Manning's Formula for Discharge given Conveyance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Discharge of Channel = Conveyance Factor*sqrt(Bed Slope)
Q = Cf*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
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.
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
Conveyance Factor: 700 --> No Conversion Required
Bed Slope: 0.0004 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Q = Cf*sqrt(S) --> 700*sqrt(0.0004)
Evaluating ... ...
Q = 14
STEP 3: Convert Result to Output's Unit
14 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
14 Cubic Meter per Second <-- Discharge of Channel
(Calculation completed in 00.004 seconds)

Credits

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Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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NSS College of Engineering (NSSCE), Palakkad
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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

Manning's Formula for Discharge given Conveyance Formula

​LaTeX ​Go
Discharge of Channel = Conveyance Factor*sqrt(Bed Slope)
Q = Cf*sqrt(S)

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 metres per second. Another unit used is standard cubic centimetres per minute. In hydrometry, it is known as discharge.

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

Manning's Formula for Discharge given Conveyance calculator uses Discharge of Channel = Conveyance Factor*sqrt(Bed Slope) to calculate the Discharge of Channel, The Manning's Formula for Discharge given Conveyance formula is defined as the amount of liquid flowing in the channel measured at any point in the flow direction. Discharge of Channel is denoted by Q symbol.

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

FAQ

What is Manning's Formula for Discharge given Conveyance?
The Manning's Formula for Discharge given Conveyance formula is defined as the amount of liquid flowing in the channel measured at any point in the flow direction and is represented as Q = Cf*sqrt(S) or Discharge of Channel = Conveyance Factor*sqrt(Bed Slope). Conveyance factor is the ratio of the discharge, Q, in a channel to the square root of the energy gradient, Sf & 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 Discharge given Conveyance?
The Manning's Formula for Discharge given Conveyance formula is defined as the amount of liquid flowing in the channel measured at any point in the flow direction is calculated using Discharge of Channel = Conveyance Factor*sqrt(Bed Slope). To calculate Manning's Formula for Discharge given Conveyance, you need Conveyance Factor (Cf) & Bed Slope (S). With our tool, you need to enter the respective value for Conveyance Factor & 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 Discharge of Channel?
In this formula, Discharge of Channel uses Conveyance Factor & Bed Slope. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Discharge of Channel = Chezy's Constant*Cross-Sectional Area of Channel*sqrt(Hydraulic Radius of Channel*Bed Slope)
  • Discharge of Channel = Conveyance Factor*sqrt(Bed Slope)
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