Chezy Constant given Discharge through Channels Calculator

✖Discharge of Channel is the rate of flow of a liquid.ⓘ Discharge of Channel [Q]			+10% -10%
✖Wetted Surface Area of Channel [length^2] is the total area of outer surface in contact with the surrounding water.ⓘ Wetted Surface Area of Channel [A]			+10% -10%
✖Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.ⓘ Bed Slope [S]			+10% -10%
✖Wetted Perimeter of Channel is defined as the surface of the channel bottom and sides in direct contact with the aqueous body.ⓘ Wetted Perimeter of Channel [p]			+10% -10%

✖The Chezy's constant is a dimensionless quantity that can be calculated by three formulas, namely: Bazin Formula. Ganguillet -Kutter Formula. Manning's Formula.ⓘ Chezy Constant given Discharge through Channels [C]

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Chezy Constant given Discharge through Channels Solution

STEP 0: Pre-Calculation Summary

Formula Used

Chezy's Constant = Discharge of Channel/(sqrt((Wetted Surface Area of Channel^3)*Bed Slope/Wetted Perimeter of Channel))
C = Q/(sqrt((A^3)*S/p))
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Chezy's Constant - The Chezy's constant is a dimensionless quantity that can be calculated by three formulas, namely: Bazin Formula. Ganguillet -Kutter Formula. Manning's Formula.
Discharge of Channel - (Measured in Cubic Meter per Second) - Discharge of Channel is the rate of flow of a liquid.
Wetted Surface Area of Channel - (Measured in Square Meter) - Wetted Surface Area of Channel [length^2] is the total area of outer surface in contact with the surrounding water.
Bed Slope - Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.
Wetted Perimeter of Channel - (Measured in Meter) - Wetted Perimeter of Channel is defined as the surface of the channel bottom and sides in direct contact with the aqueous body.

STEP 1: Convert Input(s) to Base Unit

Discharge of Channel: 14 Cubic Meter per Second --> 14 Cubic Meter per Second No Conversion Required
Wetted Surface Area of Channel: 25 Square Meter --> 25 Square Meter No Conversion Required
Bed Slope: 0.0004 --> No Conversion Required
Wetted Perimeter of Channel: 16 Meter --> 16 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = Q/(sqrt((A^3)*S/p)) --> 14/(sqrt((25^3)*0.0004/16))

Evaluating ... ...

C = 22.4

STEP 3: Convert Result to Output's Unit

22.4 --> No Conversion Required

FINAL ANSWER

22.4 <-- Chezy's Constant

(Calculation completed in 00.020 seconds)

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Chezy Constant given Discharge through Channels

LaTeX Go Chezy's Constant = Discharge of Channel/(sqrt((Wetted Surface Area of Channel^3)*Bed Slope/Wetted Perimeter of Channel))

Discharge through Channels

LaTeX Go Discharge of Channel = Chezy's Constant*sqrt((Wetted Surface Area of Channel^3)*Bed Slope/Wetted Perimeter of Channel)

Wetted Area given Discharge through Channels

LaTeX Go Wetted Surface Area of Channel = (((Discharge of Channel/Chezy's Constant)^2)*Wetted Perimeter of Channel/Bed Slope)^(1/3)

Wetted Perimeter given Discharge through Channels

LaTeX Go Wetted Perimeter of Channel = ((Wetted Surface Area of Channel^3)*Bed Slope)/((Discharge of Channel/Chezy's Constant)^2)

Chezy Constant given Discharge through Channels Formula

LaTeX Go

Chezy's Constant = Discharge of Channel/(sqrt((Wetted Surface Area of Channel^3)*Bed Slope/Wetted Perimeter of Channel))
C = Q/(sqrt((A^3)*S/p))

What is Chezy Constant?

This equation is called as Chezy's Formula. Where, A is the area of flow of water, m is the hydraulic mean depth or hydraulic radius, 'i' is the slope of the bed and 'C' is the Chezy's Constant.

How to Calculate Chezy Constant given Discharge through Channels?

Chezy Constant given Discharge through Channels calculator uses Chezy's Constant = Discharge of Channel/(sqrt((Wetted Surface Area of Channel^3)*Bed Slope/Wetted Perimeter of Channel)) to calculate the Chezy's Constant, The Chezy Constant given Discharge through Channels is defined as constant depending on flow parameter and property of channel. Chezy's Constant is denoted by C symbol.

How to calculate Chezy Constant given Discharge through Channels using this online calculator? To use this online calculator for Chezy Constant given Discharge through Channels, enter Discharge of Channel (Q), Wetted Surface Area of Channel (A), Bed Slope (S) & Wetted Perimeter of Channel (p) and hit the calculate button. Here is how the Chezy Constant given Discharge through Channels calculation can be explained with given input values -> 22.4 = 14/(sqrt((25^3)*0.0004/16)).

FAQ

What is Chezy Constant given Discharge through Channels?

The Chezy Constant given Discharge through Channels is defined as constant depending on flow parameter and property of channel and is represented as C = Q/(sqrt((A^3)*S/p)) or Chezy's Constant = Discharge of Channel/(sqrt((Wetted Surface Area of Channel^3)*Bed Slope/Wetted Perimeter of Channel)). Discharge of Channel is the rate of flow of a liquid, Wetted Surface Area of Channel [length^2] is the total area of outer surface in contact with the surrounding water, Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow & Wetted Perimeter of Channel is defined as the surface of the channel bottom and sides in direct contact with the aqueous body.

How to calculate Chezy Constant given Discharge through Channels?

The Chezy Constant given Discharge through Channels is defined as constant depending on flow parameter and property of channel is calculated using Chezy's Constant = Discharge of Channel/(sqrt((Wetted Surface Area of Channel^3)*Bed Slope/Wetted Perimeter of Channel)). To calculate Chezy Constant given Discharge through Channels, you need Discharge of Channel (Q), Wetted Surface Area of Channel (A), Bed Slope (S) & Wetted Perimeter of Channel (p). With our tool, you need to enter the respective value for Discharge of Channel, Wetted Surface Area of Channel, Bed Slope & Wetted Perimeter of Channel 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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