Slope of Channel Bed given Average Velocity in Channel with Chezy Constant Calculator

✖Average Velocity of Flow is defined as the mean of all different velocities.ⓘ Average Velocity of Flow [V_avg]			+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%
✖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 [R_H]			+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.ⓘ Slope of Channel Bed given Average Velocity in Channel with Chezy Constant [S]

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Slope of Channel Bed given Average Velocity in Channel with Chezy Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bed Slope = ((Average Velocity of Flow/Chezy's Constant)^2)/Hydraulic Radius of Channel
S = ((V_avg/C)^2)/R_H
This formula uses 4 Variables

Variables Used

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.
Average Velocity of Flow - (Measured in Meter per Second) - Average Velocity of Flow is defined as the mean of all different velocities.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Average Velocity of Flow: 0.32 Meter per Second --> 0.32 Meter per Second No Conversion Required
Chezy's Constant: 40 --> No Conversion Required
Hydraulic Radius of Channel: 1.6 Meter --> 1.6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = ((V_avg/C)^2)/R_H --> ((0.32/40)^2)/1.6

Evaluating ... ...

S = 4E-05

STEP 3: Convert Result to Output's Unit

4E-05 --> No Conversion Required

FINAL ANSWER

4E-05 ≈ 4E-5 <-- Bed Slope

(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< Chezy Constant in Uniform Flow Calculators

Chezy Constant given Average Velocity in Channel

LaTeX Go Chezy's Constant = Average Velocity of Flow/(sqrt(Hydraulic Radius of Channel*Bed Slope))

Average Velocity in Channel given Chezy Constant

LaTeX Go Average Velocity of Flow = Chezy's Constant*sqrt(Hydraulic Radius of Channel*Bed Slope)

Slope of Channel Bed given Average Velocity in Channel with Chezy Constant

LaTeX Go Bed Slope = ((Average Velocity of Flow/Chezy's Constant)^2)/Hydraulic Radius of Channel

Hydraulic Radius given Average Velocity in Channel with Chezy Constant

LaTeX Go Hydraulic Radius of Channel = ((Average Velocity of Flow/Chezy's Constant)^2)/Bed Slope

Slope of Channel Bed given Average Velocity in Channel with Chezy Constant Formula

LaTeX Go

Bed Slope = ((Average Velocity of Flow/Chezy's Constant)^2)/Hydraulic Radius of Channel
S = ((V_avg/C)^2)/R_H

What is Average Velocity?

The average velocity of an object is its total displacement divided by the total time taken. In other words, it is the rate at which an object changes its position from one place to another. Average velocity is a vector quantity

How to Calculate Slope of Channel Bed given Average Velocity in Channel with Chezy Constant?

Slope of Channel Bed given Average Velocity in Channel with Chezy Constant calculator uses Bed Slope = ((Average Velocity of Flow/Chezy's Constant)^2)/Hydraulic Radius of Channel to calculate the Bed Slope, The Slope of Channel Bed given Average Velocity in Channel with Chezy Constant is defined as elevation of channel with respect to horizontal or Ground level. Bed Slope is denoted by S symbol.

How to calculate Slope of Channel Bed given Average Velocity in Channel with Chezy Constant using this online calculator? To use this online calculator for Slope of Channel Bed given Average Velocity in Channel with Chezy Constant, enter Average Velocity of Flow (V_avg), Chezy's Constant (C) & Hydraulic Radius of Channel (R_H) and hit the calculate button. Here is how the Slope of Channel Bed given Average Velocity in Channel with Chezy Constant calculation can be explained with given input values -> 4E-5 = ((0.32/40)^2)/1.6.

FAQ

What is Slope of Channel Bed given Average Velocity in Channel with Chezy Constant?

The Slope of Channel Bed given Average Velocity in Channel with Chezy Constant is defined as elevation of channel with respect to horizontal or Ground level and is represented as S = ((V_avg/C)^2)/R_H or Bed Slope = ((Average Velocity of Flow/Chezy's Constant)^2)/Hydraulic Radius of Channel. Average Velocity of Flow is defined as the mean of all different velocities, The Chezy's constant is a dimensionless quantity that can be calculated by three formulas, namely: Bazin Formula. Ganguillet -Kutter Formula. Manning's Formula & 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.

How to calculate Slope of Channel Bed given Average Velocity in Channel with Chezy Constant?

The Slope of Channel Bed given Average Velocity in Channel with Chezy Constant is defined as elevation of channel with respect to horizontal or Ground level is calculated using Bed Slope = ((Average Velocity of Flow/Chezy's Constant)^2)/Hydraulic Radius of Channel. To calculate Slope of Channel Bed given Average Velocity in Channel with Chezy Constant, you need Average Velocity of Flow (V_avg), Chezy's Constant (C) & Hydraulic Radius of Channel (R_H). With our tool, you need to enter the respective value for Average Velocity of Flow, Chezy's Constant & Hydraulic Radius 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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