Hydraulic Radius given Dimensionless Parameter Calculator

✖Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.ⓘ Manning’s Roughness Coefficient [n]			+10% -10%
✖Dimensionless Parameter is a numerical value without units used to express ratios, similarities, or relationships between physical quantities.ⓘ Dimensionless Parameter [f]			+10% -10%

✖Hydraulic Radius of the 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 given Dimensionless Parameter [R_H]

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Formula

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Hydraulic Radius given Dimensionless Parameter

Formula

R H = {(116 \cdot \frac{n^{2}}{f})}^{3}

Example

3.483384 m = {(116 \cdot \frac{{0.0198}^{2}}{0.03})}^{3}

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Hydraulic Radius given Dimensionless Parameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hydraulic Radius of the Channel = (116*Manning’s Roughness Coefficient^2/Dimensionless Parameter)^3
R_H = (116*n^2/f)^3
This formula uses 3 Variables

Variables Used

Hydraulic Radius of the Channel - (Measured in Meter) - Hydraulic Radius of the 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.
Manning’s Roughness Coefficient - Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.
Dimensionless Parameter - Dimensionless Parameter is a numerical value without units used to express ratios, similarities, or relationships between physical quantities.

STEP 1: Convert Input(s) to Base Unit

Manning’s Roughness Coefficient: 0.0198 --> No Conversion Required
Dimensionless Parameter: 0.03 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_H = (116*n^2/f)^3 --> (116*0.0198^2/0.03)^3

Evaluating ... ...

R_H = 3.48338393903271

STEP 3: Convert Result to Output's Unit

3.48338393903271 Meter --> No Conversion Required

FINAL ANSWER

3.48338393903271 ≈ 3.483384 Meter <-- Hydraulic Radius of the Channel

(Calculation completed in 00.004 seconds)

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Hydraulic Radius given Dimensionless Parameter Formula

Hydraulic Radius of the Channel = (116*Manning’s Roughness Coefficient^2/Dimensionless Parameter)^3
R_H = (116*n^2/f)^3

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How to Calculate Hydraulic Radius given Dimensionless Parameter?

Hydraulic Radius given Dimensionless Parameter calculator uses Hydraulic Radius of the Channel = (116*Manning’s Roughness Coefficient^2/Dimensionless Parameter)^3 to calculate the Hydraulic Radius of the Channel, The Hydraulic Radius given Dimensionless Parameter is defined as the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wetted perimeter of the conduit. Hydraulic Radius of the Channel is denoted by R_H symbol.

How to calculate Hydraulic Radius given Dimensionless Parameter using this online calculator? To use this online calculator for Hydraulic Radius given Dimensionless Parameter, enter Manning’s Roughness Coefficient (n) & Dimensionless Parameter (f) and hit the calculate button. Here is how the Hydraulic Radius given Dimensionless Parameter calculation can be explained with given input values -> 3.483384 = (116*0.0198^2/0.03)^3.

FAQ

What is Hydraulic Radius given Dimensionless Parameter?

The Hydraulic Radius given Dimensionless Parameter is defined as the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wetted perimeter of the conduit and is represented as R_H = (116*n^2/f)^3 or Hydraulic Radius of the Channel = (116*Manning’s Roughness Coefficient^2/Dimensionless Parameter)^3. Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel & Dimensionless Parameter is a numerical value without units used to express ratios, similarities, or relationships between physical quantities.

How to calculate Hydraulic Radius given Dimensionless Parameter?

The Hydraulic Radius given Dimensionless Parameter is defined as the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wetted perimeter of the conduit is calculated using Hydraulic Radius of the Channel = (116*Manning’s Roughness Coefficient^2/Dimensionless Parameter)^3. To calculate Hydraulic Radius given Dimensionless Parameter, you need Manning’s Roughness Coefficient (n) & Dimensionless Parameter (f). With our tool, you need to enter the respective value for Manning’s Roughness Coefficient & Dimensionless Parameter 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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