

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< Hazen Williams Formula Calculators

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))

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)

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)))

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

Pipe Diameter = (Average Velocity in Pipe Fluid Flow/(0.355*Coefficient of Roughness of Pipe*(Hydraulic Gradient)^(0.54)))^(1/0.63)
D_pipe = (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 Pipe Diameter = (Average Velocity in Pipe Fluid Flow/(0.355*Coefficient of Roughness of Pipe*(Hydraulic Gradient)^(0.54)))^(1/0.63) to calculate the Pipe Diameter, The Diameter of Pipe given Hydraulic Gradient is defined as the value of diameter of pipe when we have prior information of hydraulic gradient. Pipe Diameter is denoted by D_pipe 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 -> 0.799688 = (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 is defined as the value of diameter of pipe when we have prior information of hydraulic gradient and is represented as D_pipe = (v_avg/(0.355*C*(S)^(0.54)))^(1/0.63) or Pipe Diameter = (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 dimensionless parameter used in environmental engineering, particularly in fluid mechanics and hydraulics & 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 is defined as the value of diameter of pipe when we have prior information of hydraulic gradient is calculated using Pipe Diameter = (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.

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