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Inlet Hydraulic Radius for known Coefficient of Repletion, or Filling Solution

STEP 0: Pre-Calculation Summary
Formula Used
hydraulic_radius = Darcy - Weisbach friction term*Inlet Length/((4*(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)
R = f*L/((4*(2*[g]/(K*2*pi*Ab/T*Aavg)^2)/ao)-Kex-Ken)
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
Darcy - Weisbach friction term- Darcy - Weisbach friction term
Inlet Length - Inlet Length is the length of a narrow water passage between peninsulas or through a barrier island leading to a bay or lagoon. (Measured in Meter)
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]
STEP 1: Convert Input(s) to Base Unit
Darcy - Weisbach friction term: 1 --> No Conversion Required
Inlet Length: 50 Meter --> 50 Meter No Conversion Required
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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
R = f*L/((4*(2*[g]/(K*2*pi*Ab/T*Aavg)^2)/ao)-Kex-Ken) --> 1*50/((4*(2*[g]/(5*2*pi*20/36000*50)^2)/15)-87-15)
Evaluating ... ...
R = -0.525585010636656
STEP 3: Convert Result to Output's Unit
-0.525585010636656 Meter -->-1.72436027111074 Foot (Check conversion here)
FINAL ANSWER
-1.72436027111074 Foot <-- hydraulic radius
(Calculation completed in 00.062 seconds)

11 Other formulas that you can solve using the same Inputs

Average Area over the Channel Length for known Coefficient of Repletion, or Filling
average_area_over_the_channel_length = (Keulegan Repletion Coefficient [dimensionless]*2*pi*Surface Area of Bay)/Tidal Period*sqrt(2*[g]/(Ocean Tide Amplitude*(Entrance Energy Loss Coefficient+Exit Energy Loss Coefficient+(Darcy - Weisbach friction term*Inlet Length/4*hydraulic radius)))) Go
Surface Area of Bay for known Coefficient of Repletion, or Filling
surface_area_of_bay = (Tidal Period*Average Area over the Channel Length*sqrt(2*[g]/(Ocean Tide Amplitude*(Entrance Energy Loss Coefficient+Exit Energy Loss Coefficient+(Darcy - Weisbach friction term*Inlet Length/4*hydraulic radius)))))/Keulegan Repletion Coefficient [dimensionless]*2*pi Go
Tidal Period for known Coefficient of Repletion, or Filling
tidal_period = Keulegan Repletion Coefficient [dimensionless]/(Average Area over the Channel Length/2*pi*Surface Area of Bay)*sqrt(2*[g]/(Ocean Tide Amplitude*(Entrance Energy Loss Coefficient+Exit Energy Loss Coefficient+(Darcy - Weisbach friction term*Inlet Length/4*hydraulic radius)))) Go
Coefficient of Repletion, or Filling
coefficient_of_repletion = (Tidal Period*Average Area over the Channel Length/2*pi*Surface Area of Bay)*sqrt(2*[g]/(Ocean Tide Amplitude*(Entrance Energy Loss Coefficient+Exit Energy Loss Coefficient+(Darcy - Weisbach friction term*Inlet Length/4*hydraulic radius)))) Go
Inlet Length for known Coefficient of Repletion, or Filling
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 Go
Darcy - Weisbach Friction term for known Coefficient of Repletion, or Filling
darcy_weisbach_friction_term = ((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)/Inlet Length Go
Exit Energy Loss Coefficient for known Coefficient of Repletion, or Filling
exit_energy_loss_coefficient = (2*[g]/Ocean Tide Amplitude*(Keulegan Repletion Coefficient [dimensionless]*2*pi*Surface Area of Bay/Tidal Period*Average Area over the Channel Length)^2)-(Darcy - Weisbach friction term*Inlet Length/4*hydraulic radius)-Entrance Energy Loss Coefficient Go
Average Area Over the Channel Length for flow through the Inlet into the Bay
average_area_over_the_channel_length = (Surface Area of Bay*Change of Bay Elevation with Time)/Average Velocity in Channel for flow Go
Change of Bay Elevation with time for flow through the Inlet into the Bay
change_of_bay_elevation_with_time = (Average Area over the Channel Length*Average Velocity in Channel for flow)/Surface Area of Bay Go
Surface Area of Bay for flow through the Inlet into the Bay
surface_area_of_bay = (Average Velocity in Channel for flow*Average Area over the Channel Length)/Change of Bay Elevation with Time Go
Average Velocity in Channel for flow through Inlet into the Bay
average_velocity_channel = (Surface Area of Bay*Change of Bay Elevation with Time)/Average Area over the Channel Length Go

11 Other formulas that calculate the same Output

Hydraulic Radius of section
hydraulic_radius = ((Width of Section+Channel Slope*Depth of Flow)*Depth of Flow)/(Width of Section+2*sqrt(Channel Slope*Channel Slope+1)) Go
Hydraulic Radius when width is given
hydraulic_radius = (2*Top Width*Top Width*Depth of Flow)/(3*Top Width*Top Width+8*Depth of Flow*Depth of Flow) Go
Hydraulic radius when flow velocity is given
hydraulic_radius = ((flow velocity*roughness coefficient of conduit surface)/(conversion factor*energy loss^(1/2)))^(3/2) Go
Hydraulic Radius of flow
hydraulic_radius = (Depth of Flow*Channel Slope)/(2*sqrt(Channel Slope*Channel Slope+1)) Go
Hydraulic radius when Discharge is given in Manning equation
hydraulic_radius = (Discharge*Manning’s Roughness Coefficient)/(Cross sectional area*Bed Slope^1/2)^(2/3) Go
Hydraulic Radius when angle is given
hydraulic_radius = 0.25*Diameter of Section*(1-sin(Subtended Angle in Radians)/Subtended Angle in Radians) Go
Hydraulic Radius of open channel
hydraulic_radius = (Width of Section*Depth of Flow)/(Width of Section+2*Depth of Flow) Go
Hydraulic Radius when Conveyance of the Channel for Uniform Flow is Given
hydraulic_radius = (Conveyance Function/(1/Manning’s Roughness Coefficient)*Area of cross section)^1/0.66 Go
Hydraulic Radius where Boundary Shear Stress is Given
hydraulic_radius = Wall Shear Stress/(specific weight of liquid*Bed Slope) Go
Hydraulic Radius in Manning's formula
hydraulic_radius = Cross sectional area/Wetted Perimeter Go
Hydraulic Radius or Hydraulic Mean Depth
hydraulic_radius = Surface area/Wetted Perimeter Go

Inlet Hydraulic Radius for known Coefficient of Repletion, or Filling Formula

hydraulic_radius = Darcy - Weisbach friction term*Inlet Length/((4*(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)
R = f*L/((4*(2*[g]/(K*2*pi*Ab/T*Aavg)^2)/ao)-Kex-Ken)

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 Hydraulic Radius for known Coefficient of Repletion, or Filling?

Inlet Hydraulic Radius for known Coefficient of Repletion, or Filling calculator uses hydraulic_radius = Darcy - Weisbach friction term*Inlet Length/((4*(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) to calculate the hydraulic radius, The Inlet Hydraulic Radius for known Coefficient of Repletion, or Filling 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 and is denoted by R symbol.

How to calculate Inlet Hydraulic Radius for known Coefficient of Repletion, or Filling using this online calculator? To use this online calculator for Inlet Hydraulic Radius for known Coefficient of Repletion, or Filling, enter Darcy - Weisbach friction term (f), Inlet Length (L), 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) and Entrance Energy Loss Coefficient (Ken) and hit the calculate button. Here is how the Inlet Hydraulic Radius for known Coefficient of Repletion, or Filling calculation can be explained with given input values -> -1.72436 = 1*50/((4*(2*[g]/(5*2*pi*20/36000*50)^2)/15)-87-15).

FAQ

What is Inlet Hydraulic Radius for known Coefficient of Repletion, or Filling?
The Inlet Hydraulic Radius for known Coefficient of Repletion, or Filling 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 = f*L/((4*(2*[g]/(K*2*pi*Ab/T*Aavg)^2)/ao)-Kex-Ken) or hydraulic_radius = Darcy - Weisbach friction term*Inlet Length/((4*(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, Inlet Length is the length of a narrow water passage between peninsulas or through a barrier island leading to a bay or lagoon, 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] and Entrance Energy Loss Coefficient [dimensionless].
How to calculate Inlet Hydraulic Radius for known Coefficient of Repletion, or Filling?
The Inlet Hydraulic Radius for known Coefficient of Repletion, or Filling 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 = Darcy - Weisbach friction term*Inlet Length/((4*(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). To calculate Inlet Hydraulic Radius for known Coefficient of Repletion, or Filling, you need Darcy - Weisbach friction term (f), Inlet Length (L), 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) and Entrance Energy Loss Coefficient (Ken). With our tool, you need to enter the respective value for Darcy - Weisbach friction term, Inlet Length, Keulegan Repletion Coefficient [dimensionless], Surface Area of Bay, Tidal Period, Average Area over the Channel Length, Ocean Tide Amplitude, Exit Energy Loss Coefficient and 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.
How many ways are there to calculate hydraulic radius?
In this formula, hydraulic radius uses Darcy - Weisbach friction term, Inlet Length, Keulegan Repletion Coefficient [dimensionless], Surface Area of Bay, Tidal Period, Average Area over the Channel Length, Ocean Tide Amplitude, Exit Energy Loss Coefficient and Entrance Energy Loss Coefficient. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • hydraulic_radius = ((flow velocity*roughness coefficient of conduit surface)/(conversion factor*energy loss^(1/2)))^(3/2)
  • hydraulic_radius = Cross sectional area/Wetted Perimeter
  • hydraulic_radius = (Discharge*Manning’s Roughness Coefficient)/(Cross sectional area*Bed Slope^1/2)^(2/3)
  • hydraulic_radius = (Conveyance Function/(1/Manning’s Roughness Coefficient)*Area of cross section)^1/0.66
  • hydraulic_radius = Surface area/Wetted Perimeter
  • hydraulic_radius = (Width of Section*Depth of Flow)/(Width of Section+2*Depth of Flow)
  • hydraulic_radius = ((Width of Section+Channel Slope*Depth of Flow)*Depth of Flow)/(Width of Section+2*sqrt(Channel Slope*Channel Slope+1))
  • hydraulic_radius = (Depth of Flow*Channel Slope)/(2*sqrt(Channel Slope*Channel Slope+1))
  • hydraulic_radius = 0.25*Diameter of Section*(1-sin(Subtended Angle in Radians)/Subtended Angle in Radians)
  • hydraulic_radius = (2*Top Width*Top Width*Depth of Flow)/(3*Top Width*Top Width+8*Depth of Flow*Depth of Flow)
  • hydraulic_radius = Wall Shear Stress/(specific weight of liquid*Bed Slope)
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