Wetted Perimeter using Chezy's Law Calculator

✖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 [A]			+10% -10%
✖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 using Chezy's Law [P]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Streamflow Measurement Formulas PDF PDF Image

Wetted Perimeter using Chezy's Law Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Chézy’s Coefficients: 1.5 --> No Conversion Required
Cross-Sectional Area: 12 Square Meter --> 12 Square Meter No Conversion Required
Conveyance Function: 8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = (C*(A^(3/2)/K))^2 --> (1.5*(12^(3/2)/8))^2

Evaluating ... ...

P = 60.75

STEP 3: Convert Result to Output's Unit

60.75 Meter --> No Conversion Required

FINAL ANSWER

60.75 Meter <-- Wetted Perimeter

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Civil » Engineering Hydrology » Streamflow Measurement » An Introduction to River Hydraulics » Intermediate and High Flows » Wetted Perimeter 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!

< Intermediate and High Flows Calculators

Conveyance Function Determined by Manning's Law

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

Wetted Perimeter from Manning's Law

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

Cross-sectional Area using Manning's Law

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

Friction Slope

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

Wetted Perimeter using Chezy's Law Formula

LaTeX Go

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

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 Wetted Perimeter using Chezy's Law?

Wetted Perimeter using Chezy's Law calculator uses Wetted Perimeter = (Chézy’s Coefficients*(Cross-Sectional Area^(3/2)/Conveyance Function))^2 to calculate the Wetted Perimeter, The Wetted Perimeter using Chezy's Law formula is defined as an empirical equation describing the relationship between the cross_sectional and the channel geometry, slope, and coefficient expressed as a Chezy's C. Wetted Perimeter is denoted by P symbol.

How to calculate Wetted Perimeter using Chezy's Law using this online calculator? To use this online calculator for Wetted Perimeter using Chezy's Law, enter Chézy’s Coefficients (C), Cross-Sectional Area (A) & Conveyance Function (K) and hit the calculate button. Here is how the Wetted Perimeter using Chezy's Law calculation can be explained with given input values -> 60.75 = (1.5*(12^(3/2)/8))^2.

FAQ

What is Wetted Perimeter using Chezy's Law?

The Wetted Perimeter using Chezy's Law formula is defined as an empirical equation describing the relationship between the cross_sectional and the channel geometry, slope, and coefficient expressed as a Chezy's C and is represented as P = (C*(A^(3/2)/K))^2 or Wetted Perimeter = (Chézy’s Coefficients*(Cross-Sectional Area^(3/2)/Conveyance Function))^2. Chézy’s Coefficients is a function of the flow Reynolds Number - Re - and the relative roughness - ε/R - of the channel, 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 on stage at a section may be determined empirically or by a standard friction law.

How to calculate Wetted Perimeter using Chezy's Law?

The Wetted Perimeter using Chezy's Law formula is defined as an empirical equation describing the relationship between the cross_sectional and the channel geometry, slope, and coefficient expressed as a Chezy's C is calculated using Wetted Perimeter = (Chézy’s Coefficients*(Cross-Sectional Area^(3/2)/Conveyance Function))^2. To calculate Wetted Perimeter using Chezy's Law, you need Chézy’s Coefficients (C), Cross-Sectional Area (A) & Conveyance Function (K). With our tool, you need to enter the respective value for Chézy’s Coefficients, Cross-Sectional Area & Conveyance Function 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 Wetted Perimeter?

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

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

Home

FREE PDFs

🔍 Search