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Hydraulic Gradient given Velocity of Flow by Chezy's Formula Formula

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The Slope for Chezy's Formula refers to the hydraulic gradient or energy slope, indicating the decline in water surface elevation per unit length. Check FAQs

S c = \frac{{(V c)}^{2}}{{(C)}^{2} \cdot m}

S_c - Slope for Chezy's Formula?V_c - Flow Velocity for Chezy's Formula?C - Chezy's Constant?m - Hydraulic Mean Depth?

Hydraulic Gradient given Velocity of Flow by Chezy's Formula Example

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Here is how the Hydraulic Gradient given Velocity of Flow by Chezy's Formula equation looks like with Values.

Here is how the Hydraulic Gradient given Velocity of Flow by Chezy's Formula equation looks like with Units.

Here is how the Hydraulic Gradient given Velocity of Flow by Chezy's Formula equation looks like.

0.0112 = \frac{{(5.01)}^{2}}{{(15)}^{2} \cdot 10}

0.0112 = \frac{{(5.01m/s)}^{2}}{{(15)}^{2} \cdot 10m}

0.0112 = \frac{{(5.01)}^{2}}{{(15)}^{2} \cdot 10}

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Hydraulic Gradient given Velocity of Flow by Chezy's Formula Solution

Follow our step by step solution on how to calculate Hydraulic Gradient given Velocity of Flow by Chezy's Formula?

FIRST Step Consider the formula

S c = \frac{{(V c)}^{2}}{{(C)}^{2} \cdot m}

Next Step Substitute values of Variables

∴

S c = \frac{{(5.01m/s)}^{2}}{{(15)}^{2} \cdot 10m}

Next Step Prepare to Evaluate

∴

S c = \frac{{(5.01)}^{2}}{{(15)}^{2} \cdot 10}

Next Step Evaluate

∴

S c = 0.0111556

LAST Step Rounding Answer

∴

S c = 0.0112

Hydraulic Gradient given Velocity of Flow by Chezy's Formula Formula Elements

Variables

Slope for Chezy's Formula

The Slope for Chezy's Formula refers to the hydraulic gradient or energy slope, indicating the decline in water surface elevation per unit length.

Symbol: S_c

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Slope for Chezy's Formula

Flow Velocity for Chezy's Formula

Flow Velocity for Chezy's Formula refers to the speed of water flow in an open channel, calculated using the Chezy constant and hydraulic slope.

Symbol: V_c

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Flow Velocity for Chezy's Formula

Chezy's Constant

The Chezy's Constant refers to an empirical coefficient used to determine flow velocity in open channels, adjusting for roughness.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Chezy's Constant

Hydraulic Mean Depth

The Hydraulic Mean Depth refers to the cross-sectional area of flow divided by the wetted perimeter, used to analyze fluid flow in channels.

Symbol: m

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Hydraulic Mean Depth

Other formulas in Chezy's Formula category

Go Velocity of Flow by Chezy's Formula

V c = C \cdot \sqrt{S c \cdot m}

Go Chezy's Constant given Velocity of Flow by Chezy's Formula

C = \frac{V c}{\sqrt{S c \cdot m}}

Go Hydraulic Mean Radius of Channel given Velocity of Flow by Chezy's Formula

m = \frac{{(V c)}^{2}}{{(C)}^{2} \cdot S c}

Go Hydraulic Mean Radius of Channel

m = (\frac{A w}{P})

How to Evaluate Hydraulic Gradient given Velocity of Flow by Chezy's Formula?

Hydraulic Gradient given Velocity of Flow by Chezy's Formula evaluator uses Slope for Chezy's Formula = (Flow Velocity for Chezy's Formula)^2/((Chezy's Constant)^2*Hydraulic Mean Depth) to evaluate the Slope for Chezy's Formula, The Hydraulic Gradient given Velocity of Flow by Chezy's Formula is defined as the ratio of the cross-sectional area of flow to the wetted perimeter, crucial in fluid flow analysis. Slope for Chezy's Formula is denoted by S_c symbol.

How to evaluate Hydraulic Gradient given Velocity of Flow by Chezy's Formula using this online evaluator? To use this online evaluator for Hydraulic Gradient given Velocity of Flow by Chezy's Formula, enter Flow Velocity for Chezy's Formula (V_c), Chezy's Constant (C) & Hydraulic Mean Depth (m) and hit the calculate button.

FAQs on Hydraulic Gradient given Velocity of Flow by Chezy's Formula

What is the formula to find Hydraulic Gradient given Velocity of Flow by Chezy's Formula?

The formula of Hydraulic Gradient given Velocity of Flow by Chezy's Formula is expressed as Slope for Chezy's Formula = (Flow Velocity for Chezy's Formula)^2/((Chezy's Constant)^2*Hydraulic Mean Depth). Here is an example- 0.011156 = (5.01)^2/((15)^2*10).

How to calculate Hydraulic Gradient given Velocity of Flow by Chezy's Formula?

With Flow Velocity for Chezy's Formula (V_c), Chezy's Constant (C) & Hydraulic Mean Depth (m) we can find Hydraulic Gradient given Velocity of Flow by Chezy's Formula using the formula - Slope for Chezy's Formula = (Flow Velocity for Chezy's Formula)^2/((Chezy's Constant)^2*Hydraulic Mean Depth).

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