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)/RH^(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)/RH^(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 00.004 seconds)

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25 Inlet Currents and Tidal Elevations Calculators

Ocean Tide Amplitude using King's Dimensionless Velocity
Go Ocean Tide Amplitude = (Average Area over the Channel Length*Maximum Cross Sectional Average Velocity*Tidal Period)/ (King’s Dimensionless Velocity*2*pi*Surface Area of Bay)
Average Area over Channel Length using King's Dimensionless Velocity
Go Average Area over the Channel Length = (King’s Dimensionless Velocity*2*pi*Ocean Tide Amplitude*Surface Area of Bay)/(Tidal Period*Maximum Cross Sectional Average Velocity)
Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle
Go Maximum Cross Sectional Average Velocity = (King’s Dimensionless Velocity*2*pi*Ocean Tide Amplitude*Surface Area of Bay)/(Average Area over the Channel Length*Tidal Period)
Surface Area of Bay using King's Dimensionless Velocity
Go Surface Area of Bay = (Average Area over the Channel Length*Tidal Period*Maximum Cross Sectional Average Velocity)/(King’s Dimensionless Velocity*2*pi*Ocean Tide Amplitude)
Tidal Period using King's Dimensionless Velocity
Go Tidal Period = (2*pi*Ocean Tide Amplitude*Surface Area of Bay*King’s Dimensionless Velocity)/(Average Area over the Channel Length*Maximum Cross Sectional Average Velocity)
King's Dimensionless Velocity
Go King’s Dimensionless Velocity = (Average Area over the Channel Length*Tidal Period*Maximum Cross Sectional Average Velocity)/(2*pi*Ocean Tide Amplitude*Surface Area of Bay)
Inlet Hydraulic Radius given Inlet Impedance
Go Hydraulic Radius = (Dimensionless Parameter*Inlet Length)/(4*(Inlet Impedance-Exit Energy Loss Coefficient-Entrance Energy Loss Coefficient))
Entrance Energy Loss Coefficient given Inlet Impedance
Go Entrance Energy Loss Coefficient = Inlet Impedance-Exit Energy Loss Coefficient-(Dimensionless Parameter*Inlet Length/(4*Hydraulic Radius))
Darcy - Weisbach Friction Term given Inlet Impedance
Go Dimensionless Parameter = (4*Hydraulic Radius*(Inlet Impedance-Entrance Energy Loss Coefficient-Exit Energy Loss Coefficient))/Inlet Length
Exit Energy Loss Coefficient given Inlet Impedance
Go Exit Energy Loss Coefficient = Inlet Impedance-Entrance Energy Loss Coefficient-(Dimensionless Parameter*Inlet Length/(4*Hydraulic Radius))
Inlet Impedance
Go Inlet Impedance = Entrance Energy Loss Coefficient+Exit Energy Loss Coefficient+(Dimensionless Parameter*Inlet Length/(4*Hydraulic Radius))
Inlet Length given Inlet Impedance
Go Inlet Length = 4*Hydraulic Radius*(Inlet Impedance-Exit Energy Loss Coefficient-Entrance Energy Loss Coefficient)/Dimensionless Parameter
Duration of Inflow given Inlet Channel Velocity
Go Duration of Inflow = (asin(Inlet Velocity/Maximum Cross Sectional Average Velocity)*Tidal Period)/(2*pi)
Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity
Go Maximum Cross Sectional Average Velocity = Inlet Velocity/sin(2*pi*Duration of Inflow/Tidal Period)
Inlet Channel Velocity
Go Inlet Velocity = Maximum Cross Sectional Average Velocity*sin(2*pi*Duration of Inflow/Tidal Period)
Change of Bay Elevation with Time for Flow through Inlet into Bay
Go Change of Bay Elevation with Time = (Average Area over the Channel Length*Average Velocity in Channel for Flow)/Surface Area of Bay
Average Area over Channel Length for Flow through Inlet into Bay
Go Average Area over the Channel Length = (Surface Area of Bay*Change of Bay Elevation with Time)/Average Velocity in Channel for Flow
Average Velocity in Channel for Flow through Inlet into Bay
Go Average Velocity in Channel for Flow = (Surface Area of Bay*Change of Bay Elevation with Time)/Average Area over the Channel Length
Surface Area of Bay for Flow through Inlet into Bay
Go Surface Area of Bay = (Average Velocity in Channel for Flow*Average Area over the Channel Length)/Change of Bay Elevation with Time
Inlet Friction Coefficient Parameter given Keulegan Repletion Coefficient
Go King’s 1st Inlet Friction Coefficient = sqrt(1/King’s Inlet Friction Coefficient)/(Keulegan Repletion Coefficient [dimensionless])
Keulegan Repletion Coefficient
Go Keulegan Repletion Coefficient [dimensionless] = 1/King’s 1st Inlet Friction Coefficient*sqrt(1/King’s Inlet Friction Coefficient)
Inlet Friction Coefficient given Keulegan Repletion Coefficient
Go King’s Inlet Friction Coefficient = 1/(Keulegan Repletion Coefficient [dimensionless]*King’s 1st Inlet Friction Coefficient)^2
Hydraulic Radius given Dimensionless Parameter
Go Hydraulic Radius of the Channel = (116*Manning’s Roughness Coefficient^2/Dimensionless Parameter)^3
Surface Area of Bay given Tidal Prism Filling Bay
Go Surface Area of Bay = Tidal Prism Filling Bay/(2*Bay Tide Amplitude)
Bay Tide Amplitude given Tidal Prism Filling Bay
Go Bay Tide Amplitude = Tidal Prism Filling Bay/(2*Surface Area of Bay)

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

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