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Inlet Length for known Coefficient of Repletion, or Filling Solution

STEP 0: Pre-Calculation Summary
Formula Used
inlet_length = ((4*hydraulic radius*(2*[g]/(Keulegan Repletion Coefficient [dimensionless]*2*pi*Surface Area of Bay/Tidal Period*Average Area over the Channel Length)^2)/Ocean Tide Amplitude)-Exit Energy Loss Coefficient-Entrance Energy Loss Coefficient)/Darcy - Weisbach friction term
L = ((4*R*(2*[g]/(K*2*pi*Ab/T*Aavg)^2)/ao)-Kex-Ken)/f
This formula uses 2 Constants, 9 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
[g] - Gravitational acceleration on Earth Value Taken As 9.80665 Meter/Second²
Variables Used
hydraulic radius - 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. (Measured in Foot)
Keulegan Repletion Coefficient [dimensionless]- Keulegan Repletion Coefficient [dimensionless]
Surface Area of Bay - Surface Area of Bay is defined as a small body of water set off from the main body. (Measured in Square Meter)
Tidal Period - Tidal Period is an efficient way of guesstimating how much water there is, at any given time of day, over a particular point. (Measured in Hour)
Average Area over the Channel Length - Average Area over the Channel Length (Measured in Square Meter)
Ocean Tide Amplitude - Ocean Tide Amplitude (one-half the ocean tide range) [length] (Measured in Meter)
Exit Energy Loss Coefficient- Exit Energy Loss Coefficient [dimensionless]
Entrance Energy Loss Coefficient- Entrance Energy Loss Coefficient [dimensionless]
Darcy - Weisbach friction term- Darcy - Weisbach friction term
STEP 1: Convert Input(s) to Base Unit
hydraulic radius: 2 Foot --> 0.609600000002438 Meter (Check conversion here)
Keulegan Repletion Coefficient [dimensionless]: 5 --> No Conversion Required
Surface Area of Bay: 20 Square Meter --> 20 Square Meter No Conversion Required
Tidal Period: 10 Hour --> 36000 Second (Check conversion here)
Average Area over the Channel Length: 50 Square Meter --> 50 Square Meter No Conversion Required
Ocean Tide Amplitude: 15 Meter --> 15 Meter No Conversion Required
Exit Energy Loss Coefficient: 87 --> No Conversion Required
Entrance Energy Loss Coefficient: 15 --> No Conversion Required
Darcy - Weisbach friction term: 1 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = ((4*R*(2*[g]/(K*2*pi*Ab/T*Aavg)^2)/ao)-Kex-Ken)/f --> ((4*0.609600000002438*(2*[g]/(5*2*pi*20/36000*50)^2)/15)-87-15)/1
Evaluating ... ...
L = -97.8133214439999
STEP 3: Convert Result to Output's Unit
-97.8133214439999 Meter --> No Conversion Required
FINAL ANSWER
-97.8133214439999 Meter <-- Inlet Length
(Calculation completed in 00.062 seconds)

11 Other formulas that you can solve using the same Inputs

Conversion factor when flow velocity is given
conversion_factor = ((flow velocity*roughness coefficient of conduit surface)/((energy loss^(1/2))*hydraulic radius^(2/3))) Go
Energy loss when flow velocity is given
energy_loss = ((flow velocity*roughness coefficient of conduit surface)/(conversion factor*hydraulic radius^(2/3)))^2 Go
Flow velocity using Manning's formula
flow_velocity = (conversion factor*hydraulic radius^(2/3)*energy loss^(1/2))/roughness coefficient of conduit surface Go
Roughness coefficient when flow velocity is given
roughness_coefficient_of_conduit_surface = (conversion factor*hydraulic radius^(2/3)*energy loss^(1/2))/flow velocity Go
Cross-sectional area when Discharge is given from Manning's equation
cross_sectional_area = (Discharge*Manning’s Roughness Coefficient)/(hydraulic radius^(2/3)*Bed Slope^(1/2)) Go
Slope of Gradient of the Stream bed when Discharge is given in Manning's equation
bed_slope = ((Discharge*Manning’s Roughness Coefficient)/(Cross sectional area*(hydraulic radius^2/3)))^2 Go
Discharge from Manning's equation
discharge = (1/Manning’s Roughness Coefficient)*Cross sectional area*hydraulic radius^2/3*Bed Slope^1/2 Go
Area when Conveyance of the Channel is Given
area_of_cross_section = Conveyance Function/hydraulic radius^2/3*(1/Manning’s Roughness Coefficient) Go
Conveyance of the Channel for Uniform Flow
conveyance_function = (1/Manning’s Roughness Coefficient)*Area of cross section*hydraulic radius^2/3 Go
Manning’s Equation
flow_velocity = (1/Manning’s Roughness Coefficient)*(hydraulic radius)^2/3*(Bed Slope)^1/2 Go
Wetted Area when Hydraulic Mean Depth is Given
surface_area_wetted = hydraulic radius*Wetted Perimeter Go

3 Other formulas that calculate the same Output

Inlet Length when Tidal Period is given
inlet_length = ([g]*Average Area over the Channel Length*(King’s Inlet Friction Coefficient*Tidal Period/2*pi)^2)/Surface Area of Bay Go
Inlet Length for known King’s Inlet Friction Coefficient
inlet_length = (Ocean Tide Amplitude*Surface Area of Bay*Inlet Impedance)/King’s Inlet Friction Coefficient*2*Average Area over the Channel Length Go
Inlet Length for known Inlet Impedance
inlet_length = 4*hydraulic radius*(Inlet Impedance-Exit Energy Loss Coefficient-Entrance Energy Loss Coefficient)/Darcy - Weisbach friction term Go

Inlet Length for known Coefficient of Repletion, or Filling Formula

inlet_length = ((4*hydraulic radius*(2*[g]/(Keulegan Repletion Coefficient [dimensionless]*2*pi*Surface Area of Bay/Tidal Period*Average Area over the Channel Length)^2)/Ocean Tide Amplitude)-Exit Energy Loss Coefficient-Entrance Energy Loss Coefficient)/Darcy - Weisbach friction term
L = ((4*R*(2*[g]/(K*2*pi*Ab/T*Aavg)^2)/ao)-Kex-Ken)/f

What is Darcy - Weisbach Friction term?

In fluid dynamics, the Darcy–Weisbach equation is an empirical equation, which relates the head loss, or pressure loss, due to friction along a given length of pipe to the average velocity of the fluid flow for an incompressible fluid. The equation is named after Henry Darcy and Julius Weisbach.

How to Calculate Inlet Length for known Coefficient of Repletion, or Filling?

Inlet Length for known Coefficient of Repletion, or Filling calculator uses inlet_length = ((4*hydraulic radius*(2*[g]/(Keulegan Repletion Coefficient [dimensionless]*2*pi*Surface Area of Bay/Tidal Period*Average Area over the Channel Length)^2)/Ocean Tide Amplitude)-Exit Energy Loss Coefficient-Entrance Energy Loss Coefficient)/Darcy - Weisbach friction term to calculate the Inlet Length, The Inlet Length for known Coefficient of Repletion, or Filling is the distance a flow travels after entering a pipe before the flow becomes fully developed. Inlet Length and is denoted by L symbol.

How to calculate Inlet Length for known Coefficient of Repletion, or Filling using this online calculator? To use this online calculator for Inlet Length for known Coefficient of Repletion, or Filling, enter hydraulic radius (R), Keulegan Repletion Coefficient [dimensionless] (K), Surface Area of Bay (Ab), Tidal Period (T), Average Area over the Channel Length (Aavg), Ocean Tide Amplitude (ao), Exit Energy Loss Coefficient (Kex), Entrance Energy Loss Coefficient (Ken) and Darcy - Weisbach friction term (f) and hit the calculate button. Here is how the Inlet Length for known Coefficient of Repletion, or Filling calculation can be explained with given input values -> -97.813321 = ((4*0.609600000002438*(2*[g]/(5*2*pi*20/36000*50)^2)/15)-87-15)/1.

FAQ

What is Inlet Length for known Coefficient of Repletion, or Filling?
The Inlet Length for known Coefficient of Repletion, or Filling is the distance a flow travels after entering a pipe before the flow becomes fully developed and is represented as L = ((4*R*(2*[g]/(K*2*pi*Ab/T*Aavg)^2)/ao)-Kex-Ken)/f or inlet_length = ((4*hydraulic radius*(2*[g]/(Keulegan Repletion Coefficient [dimensionless]*2*pi*Surface Area of Bay/Tidal Period*Average Area over the Channel Length)^2)/Ocean Tide Amplitude)-Exit Energy Loss Coefficient-Entrance Energy Loss Coefficient)/Darcy - Weisbach friction term. 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, Keulegan Repletion Coefficient [dimensionless], Surface Area of Bay is defined as a small body of water set off from the main body, Tidal Period is an efficient way of guesstimating how much water there is, at any given time of day, over a particular point, Average Area over the Channel Length, Ocean Tide Amplitude (one-half the ocean tide range) [length], Exit Energy Loss Coefficient [dimensionless], Entrance Energy Loss Coefficient [dimensionless] and Darcy - Weisbach friction term.
How to calculate Inlet Length for known Coefficient of Repletion, or Filling?
The Inlet Length for known Coefficient of Repletion, or Filling is the distance a flow travels after entering a pipe before the flow becomes fully developed is calculated using inlet_length = ((4*hydraulic radius*(2*[g]/(Keulegan Repletion Coefficient [dimensionless]*2*pi*Surface Area of Bay/Tidal Period*Average Area over the Channel Length)^2)/Ocean Tide Amplitude)-Exit Energy Loss Coefficient-Entrance Energy Loss Coefficient)/Darcy - Weisbach friction term. To calculate Inlet Length for known Coefficient of Repletion, or Filling, you need hydraulic radius (R), Keulegan Repletion Coefficient [dimensionless] (K), Surface Area of Bay (Ab), Tidal Period (T), Average Area over the Channel Length (Aavg), Ocean Tide Amplitude (ao), Exit Energy Loss Coefficient (Kex), Entrance Energy Loss Coefficient (Ken) and Darcy - Weisbach friction term (f). With our tool, you need to enter the respective value for hydraulic radius, Keulegan Repletion Coefficient [dimensionless], Surface Area of Bay, Tidal Period, Average Area over the Channel Length, Ocean Tide Amplitude, Exit Energy Loss Coefficient, Entrance Energy Loss Coefficient and Darcy - Weisbach friction term 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 Inlet Length?
In this formula, Inlet Length uses hydraulic radius, Keulegan Repletion Coefficient [dimensionless], Surface Area of Bay, Tidal Period, Average Area over the Channel Length, Ocean Tide Amplitude, Exit Energy Loss Coefficient, Entrance Energy Loss Coefficient and Darcy - Weisbach friction term. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • inlet_length = (Ocean Tide Amplitude*Surface Area of Bay*Inlet Impedance)/King’s Inlet Friction Coefficient*2*Average Area over the Channel Length
  • inlet_length = ([g]*Average Area over the Channel Length*(King’s Inlet Friction Coefficient*Tidal Period/2*pi)^2)/Surface Area of Bay
  • inlet_length = 4*hydraulic radius*(Inlet Impedance-Exit Energy Loss Coefficient-Entrance Energy Loss Coefficient)/Darcy - Weisbach friction term
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