Cross-sectional Area using Chezy's Law Calculator

✖Conveyance Function on stage at a section may be determined empirically or by a standard friction law.ⓘ Conveyance Function [K]			+10% -10%
✖Wetted Perimeter is defined as the surface of the channel bottom and sides in direct contact with the aqueous body.ⓘ Wetted Perimeter [P]			+10% -10%
✖Chézy’s Coefficients is a function of the flow Reynolds Number - Re - and the relative roughness - ε/R - of the channel.ⓘ Chézy’s Coefficients [C]			+10% -10%

✖Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Cross-sectional Area using Chezy's Law [A]

⎘ Copy

👎

Formula

✖

Cross-sectional Area using Chezy's Law

Formula

`"A" = (("K"*"P"^(1/2))/"C")^(2/3)`

Example

`"13.15313m²"=(("8"*("80m")^(1/2))/"1.5")^(2/3)`

Calculator

LaTeX

Reset

👍

Download Streamflow Measurement Formulas PDF PDF Image

Cross-sectional Area using Chezy's Law Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cross-Sectional Area = ((Conveyance Function*Wetted Perimeter^(1/2))/Chézy’s Coefficients)^(2/3)
A = ((K*P^(1/2))/C)^(2/3)
This formula uses 4 Variables

Variables Used

Cross-Sectional Area - (Measured in Square Meter) - Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.
Conveyance Function - Conveyance Function on stage at a section may be determined empirically or by a standard friction law.
Wetted Perimeter - (Measured in Meter) - Wetted Perimeter is defined as the surface of the channel bottom and sides in direct contact with the aqueous body.
Chézy’s Coefficients - Chézy’s Coefficients is a function of the flow Reynolds Number - Re - and the relative roughness - ε/R - of the channel.

STEP 1: Convert Input(s) to Base Unit

Conveyance Function: 8 --> No Conversion Required
Wetted Perimeter: 80 Meter --> 80 Meter No Conversion Required
Chézy’s Coefficients: 1.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = ((K*P^(1/2))/C)^(2/3) --> ((8*80^(1/2))/1.5)^(2/3)

Evaluating ... ...

A = 13.1531310630958

STEP 3: Convert Result to Output's Unit

13.1531310630958 Square Meter --> No Conversion Required

FINAL ANSWER

13.1531310630958 ≈ 13.15313 Square Meter <-- Cross-Sectional Area

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Engineering Hydrology » Streamflow Measurement » An Introduction to River Hydraulics » Intermediate and High Flows » Cross-sectional Area using Chezy's Law

Credits

Created by Ayush Singh

Gautam Buddha University (GBU), Greater Noida

Ayush Singh has created this Calculator and 50+ more calculators!

Verified by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has verified this Calculator and 700+ more calculators!

< 8 Intermediate and High Flows Calculators

Conveyance Function Determined by Manning's Law

Go Conveyance Function = (1/Manning’s Roughness Coefficient)*(Cross-Sectional Area)^(5/3)/(Wetted Perimeter)^(2/3)

Wetted Perimeter from Manning's Law

Go Wetted Perimeter = ((1/Manning’s Roughness Coefficient)*(Cross-Sectional Area^(5/3)/Conveyance Function))^(3/2)

Cross-sectional Area using Manning's Law

Go Cross-Sectional Area = (Conveyance Function*Manning’s Roughness Coefficient*Wetted Perimeter^(2/3))^(3/5)

Cross-sectional Area using Chezy's Law

Go Cross-Sectional Area = ((Conveyance Function*Wetted Perimeter^(1/2))/Chézy’s Coefficients)^(2/3)

Conveyance Function determined by Chezy's Law

Go Conveyance Function = Chézy’s Coefficients*(Cross-Sectional Area^(3/2)/Wetted Perimeter^(1/2))

Wetted Perimeter using Chezy's Law

Go Wetted Perimeter = (Chézy’s Coefficients*(Cross-Sectional Area^(3/2)/Conveyance Function))^2

Instantaneous Discharge given Friction Slope

Go Instantaneous Discharge = sqrt(Friction Slope*Conveyance Function^2)

Friction Slope

Go Friction Slope = Instantaneous Discharge^2/Conveyance Function^2

Cross-sectional Area using Chezy's Law Formula

Cross-Sectional Area = ((Conveyance Function*Wetted Perimeter^(1/2))/Chézy’s Coefficients)^(2/3)
A = ((K*P^(1/2))/C)^(2/3)

What is Chezy’s Law?

The Chezy's equation is an empirical equation that describes the relationship between the velocity in a conduit and the channel geometry, slope, and a friction coefficient expressed as a Chezy's C.

Description about Chezy's Law

Even though Chézy’s law was originally intended for flow which is both steady (Unchanging in time) and uniform (unchanging along the waterway), they have been widely accepted as the governing friction equations in more generally unsteady and non-uniform flows.

How to Calculate Cross-sectional Area using Chezy's Law?

Cross-sectional Area using Chezy's Law calculator uses Cross-Sectional Area = ((Conveyance Function*Wetted Perimeter^(1/2))/Chézy’s Coefficients)^(2/3) to calculate the Cross-Sectional Area, The Cross-sectional Area using Chezy's Law formula is defined as the area of flow calculated as the product of the conveyance function, chezy's coefficient and wetted perimeter. Cross-Sectional Area is denoted by A symbol.

How to calculate Cross-sectional Area using Chezy's Law using this online calculator? To use this online calculator for Cross-sectional Area using Chezy's Law, enter Conveyance Function (K), Wetted Perimeter (P) & Chézy’s Coefficients (C) and hit the calculate button. Here is how the Cross-sectional Area using Chezy's Law calculation can be explained with given input values -> 13.15313 = ((8*80^(1/2))/1.5)^(2/3).

FAQ

What is Cross-sectional Area using Chezy's Law?

The Cross-sectional Area using Chezy's Law formula is defined as the area of flow calculated as the product of the conveyance function, chezy's coefficient and wetted perimeter and is represented as A = ((K*P^(1/2))/C)^(2/3) or Cross-Sectional Area = ((Conveyance Function*Wetted Perimeter^(1/2))/Chézy’s Coefficients)^(2/3). Conveyance Function on stage at a section may be determined empirically or by a standard friction law, Wetted Perimeter is defined as the surface of the channel bottom and sides in direct contact with the aqueous body & Chézy’s Coefficients is a function of the flow Reynolds Number - Re - and the relative roughness - ε/R - of the channel.

How to calculate Cross-sectional Area using Chezy's Law?

The Cross-sectional Area using Chezy's Law formula is defined as the area of flow calculated as the product of the conveyance function, chezy's coefficient and wetted perimeter is calculated using Cross-Sectional Area = ((Conveyance Function*Wetted Perimeter^(1/2))/Chézy’s Coefficients)^(2/3). To calculate Cross-sectional Area using Chezy's Law, you need Conveyance Function (K), Wetted Perimeter (P) & Chézy’s Coefficients (C). With our tool, you need to enter the respective value for Conveyance Function, Wetted Perimeter & Chézy’s Coefficients and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Cross-Sectional Area?

In this formula, Cross-Sectional Area uses Conveyance Function, Wetted Perimeter & Chézy’s Coefficients. We can use 1 other way(s) to calculate the same, which is/are as follows -

Cross-Sectional Area = (Conveyance Function*Manning’s Roughness Coefficient*Wetted Perimeter^(2/3))^(3/5)

Home

FREE PDFs

🔍 Search