Hydraulic Radius of Channel Section given Discharge Calculator

✖Discharge of Channel is the rate of flow of a liquid.ⓘ Discharge of Channel [Q]			+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's Constant [C]			+10% -10%
✖Cross-Sectional Area of Channel 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 of Channel [A_cs]			+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%

✖Hydraulic Radius of Channel is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit.ⓘ Hydraulic Radius of Channel Section given Discharge [R_H]

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Hydraulic Radius of Channel Section given Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hydraulic Radius of Channel = ((Discharge of Channel/(Chezy's Constant*Cross-Sectional Area of Channel))^2)/Bed Slope
R_H = ((Q/(C*A_cs))^2)/S
This formula uses 5 Variables

Variables Used

Hydraulic Radius of Channel - (Measured in Meter) - Hydraulic Radius of Channel is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit.
Discharge of Channel - (Measured in Cubic Meter per Second) - Discharge of Channel is the rate of flow of a liquid.
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.
Cross-Sectional Area of Channel - (Measured in Square Meter) - Cross-Sectional Area of Channel 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.
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.

STEP 1: Convert Input(s) to Base Unit

Discharge of Channel: 14 Cubic Meter per Second --> 14 Cubic Meter per Second No Conversion Required
Chezy's Constant: 40 --> No Conversion Required
Cross-Sectional Area of Channel: 15 Square Meter --> 15 Square Meter No Conversion Required
Bed Slope: 0.0004 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_H = ((Q/(C*A_cs))^2)/S --> ((14/(40*15))^2)/0.0004

Evaluating ... ...

R_H = 1.36111111111111

STEP 3: Convert Result to Output's Unit

1.36111111111111 Meter --> No Conversion Required

FINAL ANSWER

1.36111111111111 ≈ 1.361111 Meter <-- Hydraulic Radius of Channel

(Calculation completed in 00.020 seconds)

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< Computation of Uniform Flow Calculators

Area of Channel Section given Discharge

LaTeX Go Cross-Sectional Area of Channel = Discharge of Channel/(Chezy's Constant*sqrt(Hydraulic Radius of Channel*Bed Slope))

Discharge through Channel

LaTeX Go Discharge of Channel = Chezy's Constant*Cross-Sectional Area of Channel*sqrt(Hydraulic Radius of Channel*Bed Slope)

Hydraulic Radius of Channel Section given Discharge

LaTeX Go Hydraulic Radius of Channel = ((Discharge of Channel/(Chezy's Constant*Cross-Sectional Area of Channel))^2)/Bed Slope

Bed Slope of Channel Section given Discharge

LaTeX Go Bed Slope = ((Discharge of Channel/(Chezy's Constant*Cross-Sectional Area of Channel))^2)/Hydraulic Radius of Channel

Hydraulic Radius of Channel Section given Discharge Formula

LaTeX Go

Hydraulic Radius of Channel = ((Discharge of Channel/(Chezy's Constant*Cross-Sectional Area of Channel))^2)/Bed Slope
R_H = ((Q/(C*A_cs))^2)/S

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 Hydraulic Radius of Channel Section given Discharge?

Hydraulic Radius of Channel Section given Discharge calculator uses Hydraulic Radius of Channel = ((Discharge of Channel/(Chezy's Constant*Cross-Sectional Area of Channel))^2)/Bed Slope to calculate the Hydraulic Radius of Channel, The Hydraulic Radius of Channel Section given Discharge formula is defined as ratio of wetted area to wetted perimeter of section. Hydraulic Radius of Channel is denoted by R_H symbol.

How to calculate Hydraulic Radius of Channel Section given Discharge using this online calculator? To use this online calculator for Hydraulic Radius of Channel Section given Discharge, enter Discharge of Channel (Q), Chezy's Constant (C), Cross-Sectional Area of Channel (A_cs) & Bed Slope (S) and hit the calculate button. Here is how the Hydraulic Radius of Channel Section given Discharge calculation can be explained with given input values -> 26.49221 = ((14/(40*15))^2)/0.0004.

FAQ

What is Hydraulic Radius of Channel Section given Discharge?

The Hydraulic Radius of Channel Section given Discharge formula is defined as ratio of wetted area to wetted perimeter of section and is represented as R_H = ((Q/(C*A_cs))^2)/S or Hydraulic Radius of Channel = ((Discharge of Channel/(Chezy's Constant*Cross-Sectional Area of Channel))^2)/Bed Slope. Discharge of Channel is the rate of flow of a liquid, The Chezy's constant is a dimensionless quantity that can be calculated by three formulas, namely: Bazin Formula. Ganguillet -Kutter Formula. Manning's Formula, Cross-Sectional Area of Channel 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 & Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.

How to calculate Hydraulic Radius of Channel Section given Discharge?

The Hydraulic Radius of Channel Section given Discharge formula is defined as ratio of wetted area to wetted perimeter of section is calculated using Hydraulic Radius of Channel = ((Discharge of Channel/(Chezy's Constant*Cross-Sectional Area of Channel))^2)/Bed Slope. To calculate Hydraulic Radius of Channel Section given Discharge, you need Discharge of Channel (Q), Chezy's Constant (C), Cross-Sectional Area of Channel (A_cs) & Bed Slope (S). With our tool, you need to enter the respective value for Discharge of Channel, Chezy's Constant, Cross-Sectional Area of Channel & Bed Slope 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 Hydraulic Radius of Channel?

In this formula, Hydraulic Radius of Channel uses Discharge of Channel, Chezy's Constant, Cross-Sectional Area of Channel & Bed Slope. We can use 2 other way(s) to calculate the same, which is/are as follows -

Hydraulic Radius of Channel = (Conveyance Factor/(Chezy's Constant*Cross-Sectional Area of Channel))^2
Hydraulic Radius of Channel = (Conveyance Factor/((1/Manning’s Roughness Coefficient)*Cross-Sectional Area of Channel))^(3/2)

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