Manning's Formula for Conveyance given Discharge Solution

STEP 0: Pre-Calculation Summary
Formula Used
Conveyance Factor = Discharge of Channel/sqrt(Bed Slope)
Cf = Q/sqrt(S)
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Conveyance Factor - Conveyance factor is the ratio of the discharge, Q, in a channel to the square root of the energy gradient, Sf.
Discharge of Channel - (Measured in Cubic Meter per Second) - Discharge of Channel is the rate of flow of a liquid.
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
Bed Slope: 0.0004 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Cf = Q/sqrt(S) --> 14/sqrt(0.0004)
Evaluating ... ...
Cf = 700
STEP 3: Convert Result to Output's Unit
700 --> No Conversion Required
FINAL ANSWER
700 <-- Conveyance Factor
(Calculation completed in 00.004 seconds)

Credits

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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 Conveyance given Discharge Formula

Conveyance Factor = Discharge of Channel/sqrt(Bed Slope)
Cf = Q/sqrt(S)

What is Conveyance of Channel?

The ratio of the discharge, Q, in a channel to the square root of the energy gradient. used especially in open channel flow.

How to Calculate Manning's Formula for Conveyance given Discharge?

Manning's Formula for Conveyance given Discharge calculator uses Conveyance Factor = Discharge of Channel/sqrt(Bed Slope) to calculate the Conveyance Factor, The Manning's Formula for Conveyance given Discharge formula is defined as the conveyance constant which is depending on channel area and chezy's constant and hydraulic radius. Conveyance Factor is denoted by Cf symbol.

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

FAQ

What is Manning's Formula for Conveyance given Discharge?
The Manning's Formula for Conveyance given Discharge formula is defined as the conveyance constant which is depending on channel area and chezy's constant and hydraulic radius and is represented as Cf = Q/sqrt(S) or Conveyance Factor = Discharge of Channel/sqrt(Bed Slope). Discharge of Channel is the rate of flow of a liquid & 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 Manning's Formula for Conveyance given Discharge?
The Manning's Formula for Conveyance given Discharge formula is defined as the conveyance constant which is depending on channel area and chezy's constant and hydraulic radius is calculated using Conveyance Factor = Discharge of Channel/sqrt(Bed Slope). To calculate Manning's Formula for Conveyance given Discharge, you need Discharge of Channel (Q) & Bed Slope (S). With our tool, you need to enter the respective value for Discharge 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 Conveyance Factor?
In this formula, Conveyance Factor uses Discharge of Channel & Bed Slope. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Conveyance Factor = Discharge of Channel/sqrt(Bed Slope)
  • Conveyance Factor = Chezy's Constant*Cross-Sectional Area of Channel*sqrt(Hydraulic Radius of Channel)
  • Conveyance Factor = (1/Manning’s Roughness Coefficient)*Cross-Sectional Area of Channel*(Hydraulic Radius of Channel^(2/3))
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