Friction Factor given Average Velocity in Channel Calculator

✖Hydraulic Radius of 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.ⓘ Hydraulic Radius of Channel [R_H]			+10% -10%
✖Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.ⓘ Bed Slope [S]			+10% -10%
✖Average Velocity of Flow is defined as the mean of all different velocities.ⓘ Average Velocity of Flow [V_avg]			+10% -10%

✖The Darcy Friction Factor is a dimensionless parameter used to describe the resistance to fluid flow in pipes or channels.ⓘ Friction Factor given Average Velocity in Channel [f]

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Formula

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Friction Factor given Average Velocity in Channel

Formula

`"f" = (8*"[g]"*"R"_{"H"}*"S"/"V"_{"avg"}^2)`

Example

`"0.490332"=(8*"[g]"*"1.6m"*"0.0004"/("0.32m/s")^2)`

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Friction Factor given Average Velocity in Channel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Darcy Friction Factor = (8*[g]*Hydraulic Radius of Channel*Bed Slope/Average Velocity of Flow^2)
f = (8*[g]*R_H*S/V_avg^2)
This formula uses 1 Constants, 4 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Darcy Friction Factor - The Darcy Friction Factor is a dimensionless parameter used to describe the resistance to fluid flow in pipes or channels.
Hydraulic Radius of Channel - (Measured in Meter) - Hydraulic Radius of 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.
Bed Slope - Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.
Average Velocity of Flow - (Measured in Meter per Second) - Average Velocity of Flow is defined as the mean of all different velocities.

STEP 1: Convert Input(s) to Base Unit

Hydraulic Radius of Channel: 1.6 Meter --> 1.6 Meter No Conversion Required
Bed Slope: 0.0004 --> No Conversion Required
Average Velocity of Flow: 0.32 Meter per Second --> 0.32 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f = (8*[g]*R_H*S/V_avg^2) --> (8*[g]*1.6*0.0004/0.32^2)

Evaluating ... ...

f = 0.4903325

STEP 3: Convert Result to Output's Unit

0.4903325 --> No Conversion Required

FINAL ANSWER

0.4903325 ≈ 0.490332 <-- Darcy Friction Factor

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< 9 Average Velocity in Uniform Flow in Channels Calculators

Slope of Channel Bed given Average Velocity in Channel

Go Bed Slope = (Average Velocity of Flow/(sqrt(8*[g]*Hydraulic Radius of Channel/Darcy Friction Factor)))^2

Hydraulic Radius given Average Velocity in Channel

Go Hydraulic Radius of Channel = (Average Velocity of Flow/(sqrt(8*[g]*Bed Slope/Darcy Friction Factor)))^2

Average Velocity in Channel

Go Average Velocity of Flow = sqrt(8*[g]*Hydraulic Radius of Channel*Bed Slope/Darcy Friction Factor)

Friction Factor given Average Velocity in Channel

Go Darcy Friction Factor = (8*[g]*Hydraulic Radius of Channel*Bed Slope/Average Velocity of Flow^2)

Specific Weight of Liquid given Boundary Shear Stress

Go Liquid Specific Weight = Shear Stress of Wall/(Hydraulic Radius of Channel*Bed Slope)

Slope of Channel Bottom given Boundary Shear Stress

Go Bed Slope = Shear Stress of Wall/(Liquid Specific Weight*Hydraulic Radius of Channel)

Hydraulic Radius given Boundary Shear Stress

Go Hydraulic Radius of Channel = Shear Stress of Wall/(Liquid Specific Weight*Bed Slope)

Boundary Shear Stress

Go Shear Stress of Wall = Liquid Specific Weight*Hydraulic Radius of Channel*Bed Slope

Strickler Formula for Average Height of Roughness Protrusions

Go Roughness Value = (21*Manning’s Roughness Coefficient)^(6)

Friction Factor given Average Velocity in Channel Formula

Darcy Friction Factor = (8*[g]*Hydraulic Radius of Channel*Bed Slope/Average Velocity of Flow^2)
f = (8*[g]*R_H*S/V_avg^2)

What is Average Velocity?

The average velocity of an object is its total displacement divided by the total time taken. In other words, it is the rate at which an object changes its position from one place to another. Average velocity is a vector quantity.

How to Calculate Friction Factor given Average Velocity in Channel?

Friction Factor given Average Velocity in Channel calculator uses Darcy Friction Factor = (8*[g]*Hydraulic Radius of Channel*Bed Slope/Average Velocity of Flow^2) to calculate the Darcy Friction Factor, The Friction Factor given Average Velocity in Channel is defined as constant which helps in finding resistance due to friction. Darcy Friction Factor is denoted by f symbol.

How to calculate Friction Factor given Average Velocity in Channel using this online calculator? To use this online calculator for Friction Factor given Average Velocity in Channel, enter Hydraulic Radius of Channel (R_H), Bed Slope (S) & Average Velocity of Flow (V_avg) and hit the calculate button. Here is how the Friction Factor given Average Velocity in Channel calculation can be explained with given input values -> 0.490332 = (8*[g]*1.6*0.0004/0.32^2).

FAQ

What is Friction Factor given Average Velocity in Channel?

The Friction Factor given Average Velocity in Channel is defined as constant which helps in finding resistance due to friction and is represented as f = (8*[g]*R_H*S/V_avg^2) or Darcy Friction Factor = (8*[g]*Hydraulic Radius of Channel*Bed Slope/Average Velocity of Flow^2). Hydraulic Radius of 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, Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow & Average Velocity of Flow is defined as the mean of all different velocities.

How to calculate Friction Factor given Average Velocity in Channel?

The Friction Factor given Average Velocity in Channel is defined as constant which helps in finding resistance due to friction is calculated using Darcy Friction Factor = (8*[g]*Hydraulic Radius of Channel*Bed Slope/Average Velocity of Flow^2). To calculate Friction Factor given Average Velocity in Channel, you need Hydraulic Radius of Channel (R_H), Bed Slope (S) & Average Velocity of Flow (V_avg). With our tool, you need to enter the respective value for Hydraulic Radius of Channel, Bed Slope & Average Velocity of Flow 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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