Hydraulic Gradient given Diameter of Pipe 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%
✖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 given Diameter of Pipe [S]

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Formula

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Hydraulic Gradient given Diameter of Pipe

Formula

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

Example

`"0.560975"=("4.57m/s"/(0.355*"31.33"*(("0.4m")^(0.63))))^(1/0.54)`

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Hydraulic Gradient given Diameter of Pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Hydraulic Gradient - Hydraulic gradient is a specific measurement of liquid pressure above a vertical datum.
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.
Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.

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
Diameter of Pipe: 0.4 Meter --> 0.4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = (v_avg/(0.355*C*((D_p)^(0.63))))^(1/0.54) --> (4.57/(0.355*31.33*((0.4)^(0.63))))^(1/0.54)

Evaluating ... ...

S = 0.560975391544977

STEP 3: Convert Result to Output's Unit

0.560975391544977 --> No Conversion Required

FINAL ANSWER

0.560975391544977 ≈ 0.560975 <-- Hydraulic Gradient

(Calculation completed in 00.006 seconds)

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Birsa Institute of Technology (BIT), Sindri

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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 Gradient given Diameter of Pipe Formula

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

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 Hydraulic Gradient given Diameter of Pipe?

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

How to calculate Hydraulic Gradient given Diameter of Pipe using this online calculator? To use this online calculator for Hydraulic Gradient given Diameter of Pipe, enter Average Velocity in Pipe Fluid Flow (v_avg), Coefficient of roughness of pipe (C) & Diameter of Pipe (D_p) and hit the calculate button. Here is how the Hydraulic Gradient given Diameter of Pipe calculation can be explained with given input values -> 0.539419 = (4.57/(0.355*31.33*((0.4)^(0.63))))^(1/0.54).

FAQ

What is Hydraulic Gradient given Diameter of Pipe?

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

How to calculate Hydraulic Gradient given Diameter of Pipe?

The Hydraulic Gradient given Diameter of Pipe calculates the value of hydraulic gradient when we have prior information of other parameters used is calculated using Hydraulic Gradient = (Average Velocity in Pipe Fluid Flow/(0.355*Coefficient of roughness of pipe*((Diameter of Pipe)^(0.63))))^(1/0.54). To calculate Hydraulic Gradient given Diameter of Pipe, you need Average Velocity in Pipe Fluid Flow (v_avg), Coefficient of roughness of pipe (C) & Diameter of Pipe (D_p). With our tool, you need to enter the respective value for Average Velocity in Pipe Fluid Flow, Coefficient of roughness of pipe & Diameter of Pipe 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 Hydraulic Gradient?

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

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

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