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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. Check FAQs
RH=(1S)(VavgC)2
RH - Hydraulic Radius of Channel?S - Bed Slope?Vavg - Average Velocity of Flow?C - Chezy's Constant?

Manning's Formula for Hydraulic Radius given Chezy's Constant Example

With values
With units
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Here is how the Manning's Formula for Hydraulic Radius given Chezy's Constant equation looks like with Values.

Here is how the Manning's Formula for Hydraulic Radius given Chezy's Constant equation looks like with Units.

Here is how the Manning's Formula for Hydraulic Radius given Chezy's Constant equation looks like.

0.16Edit=(10.0004Edit)(0.32Edit40Edit)2
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Manning's Formula for Hydraulic Radius given Chezy's Constant Solution

Follow our step by step solution on how to calculate Manning's Formula for Hydraulic Radius given Chezy's Constant?

FIRST Step Consider the formula
RH=(1S)(VavgC)2
Next Step Substitute values of Variables
RH=(10.0004)(0.32m/s40)2
Next Step Prepare to Evaluate
RH=(10.0004)(0.3240)2
LAST Step Evaluate
RH=0.16m

Manning's Formula for Hydraulic Radius given Chezy's Constant Formula Elements

Variables
Hydraulic Radius of Channel
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.
Symbol: RH
Measurement: LengthUnit: m
Note: Value should be greater than 0.
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.
Symbol: S
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Average Velocity of Flow
Average Velocity of Flow is defined as the mean of all different velocities.
Symbol: Vavg
Measurement: SpeedUnit: m/s
Note: Value should be greater than 0.
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.
Symbol: C
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.

Other Formulas to find Hydraulic Radius of Channel

​Go Manning's Formula for Hydraulic Radius given Average Velocity
RH=(Vavg(U)nS)32

Other formulas in Manning's Formula in Uniform Flow category

​Go Manning's Formula for Average Velocity
Vavg(U)=(1n)(RH23)(S12)
​Go Manning's Formula for Slope of Channel Bed given Average Velocity
S=(Vavg(U)nRH23)2
​Go Manning's Formula for Coefficient of Roughness given Average Velocity
n=(1Vavg(U))(S12)(RH23)
​Go Manning's Formula for Roughness Coefficient given Chezy's Constant
n=(1C)DHydraulic16

How to Evaluate Manning's Formula for Hydraulic Radius given Chezy's Constant?

Manning's Formula for Hydraulic Radius given Chezy's Constant evaluator uses Hydraulic Radius of Channel = (1/Bed Slope)*(Average Velocity of Flow/Chezy's Constant)^2 to evaluate the Hydraulic Radius of Channel, The Manning's Formula for Hydraulic Radius given Chezy's Constant formula is defined as the inverse of the slope of the bed, and the square of the ratio of the velocity to the Chezy's constant. Hydraulic Radius of Channel is denoted by RH symbol.

How to evaluate Manning's Formula for Hydraulic Radius given Chezy's Constant using this online evaluator? To use this online evaluator for Manning's Formula for Hydraulic Radius given Chezy's Constant, enter Bed Slope (S), Average Velocity of Flow (Vavg) & Chezy's Constant (C) and hit the calculate button.

FAQs on Manning's Formula for Hydraulic Radius given Chezy's Constant

What is the formula to find Manning's Formula for Hydraulic Radius given Chezy's Constant?
The formula of Manning's Formula for Hydraulic Radius given Chezy's Constant is expressed as Hydraulic Radius of Channel = (1/Bed Slope)*(Average Velocity of Flow/Chezy's Constant)^2. Here is an example- 0.16 = (1/0.0004)*(0.32/40)^2.
How to calculate Manning's Formula for Hydraulic Radius given Chezy's Constant?
With Bed Slope (S), Average Velocity of Flow (Vavg) & Chezy's Constant (C) we can find Manning's Formula for Hydraulic Radius given Chezy's Constant using the formula - Hydraulic Radius of Channel = (1/Bed Slope)*(Average Velocity of Flow/Chezy's Constant)^2.
What are the other ways to Calculate Hydraulic Radius of Channel?
Here are the different ways to Calculate Hydraulic Radius of Channel-
  • Hydraulic Radius of Channel=(Average Velocity of Uniform Flow*Manning’s Roughness Coefficient/sqrt(Bed Slope))^(3/2)OpenImg
Can the Manning's Formula for Hydraulic Radius given Chezy's Constant be negative?
No, the Manning's Formula for Hydraulic Radius given Chezy's Constant, measured in Length cannot be negative.
Which unit is used to measure Manning's Formula for Hydraulic Radius given Chezy's Constant?
Manning's Formula for Hydraulic Radius given Chezy's Constant is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Manning's Formula for Hydraulic Radius given Chezy's Constant can be measured.
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