Manning's Formula for Bed Slope given Discharge Calculator

✖Discharge of Channel is the rate of flow of a liquid.ⓘ Discharge of Channel [Q]			+10% -10%
✖Conveyance factor is the ratio of the discharge, Q, in a channel to the square root of the energy gradient, Sf.ⓘ Conveyance Factor [C_f]			+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.ⓘ Manning's Formula for Bed Slope given Discharge [S]

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Formula

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Manning's Formula for Bed Slope given Discharge

Formula

`"S" = ("Q"/"C"_{"f"})^2`

Example

`"0.0004"=("14m³/s"/"700")^2`

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Manning's Formula for Bed Slope given Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bed Slope = (Discharge of Channel/Conveyance Factor)^2
S = (Q/C_f)^2
This formula uses 3 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.
Discharge of Channel - (Measured in Cubic Meter per Second) - Discharge of Channel is the rate of flow of a liquid.
Conveyance Factor - Conveyance factor is the ratio of the discharge, Q, in a channel to the square root of the energy gradient, Sf.

STEP 1: Convert Input(s) to Base Unit

Discharge of Channel: 14 Cubic Meter per Second --> 14 Cubic Meter per Second No Conversion Required
Conveyance Factor: 700 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = (Q/C_f)^2 --> (14/700)^2

Evaluating ... ...

S = 0.0004

STEP 3: Convert Result to Output's Unit

0.0004 --> No Conversion Required

FINAL ANSWER

0.0004 <-- Bed Slope

(Calculation completed in 00.020 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< 19 Computation of Uniform Flow Calculators

Area of Channel Section given Discharge

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

Chezy Constant given Discharge

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

Discharge through Channel

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

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

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

Area of Channel Section given Conveyance of Channel Section

Go Cross-Sectional Area of Channel = Conveyance Factor/(Chezy's Constant*sqrt(Hydraulic Radius of Channel))

Chezy Constant given Conveyance of Channel Section

Go Chezy's Constant = Conveyance Factor/(Cross-Sectional Area of Channel*sqrt(Hydraulic Radius of Channel))

Conveyance of Channel Section

Go Conveyance Factor = Chezy's Constant*Cross-Sectional Area of Channel*sqrt(Hydraulic Radius of Channel)

Manning's Formula for Hydraulic Radius of Channel Section given Conveyance of Section

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

Area of Channel Section by Manning's Formula

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

Manning's Formula for Roughness Coefficient given Conveyance of Section

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

Manning's Formula for Conveyance of Section

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

Hydraulic Radius of Channel Section given Conveyance of Channel Section

Go Hydraulic Radius of Channel = (Conveyance Factor/(Chezy's Constant*Cross-Sectional Area of Channel))^2

Manning's Formula for Discharge given Conveyance

Go Discharge of Channel = Conveyance Factor*sqrt(Bed Slope)

Manning's Formula for Conveyance given Discharge

Go Conveyance Factor = Discharge of Channel/sqrt(Bed Slope)

Discharge given Conveyance

Go Discharge of Channel = Conveyance Factor*sqrt(Bed Slope)

Conveyance given Discharge

Go Conveyance Factor = Discharge of Channel/sqrt(Bed Slope)

Manning's Formula for Bed Slope given Discharge

Go Bed Slope = (Discharge of Channel/Conveyance Factor)^2

Bed Slope given Conveyance Factor

Go Bed Slope = (Discharge of Channel/Conveyance Factor)^2

Manning's Formula for Bed Slope given Discharge Formula

Bed Slope = (Discharge of Channel/Conveyance Factor)^2
S = (Q/C_f)^2

What is Rate of Flow ?

In Physics and Engineering, in particular fluid dynamics, the volumetric flow rate is the volume of fluid which passes per unit time; usually it is represented by the symbol Q. The SI unit is cubic meters per second. Another unit used is standard cubic centimeters per minute. In hydrometry, it is known as discharge.

How to Calculate Manning's Formula for Bed Slope given Discharge?

Manning's Formula for Bed Slope given Discharge calculator uses Bed Slope = (Discharge of Channel/Conveyance Factor)^2 to calculate the Bed Slope, The Manning's Formula for Bed Slope given Discharge formula is used to calculate the slope of the channel with respect to the horizontal line on ground level. Bed Slope is denoted by S symbol.

How to calculate Manning's Formula for Bed Slope given Discharge using this online calculator? To use this online calculator for Manning's Formula for Bed Slope given Discharge, enter Discharge of Channel (Q) & Conveyance Factor (C_f) and hit the calculate button. Here is how the Manning's Formula for Bed Slope given Discharge calculation can be explained with given input values -> 0.0004 = (14/700)^2.

FAQ

What is Manning's Formula for Bed Slope given Discharge?

The Manning's Formula for Bed Slope given Discharge formula is used to calculate the slope of the channel with respect to the horizontal line on ground level and is represented as S = (Q/C_f)^2 or Bed Slope = (Discharge of Channel/Conveyance Factor)^2. Discharge of Channel is the rate of flow of a liquid & Conveyance factor is the ratio of the discharge, Q, in a channel to the square root of the energy gradient, Sf.

How to calculate Manning's Formula for Bed Slope given Discharge?

The Manning's Formula for Bed Slope given Discharge formula is used to calculate the slope of the channel with respect to the horizontal line on ground level is calculated using Bed Slope = (Discharge of Channel/Conveyance Factor)^2. To calculate Manning's Formula for Bed Slope given Discharge, you need Discharge of Channel (Q) & Conveyance Factor (C_f). With our tool, you need to enter the respective value for Discharge of Channel & Conveyance Factor 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 Bed Slope?

In this formula, Bed Slope uses Discharge of Channel & Conveyance Factor. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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