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Hydraulic Gradient by Manning Formula given Diameter Formula

GoHydraulic Gradient given Velocity of Flow in Pipe by Manning Formula Formula

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Hydraulic Gradient is a specific measurement of liquid pressure above a vertical datum. Check FAQs

S = {(\frac{v f \cdot n}{0.397 \cdot ({D p}^{\frac{2}{3}})})}^{2}

S - Hydraulic Gradient?v_f - Flow Velocity?n - Manning Coefficient?D_p - Diameter of Pipe?

Hydraulic Gradient by Manning Formula given Diameter Example

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Here is how the Hydraulic Gradient by Manning Formula given Diameter equation looks like with Values.

Here is how the Hydraulic Gradient by Manning Formula given Diameter equation looks like with Units.

Here is how the Hydraulic Gradient by Manning Formula given Diameter equation looks like.

0.2494 = {(\frac{11.96 \cdot 0.009}{0.397 \cdot ({0.4}^{\frac{2}{3}})})}^{2}

0.2494 = {(\frac{11.96m/s \cdot 0.009}{0.397 \cdot ({0.4m}^{\frac{2}{3}})})}^{2}

0.2494 = {(\frac{11.96 \cdot 0.009}{0.397 \cdot ({0.4}^{\frac{2}{3}})})}^{2}

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Hydraulic Gradient by Manning Formula given Diameter Solution

Follow our step by step solution on how to calculate Hydraulic Gradient by Manning Formula given Diameter?

FIRST Step Consider the formula

S = {(\frac{v f \cdot n}{0.397 \cdot ({D p}^{\frac{2}{3}})})}^{2}

Next Step Substitute values of Variables

∴

S = {(\frac{11.96m/s \cdot 0.009}{0.397 \cdot ({0.4m}^{\frac{2}{3}})})}^{2}

Next Step Prepare to Evaluate

∴

S = {(\frac{11.96 \cdot 0.009}{0.397 \cdot ({0.4}^{\frac{2}{3}})})}^{2}

Next Step Evaluate

∴

S = 0.249432501908359

LAST Step Rounding Answer

∴

S = 0.2494

Hydraulic Gradient by Manning Formula given Diameter 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.

Formulas to find Hydraulic Gradient

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: v_f

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Flow Velocity

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.

Formulas to find Manning Coefficient

Diameter of Pipe

Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.

Symbol: D_p

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Pipe

Other Formulas to find Hydraulic Gradient

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

S = {(\frac{v f \cdot n}{{R h}^{\frac{2}{3}}})}^{2}

Other formulas in Manning's Formula category

Go Velocity of Flow in Pipe by Manning Formula

v f = (\frac{1}{n}) \cdot ({R h}^{\frac{2}{3}}) \cdot (S^{\frac{1}{2}})

Go Radius of Pipe given Velocity of Flow in Pipe by Manning Formula

R h = {(\frac{v f \cdot n}{S^{\frac{1}{2}}})}^{\frac{3}{2}}

Go Manning's Coefficient given Velocity of Flow

n = \frac{({R h}^{\frac{2}{3}}) \cdot (S^{\frac{1}{2}})}{v f}

Go Velocity of Flow in Pipe by Manning Formula given Diameter

v f = (\frac{0.397}{n}) \cdot ({D p}^{\frac{2}{3}}) \cdot (S^{\frac{1}{2}})

How to Evaluate Hydraulic Gradient by Manning Formula given Diameter?

Hydraulic Gradient by Manning Formula given Diameter evaluator uses Hydraulic Gradient = ((Flow Velocity*Manning Coefficient)/(0.397*(Diameter of Pipe^(2/3))))^2 to evaluate the Hydraulic Gradient, The Hydraulic Gradient by Manning Formula given Diameter is defined as the value of hydraulic gradient calculated using Manning's formula, when we have prior information of diameter of pipe. Hydraulic Gradient is denoted by S symbol.

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

FAQs on Hydraulic Gradient by Manning Formula given Diameter

What is the formula to find Hydraulic Gradient by Manning Formula given Diameter?

The formula of Hydraulic Gradient by Manning Formula given Diameter is expressed as Hydraulic Gradient = ((Flow Velocity*Manning Coefficient)/(0.397*(Diameter of Pipe^(2/3))))^2. Here is an example- 0.249433 = ((11.96*0.009)/(0.397*(0.4^(2/3))))^2.

How to calculate Hydraulic Gradient by Manning Formula given Diameter?

With Flow Velocity (v_f), Manning Coefficient (n) & Diameter of Pipe (D_p) we can find Hydraulic Gradient by Manning Formula given Diameter using the formula - Hydraulic Gradient = ((Flow Velocity*Manning Coefficient)/(0.397*(Diameter of Pipe^(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)/(Hydraulic Radius^(2/3)))^2

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Hydraulic Gradient by Manning Formula given Diameter Formula

​GoHydraulic Gradient given Velocity of Flow in Pipe by Manning Formula Formula

Hydraulic Gradient by Manning Formula given Diameter Example

Hydraulic Gradient by Manning Formula given Diameter Solution

Hydraulic Gradient by Manning Formula given Diameter Formula Elements

Other Formulas to find Hydraulic Gradient

Other formulas in Manning's Formula category

How to Evaluate Hydraulic Gradient by Manning Formula given Diameter?

FAQs on Hydraulic Gradient by Manning Formula given Diameter

Variable Name

GoHydraulic Gradient given Velocity of Flow in Pipe by Manning Formula Formula