Hydraulic Gradient 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 dimensionless parameter used in environmental engineering, particularly in fluid mechanics and hydraulics.ⓘ Coefficient of Roughness of Pipe [C]			+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 given Mean Velocity of Flow [S]

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Hydraulic Gradient given Mean Velocity of Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hydraulic Gradient = (Average Velocity in Pipe Fluid Flow/(0.85*Coefficient of Roughness of Pipe*((Pipe Radius)^(0.63))))^(1/0.54)
S = (v_avg/(0.85*C*((R)^(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 dimensionless parameter used in environmental engineering, particularly in fluid mechanics and hydraulics.
Pipe Radius - (Measured in Meter) - The Pipe Radius is the radius of the pipe through which the fluid 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
Pipe Radius: 200 Millimeter --> 0.2 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = (v_avg/(0.85*C*((R)^(0.63))))^(1/0.54) --> (4.57/(0.85*31.33*((0.2)^(0.63))))^(1/0.54)

Evaluating ... ...

S = 0.250000402443848

STEP 3: Convert Result to Output's Unit

0.250000402443848 --> No Conversion Required

FINAL ANSWER

0.250000402443848 ≈ 0.25 <-- Hydraulic Gradient

(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)

Hydraulic Gradient given Mean Velocity of Flow Formula

LaTeX Go

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

Hydraulic Gradient given Mean Velocity of Flow calculator uses Hydraulic Gradient = (Average Velocity in Pipe Fluid Flow/(0.85*Coefficient of Roughness of Pipe*((Pipe Radius)^(0.63))))^(1/0.54) to calculate the Hydraulic Gradient, The Hydraulic Gradient given Mean Velocity of Flow is defined as the value of hydraulic gradient when we have prior information of mean velocity of flow. Hydraulic Gradient is denoted by S symbol.

How to calculate Hydraulic Gradient given Mean Velocity of Flow using this online calculator? To use this online calculator for Hydraulic Gradient given Mean Velocity of Flow, enter Average Velocity in Pipe Fluid Flow (v_avg), Coefficient of Roughness of Pipe (C) & Pipe Radius (R) and hit the calculate button. Here is how the Hydraulic Gradient given Mean Velocity of Flow calculation can be explained with given input values -> 0.25 = (4.57/(0.85*31.33*((0.2)^(0.63))))^(1/0.54).

FAQ

What is Hydraulic Gradient given Mean Velocity of Flow?

The Hydraulic Gradient given Mean Velocity of Flow is defined as the value of hydraulic gradient when we have prior information of mean velocity of flow and is represented as S = (v_avg/(0.85*C*((R)^(0.63))))^(1/0.54) or Hydraulic Gradient = (Average Velocity in Pipe Fluid Flow/(0.85*Coefficient of Roughness of Pipe*((Pipe Radius)^(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 dimensionless parameter used in environmental engineering, particularly in fluid mechanics and hydraulics & The Pipe Radius is the radius of the pipe through which the fluid is flowing.

How to calculate Hydraulic Gradient given Mean Velocity of Flow?

The Hydraulic Gradient given Mean Velocity of Flow is defined as the value of hydraulic gradient when we have prior information of mean velocity of flow is calculated using Hydraulic Gradient = (Average Velocity in Pipe Fluid Flow/(0.85*Coefficient of Roughness of Pipe*((Pipe Radius)^(0.63))))^(1/0.54). To calculate Hydraulic Gradient given Mean Velocity of Flow, you need Average Velocity in Pipe Fluid Flow (v_avg), Coefficient of Roughness of Pipe (C) & Pipe Radius (R). With our tool, you need to enter the respective value for Average Velocity in Pipe Fluid Flow, Coefficient of Roughness of Pipe & Pipe Radius 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 & Pipe Radius. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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