Darcy - Weisbach Friction Term given Inlet Impedance Calculator

✖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.ⓘ Hydraulic Radius [r_H]			+10% -10%
✖Inlet Impedance is measure of opposition to airflow at an inlet, influences performance and efficiency of fluid systems.ⓘ Inlet Impedance [F]			+10% -10%
✖Entrance Energy Loss Coefficient [dimensionless] The loss coefficient (ζ) is a dimensionless number (characteristic coefficient) to calculate the head loss.ⓘ Entrance Energy Loss Coefficient [K_en]			+10% -10%
✖Exit Energy Loss Coefficient [dimensionless] is a dimensionless number (characteristic coefficient) to calculate the head loss.ⓘ Exit Energy Loss Coefficient [K_ex]			+10% -10%
✖Inlet Length is the length of a narrow water passage between peninsulas or through a barrier island leading to a bay or lagoon.ⓘ Inlet Length [L]			+10% -10%

✖Dimensionless Parameter is a numerical value without units used to express ratios, similarities, or relationships between physical quantities.ⓘ Darcy - Weisbach Friction Term given Inlet Impedance [f]

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Darcy - Weisbach Friction Term given Inlet Impedance

Formula

`"f" = (4*"r"_{"H"}*("F"-"K"_{"en"}-"K"_{"ex"}))/"L"`

Example

`"0.02999"=(4*"0.33m"*("2.246"-"1.01"-"0.1"))/"50m"`

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Darcy - Weisbach Friction Term given Inlet Impedance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dimensionless Parameter = (4*Hydraulic Radius*(Inlet Impedance-Entrance Energy Loss Coefficient-Exit Energy Loss Coefficient))/Inlet Length
f = (4*r_H*(F-K_en-K_ex))/L
This formula uses 6 Variables

Variables Used

Dimensionless Parameter - Dimensionless Parameter is a numerical value without units used to express ratios, similarities, or relationships between physical quantities.
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.
Inlet Impedance - Inlet Impedance is measure of opposition to airflow at an inlet, influences performance and efficiency of fluid systems.
Entrance Energy Loss Coefficient - Entrance Energy Loss Coefficient [dimensionless] The loss coefficient (ζ) is a dimensionless number (characteristic coefficient) to calculate the head loss.
Exit Energy Loss Coefficient - Exit Energy Loss Coefficient [dimensionless] is a dimensionless number (characteristic coefficient) to calculate the head loss.
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.

STEP 1: Convert Input(s) to Base Unit

Hydraulic Radius: 0.33 Meter --> 0.33 Meter No Conversion Required
Inlet Impedance: 2.246 --> No Conversion Required
Entrance Energy Loss Coefficient: 1.01 --> No Conversion Required
Exit Energy Loss Coefficient: 0.1 --> No Conversion Required
Inlet Length: 50 Meter --> 50 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f = (4*r_H*(F-K_en-K_ex))/L --> (4*0.33*(2.246-1.01-0.1))/50

Evaluating ... ...

f = 0.0299904

STEP 3: Convert Result to Output's Unit

0.0299904 --> No Conversion Required

FINAL ANSWER

0.0299904 ≈ 0.02999 <-- Dimensionless Parameter

(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

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)

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)

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)

Darcy - Weisbach Friction Term given Inlet Impedance Formula

Dimensionless Parameter = (4*Hydraulic Radius*(Inlet Impedance-Entrance Energy Loss Coefficient-Exit Energy Loss Coefficient))/Inlet Length
f = (4*r_H*(F-K_en-K_ex))/L

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 Darcy - Weisbach Friction Term given Inlet Impedance?

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

How to calculate Darcy - Weisbach Friction Term given Inlet Impedance using this online calculator? To use this online calculator for Darcy - Weisbach Friction Term given Inlet Impedance, enter Hydraulic Radius (r_H), Inlet Impedance (F), Entrance Energy Loss Coefficient (K_en), Exit Energy Loss Coefficient (K_ex) & Inlet Length (L) and hit the calculate button. Here is how the Darcy - Weisbach Friction Term given Inlet Impedance calculation can be explained with given input values -> 0.02999 = (4*0.33*(2.246-1.01-0.1))/50.

FAQ

What is Darcy - Weisbach Friction Term given Inlet Impedance?

The Darcy - Weisbach Friction Term given Inlet Impedance 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 and is represented as f = (4*r_H*(F-K_en-K_ex))/L or Dimensionless Parameter = (4*Hydraulic Radius*(Inlet Impedance-Entrance Energy Loss Coefficient-Exit Energy Loss Coefficient))/Inlet Length. 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, Inlet Impedance is measure of opposition to airflow at an inlet, influences performance and efficiency of fluid systems, Entrance Energy Loss Coefficient [dimensionless] The loss coefficient (ζ) is a dimensionless number (characteristic coefficient) to calculate the head loss, Exit Energy Loss Coefficient [dimensionless] is a dimensionless number (characteristic coefficient) to calculate the head loss & Inlet Length is the length of a narrow water passage between peninsulas or through a barrier island leading to a bay or lagoon.

How to calculate Darcy - Weisbach Friction Term given Inlet Impedance?

The Darcy - Weisbach Friction Term given Inlet Impedance 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 is calculated using Dimensionless Parameter = (4*Hydraulic Radius*(Inlet Impedance-Entrance Energy Loss Coefficient-Exit Energy Loss Coefficient))/Inlet Length. To calculate Darcy - Weisbach Friction Term given Inlet Impedance, you need Hydraulic Radius (r_H), Inlet Impedance (F), Entrance Energy Loss Coefficient (K_en), Exit Energy Loss Coefficient (K_ex) & Inlet Length (L). With our tool, you need to enter the respective value for Hydraulic Radius, Inlet Impedance, Entrance Energy Loss Coefficient, Exit Energy Loss Coefficient & Inlet Length 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 Hydraulic Radius, Inlet Impedance, Entrance Energy Loss Coefficient, Exit Energy Loss Coefficient & Inlet Length. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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