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Hydraulic Gradient is a specific measurement of liquid pressure above a vertical datum. Check FAQs
S=(vfnRh23)2
S - Hydraulic Gradient?vf - Flow Velocity?n - Manning Coefficient?Rh - Hydraulic Radius?

Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula Example

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Here is how the Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula equation looks like with Values.

Here is how the Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula equation looks like with Units.

Here is how the Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula equation looks like.

0.2496Edit=(11.96Edit0.009Edit0.1Edit23)2
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Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula Solution

Follow our step by step solution on how to calculate Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula?

FIRST Step Consider the formula
S=(vfnRh23)2
Next Step Substitute values of Variables
S=(11.96m/s0.0090.1m23)2
Next Step Prepare to Evaluate
S=(11.960.0090.123)2
Next Step Evaluate
S=0.249620765977708
LAST Step Rounding Answer
S=0.2496

Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula 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.
Flow Velocity
Flow Velocity refers to the speed at which a fluid, such as a liquid or gas, moves through a particular area within a given time.
Symbol: vf
Measurement: SpeedUnit: m/s
Note: Value should be greater than 0.
Manning Coefficient
Manning Coefficient is dimensionless and varies depending on the type of channel or surface through which water flows.
Symbol: n
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Hydraulic Radius
Hydraulic Radius, in fluid mechanics, is the cross-sectional area of an open channel or pipe divided by the wetted perimeter.
Symbol: Rh
Measurement: LengthUnit: m
Note: Value should be greater than 0.

Other Formulas to find Hydraulic Gradient

​Go Hydraulic Gradient by Manning Formula given Diameter
S=(vfn0.397(Dp23))2

Other formulas in Manning's Formula category

​Go Velocity of Flow in Pipe by Manning Formula
vf=(1n)(Rh23)(S12)
​Go Radius of Pipe given Velocity of Flow in Pipe by Manning Formula
Rh=(vfnS12)32
​Go Manning's Coefficient given Velocity of Flow
n=(Rh23)(S12)vf
​Go Velocity of Flow in Pipe by Manning Formula given Diameter
vf=(0.397n)(Dp23)(S12)

How to Evaluate Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula?

Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula evaluator uses Hydraulic Gradient = ((Flow Velocity*Manning Coefficient)/(Hydraulic Radius^(2/3)))^2 to evaluate the Hydraulic Gradient, The Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula is defined as the value of hydraulic gradient calculated using Manning's formula, when we have prior information of velocity of flow. Hydraulic Gradient is denoted by S symbol.

How to evaluate Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula using this online evaluator? To use this online evaluator for Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula, enter Flow Velocity (vf), Manning Coefficient (n) & Hydraulic Radius (Rh) and hit the calculate button.

FAQs on Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula

What is the formula to find Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula?
The formula of Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula is expressed as Hydraulic Gradient = ((Flow Velocity*Manning Coefficient)/(Hydraulic Radius^(2/3)))^2. Here is an example- 0.249621 = ((11.96*0.009)/(0.1^(2/3)))^2.
How to calculate Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula?
With Flow Velocity (vf), Manning Coefficient (n) & Hydraulic Radius (Rh) we can find Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula using the formula - Hydraulic Gradient = ((Flow Velocity*Manning Coefficient)/(Hydraulic Radius^(2/3)))^2.
What are the other ways to Calculate Hydraulic Gradient?
Here are the different ways to Calculate Hydraulic Gradient-
  • Hydraulic Gradient=((Flow Velocity*Manning Coefficient)/(0.397*(Diameter of Pipe^(2/3))))^2OpenImg
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