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Hydraulic Gradient is a specific measurement of liquid pressure above a vertical datum. Check FAQs
S=(vavg0.85C((R)0.63))10.54
S - Hydraulic Gradient?vavg - Average Velocity in Pipe Fluid Flow?C - Coefficient of Roughness of Pipe?R - Pipe Radius?

Hydraulic Gradient given Mean Velocity of Flow Example

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With units
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Here is how the Hydraulic Gradient given Mean Velocity of Flow equation looks like with Values.

Here is how the Hydraulic Gradient given Mean Velocity of Flow equation looks like with Units.

Here is how the Hydraulic Gradient given Mean Velocity of Flow equation looks like.

0.25Edit=(4.57Edit0.8531.33Edit((200Edit)0.63))10.54
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Hydraulic Gradient given Mean Velocity of Flow Solution

Follow our step by step solution on how to calculate Hydraulic Gradient given Mean Velocity of Flow?

FIRST Step Consider the formula
S=(vavg0.85C((R)0.63))10.54
Next Step Substitute values of Variables
S=(4.57m/s0.8531.33((200mm)0.63))10.54
Next Step Convert Units
S=(4.57m/s0.8531.33((0.2m)0.63))10.54
Next Step Prepare to Evaluate
S=(4.570.8531.33((0.2)0.63))10.54
Next Step Evaluate
S=0.250000402443848
LAST Step Rounding Answer
S=0.25

Hydraulic Gradient given Mean Velocity of Flow Formula Elements

Variables
Hydraulic Gradient
Hydraulic Gradient is a specific measurement of liquid pressure above a vertical datum.
Symbol: S
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Average Velocity in Pipe Fluid Flow
Average Velocity in Pipe Fluid Flow is the total volumetric flow rate divided by the cross-sectional area of the pipe.
Symbol: vavg
Measurement: SpeedUnit: m/s
Note: Value should be greater than 0.
Coefficient of Roughness of Pipe
Coefficient of Roughness of Pipe is a dimensionless parameter used in environmental engineering, particularly in fluid mechanics and hydraulics.
Symbol: C
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Pipe Radius
The Pipe Radius is the radius of the pipe through which the fluid is flowing.
Symbol: R
Measurement: LengthUnit: mm
Note: Value should be greater than 0.

Other Formulas to find Hydraulic Gradient

​Go Hydraulic Gradient given Diameter of Pipe
S=(vavg0.355C((Dp)0.63))10.54

Other formulas in Hazen Williams Formula category

​Go Mean Velocity of Flow in Pipe by Hazen Williams Formula
vavg=0.85C((R)0.63)(S)0.54
​Go Head Loss by Hazen Williams Formula
HL'=6.78Lpvavg1.85(Dp1.165)C1.85
​Go Length of Pipe given Head Loss by Hazen Williams Formula
Lp=hf6.78vavg1.85(Dp1.165)C1.85
​Go Velocity of Flow given Head Loss by Hazen Williams Formula
vavg=(hf6.78Lp(Dp1.165)C1.85)11.85

How to Evaluate Hydraulic Gradient given Mean Velocity of Flow?

Hydraulic Gradient given Mean Velocity of Flow evaluator uses Hydraulic Gradient = (Average Velocity in Pipe Fluid Flow/(0.85*Coefficient of Roughness of Pipe*((Pipe Radius)^(0.63))))^(1/0.54) to evaluate 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 evaluate Hydraulic Gradient given Mean Velocity of Flow using this online evaluator? To use this online evaluator for Hydraulic Gradient given Mean Velocity of Flow, enter Average Velocity in Pipe Fluid Flow (vavg), Coefficient of Roughness of Pipe (C) & Pipe Radius (R) and hit the calculate button.

FAQs on Hydraulic Gradient given Mean Velocity of Flow

What is the formula to find Hydraulic Gradient given Mean Velocity of Flow?
The formula of Hydraulic Gradient given Mean Velocity of Flow is expressed as Hydraulic Gradient = (Average Velocity in Pipe Fluid Flow/(0.85*Coefficient of Roughness of Pipe*((Pipe Radius)^(0.63))))^(1/0.54). Here is an example- 0.25 = (4.57/(0.85*31.33*((0.2)^(0.63))))^(1/0.54).
How to calculate Hydraulic Gradient given Mean Velocity of Flow?
With Average Velocity in Pipe Fluid Flow (vavg), Coefficient of Roughness of Pipe (C) & Pipe Radius (R) we can find Hydraulic Gradient given Mean Velocity of Flow using the formula - Hydraulic Gradient = (Average Velocity in Pipe Fluid Flow/(0.85*Coefficient of Roughness of Pipe*((Pipe Radius)^(0.63))))^(1/0.54).
What are the other ways to Calculate Hydraulic Gradient?
Here are the different ways to Calculate Hydraulic Gradient-
  • Hydraulic Gradient=(Average Velocity in Pipe Fluid Flow/(0.355*Coefficient of Roughness of Pipe*((Diameter of Pipe)^(0.63))))^(1/0.54)OpenImg
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