Dimensionless Parameter Function of Hydraulic Radius and Manning's Roughness Coefficient Calculator

✖Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.ⓘ Manning’s Roughness Coefficient [n]			+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 of the Channel [R_H]			+10% -10%

✖Dimensionless Parameter is a numerical value without units used to express ratios, similarities, or relationships between physical quantities.ⓘ Dimensionless Parameter Function of Hydraulic Radius and Manning's Roughness Coefficient [f]

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Dimensionless Parameter Function of Hydraulic Radius and Manning's Roughness Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dimensionless Parameter = (116*Manning’s Roughness Coefficient^2)/Hydraulic Radius of the Channel^(1/3)
f = (116*n^2)/R_H^(1/3)
This formula uses 3 Variables

Variables Used

Dimensionless Parameter - Dimensionless Parameter is a numerical value without units used to express ratios, similarities, or relationships between physical quantities.
Manning’s Roughness Coefficient - Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.
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.

STEP 1: Convert Input(s) to Base Unit

Manning’s Roughness Coefficient: 0.0198 --> No Conversion Required
Hydraulic Radius of the Channel: 3.55 Meter --> 3.55 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f = (116*n^2)/R_H^(1/3) --> (116*0.0198^2)/3.55^(1/3)

Evaluating ... ...

f = 0.0298111629705872

STEP 3: Convert Result to Output's Unit

0.0298111629705872 --> No Conversion Required

FINAL ANSWER

0.0298111629705872 ≈ 0.029811 <-- Dimensionless Parameter

(Calculation completed in 00.008 seconds)

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< Inlet Currents and Tidal Elevations Calculators

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Dimensionless Parameter Function of Hydraulic Radius and Manning's Roughness Coefficient Formula

LaTeX Go

Dimensionless Parameter = (116*Manning’s Roughness Coefficient^2)/Hydraulic Radius of the Channel^(1/3)
f = (116*n^2)/R_H^(1/3)

What is Inlet flow patterns?

An Inlet has a "gorge" where flows converge before they expand again on the opposite side. Shoal (shallow) areas that extend bayward and oceanward from the gorge depend on inlet hydraulics, wave conditions, and general geomorphology. All these interact to determine flow patterns in and around the inlet and locations where flow channels occur.

How to Calculate Dimensionless Parameter Function of Hydraulic Radius and Manning's Roughness Coefficient?

Dimensionless Parameter Function of Hydraulic Radius and Manning's Roughness Coefficient calculator uses Dimensionless Parameter = (116*Manning’s Roughness Coefficient^2)/Hydraulic Radius of the Channel^(1/3) to calculate the Dimensionless Parameter, The Dimensionless Parameter Function of Hydraulic Radius and Manning's Roughness Coefficient by assuming that a constant n for an inlet in sand rather than a uniform f value. For open channels in hard-packed smooth sand, Chow (1959) recommends an n value of 0.020 (in English units, or 0.016 in SI). Dimensionless Parameter is denoted by f symbol.

How to calculate Dimensionless Parameter Function of Hydraulic Radius and Manning's Roughness Coefficient using this online calculator? To use this online calculator for Dimensionless Parameter Function of Hydraulic Radius and Manning's Roughness Coefficient, enter Manning’s Roughness Coefficient (n) & Hydraulic Radius of the Channel (R_H) and hit the calculate button. Here is how the Dimensionless Parameter Function of Hydraulic Radius and Manning's Roughness Coefficient calculation can be explained with given input values -> 0.029811 = (116*0.0198^2)/3.55^(1/3).

FAQ

What is Dimensionless Parameter Function of Hydraulic Radius and Manning's Roughness Coefficient?

The Dimensionless Parameter Function of Hydraulic Radius and Manning's Roughness Coefficient by assuming that a constant n for an inlet in sand rather than a uniform f value. For open channels in hard-packed smooth sand, Chow (1959) recommends an n value of 0.020 (in English units, or 0.016 in SI) and is represented as f = (116*n^2)/R_H^(1/3) or Dimensionless Parameter = (116*Manning’s Roughness Coefficient^2)/Hydraulic Radius of the Channel^(1/3). Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel & 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.

How to calculate Dimensionless Parameter Function of Hydraulic Radius and Manning's Roughness Coefficient?

The Dimensionless Parameter Function of Hydraulic Radius and Manning's Roughness Coefficient by assuming that a constant n for an inlet in sand rather than a uniform f value. For open channels in hard-packed smooth sand, Chow (1959) recommends an n value of 0.020 (in English units, or 0.016 in SI) is calculated using Dimensionless Parameter = (116*Manning’s Roughness Coefficient^2)/Hydraulic Radius of the Channel^(1/3). To calculate Dimensionless Parameter Function of Hydraulic Radius and Manning's Roughness Coefficient, you need Manning’s Roughness Coefficient (n) & Hydraulic Radius of the Channel (R_H). With our tool, you need to enter the respective value for Manning’s Roughness Coefficient & Hydraulic Radius of the Channel 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 Dimensionless Parameter?

In this formula, Dimensionless Parameter uses Manning’s Roughness Coefficient & Hydraulic Radius of the Channel. We can use 1 other way(s) to calculate the same, which is/are as follows -

Dimensionless Parameter = (4*Hydraulic Radius*(Inlet Impedance-Entrance Energy Loss Coefficient-Exit Energy Loss Coefficient))/Inlet Length

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