Inlet Hydraulic Radius given Inlet Impedance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Hydraulic Radius = (Dimensionless Parameter*Inlet Length)/(4*(Inlet Impedance-Exit Energy Loss Coefficient-Entrance Energy Loss Coefficient))
rH = (f*L)/(4*(F-Kex-Ken))
This formula uses 6 Variables
Variables Used
Hydraulic Radius - (Measured in Meter) - Hydraulic Radius 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.
Dimensionless Parameter - Dimensionless Parameter is a numerical value without units used to express ratios, similarities, or relationships between physical quantities.
Inlet Length - (Measured in Meter) - Inlet Length is the length of a narrow water passage between peninsulas or through a barrier island leading to a bay or lagoon.
Inlet Impedance - Inlet Impedance is measure of opposition to airflow at an inlet, influences performance and efficiency of fluid systems.
Exit Energy Loss Coefficient - Exit Energy Loss Coefficient [dimensionless] is a dimensionless number (characteristic coefficient) to calculate the head loss.
Entrance Energy Loss Coefficient - Entrance Energy Loss Coefficient [dimensionless] The loss coefficient (ζ) is a dimensionless number (characteristic coefficient) to calculate the head loss.
STEP 1: Convert Input(s) to Base Unit
Dimensionless Parameter: 0.03 --> No Conversion Required
Inlet Length: 50 Meter --> 50 Meter No Conversion Required
Inlet Impedance: 2.246 --> No Conversion Required
Exit Energy Loss Coefficient: 0.1 --> No Conversion Required
Entrance Energy Loss Coefficient: 1.01 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rH = (f*L)/(4*(F-Kex-Ken)) --> (0.03*50)/(4*(2.246-0.1-1.01))
Evaluating ... ...
rH = 0.330105633802817
STEP 3: Convert Result to Output's Unit
0.330105633802817 Meter --> No Conversion Required
FINAL ANSWER
0.330105633802817 0.330106 Meter <-- Hydraulic Radius
(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg
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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)

Inlet Hydraulic Radius given Inlet Impedance Formula

Hydraulic Radius = (Dimensionless Parameter*Inlet Length)/(4*(Inlet Impedance-Exit Energy Loss Coefficient-Entrance Energy Loss Coefficient))
rH = (f*L)/(4*(F-Kex-Ken))

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 Inlet Hydraulic Radius given Inlet Impedance?

Inlet Hydraulic Radius given Inlet Impedance calculator uses Hydraulic Radius = (Dimensionless Parameter*Inlet Length)/(4*(Inlet Impedance-Exit Energy Loss Coefficient-Entrance Energy Loss Coefficient)) to calculate the Hydraulic Radius, The Inlet Hydraulic Radius given Inlet Impedance 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 is denoted by rH symbol.

How to calculate Inlet Hydraulic Radius given Inlet Impedance using this online calculator? To use this online calculator for Inlet Hydraulic Radius given Inlet Impedance, enter Dimensionless Parameter (f), Inlet Length (L), Inlet Impedance (F), Exit Energy Loss Coefficient (Kex) & Entrance Energy Loss Coefficient (Ken) and hit the calculate button. Here is how the Inlet Hydraulic Radius given Inlet Impedance calculation can be explained with given input values -> 0.330106 = (0.03*50)/(4*(2.246-0.1-1.01)).

FAQ

What is Inlet Hydraulic Radius given Inlet Impedance?
The Inlet Hydraulic Radius given Inlet Impedance 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 rH = (f*L)/(4*(F-Kex-Ken)) or Hydraulic Radius = (Dimensionless Parameter*Inlet Length)/(4*(Inlet Impedance-Exit Energy Loss Coefficient-Entrance Energy Loss Coefficient)). Dimensionless Parameter is a numerical value without units used to express ratios, similarities, or relationships between physical quantities, Inlet Length is the length of a narrow water passage between peninsulas or through a barrier island leading to a bay or lagoon, Inlet Impedance is measure of opposition to airflow at an inlet, influences performance and efficiency of fluid systems, Exit Energy Loss Coefficient [dimensionless] is a dimensionless number (characteristic coefficient) to calculate the head loss & Entrance Energy Loss Coefficient [dimensionless] The loss coefficient (ζ) is a dimensionless number (characteristic coefficient) to calculate the head loss.
How to calculate Inlet Hydraulic Radius given Inlet Impedance?
The Inlet Hydraulic Radius given Inlet Impedance 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 = (Dimensionless Parameter*Inlet Length)/(4*(Inlet Impedance-Exit Energy Loss Coefficient-Entrance Energy Loss Coefficient)). To calculate Inlet Hydraulic Radius given Inlet Impedance, you need Dimensionless Parameter (f), Inlet Length (L), Inlet Impedance (F), Exit Energy Loss Coefficient (Kex) & Entrance Energy Loss Coefficient (Ken). With our tool, you need to enter the respective value for Dimensionless Parameter, Inlet Length, Inlet Impedance, Exit Energy Loss Coefficient & Entrance Energy Loss Coefficient 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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