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

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✖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.ⓘ Flow Velocity for Chezy's Formula [V_c]			+10% -10%
✖The Chezy's Constant refers to an empirical coefficient used to determine flow velocity in open channels, adjusting for roughness.ⓘ Chezy's Constant [C]			+10% -10%
✖The Hydraulic Mean Depth refers to the cross-sectional area of flow divided by the wetted perimeter, used to analyze fluid flow in channels.ⓘ Hydraulic Mean Depth [m]			+10% -10%

✖The Slope for Chezy's Formula refers to the hydraulic gradient or energy slope, indicating the decline in water surface elevation per unit length.ⓘ Hydraulic Gradient given Velocity of Flow by Chezy's Formula [S_c]

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Formula

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Hydraulic Gradient given Velocity of Flow by Chezy's Formula

Formula

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

Example

0.011156 = \frac{{(5.01 m/s)}^{2}}{{(15)}^{2} \cdot 10 m}

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

STEP 0: Pre-Calculation Summary

Formula Used

Slope for Chezy's Formula = (Flow Velocity for Chezy's Formula)^2/((Chezy's Constant)^2*Hydraulic Mean Depth)
S_c = (V_c)^2/((C)^2*m)
This formula uses 4 Variables

Variables Used

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.
Flow Velocity for Chezy's Formula - (Measured in Meter per Second) - 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.
Chezy's Constant - The Chezy's Constant refers to an empirical coefficient used to determine flow velocity in open channels, adjusting for roughness.
Hydraulic Mean Depth - (Measured in Meter) - The Hydraulic Mean Depth refers to the cross-sectional area of flow divided by the wetted perimeter, used to analyze fluid flow in channels.

STEP 1: Convert Input(s) to Base Unit

Flow Velocity for Chezy's Formula: 5.01 Meter per Second --> 5.01 Meter per Second No Conversion Required
Chezy's Constant: 15 --> No Conversion Required
Hydraulic Mean Depth: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_c = (V_c)^2/((C)^2*m) --> (5.01)^2/((15)^2*10)

Evaluating ... ...

S_c = 0.0111556

STEP 3: Convert Result to Output's Unit

0.0111556 --> No Conversion Required

FINAL ANSWER

0.0111556 ≈ 0.011156 <-- Slope for Chezy's Formula

(Calculation completed in 00.005 seconds)

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< Chezy's Formula Calculators

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

Go Chezy's Constant = Flow Velocity for Chezy's Formula/sqrt(Slope for Chezy's Formula*Hydraulic Mean Depth)

Velocity of Flow by Chezy's Formula

Go Flow Velocity for Chezy's Formula = Chezy's Constant*sqrt(Slope for Chezy's Formula*Hydraulic Mean Depth)

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

Go Hydraulic Mean Depth = (Flow Velocity for Chezy's Formula)^2/((Chezy's Constant)^2*Slope for Chezy's Formula)

Hydraulic Gradient given Velocity of Flow by Chezy's Formula

Go Slope for Chezy's Formula = (Flow Velocity for Chezy's Formula)^2/((Chezy's Constant)^2*Hydraulic Mean Depth)

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

Slope for Chezy's Formula = (Flow Velocity for Chezy's Formula)^2/((Chezy's Constant)^2*Hydraulic Mean Depth)
S_c = (V_c)^2/((C)^2*m)

What is Chezy's Constant ?

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

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

Hydraulic Gradient given Velocity of Flow by Chezy's Formula calculator uses Slope for Chezy's Formula = (Flow Velocity for Chezy's Formula)^2/((Chezy's Constant)^2*Hydraulic Mean Depth) to calculate 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 calculate Hydraulic Gradient given Velocity of Flow by Chezy's Formula using this online calculator? To use this online calculator 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. Here is how the Hydraulic Gradient given Velocity of Flow by Chezy's Formula calculation can be explained with given input values -> 0.011156 = (5.01)^2/((15)^2*10).

FAQ

What is Hydraulic Gradient given Velocity of Flow by 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 and is represented as S_c = (V_c)^2/((C)^2*m) or Slope for Chezy's Formula = (Flow Velocity for Chezy's Formula)^2/((Chezy's Constant)^2*Hydraulic Mean Depth). 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, The Chezy's Constant refers to an empirical coefficient used to determine flow velocity in open channels, adjusting for roughness & The Hydraulic Mean Depth refers to the cross-sectional area of flow divided by the wetted perimeter, used to analyze fluid flow in channels.

How to calculate Hydraulic Gradient given Velocity of Flow by 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 is calculated using Slope for Chezy's Formula = (Flow Velocity for Chezy's Formula)^2/((Chezy's Constant)^2*Hydraulic Mean Depth). To calculate Hydraulic Gradient given Velocity of Flow by Chezy's Formula, you need Flow Velocity for Chezy's Formula (V_c), Chezy's Constant (C) & Hydraulic Mean Depth (m). With our tool, you need to enter the respective value for Flow Velocity for Chezy's Formula, Chezy's Constant & Hydraulic Mean Depth and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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