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Friction Factor given Average Velocity in Channel Formula

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The Darcy Friction Factor is a dimensionless parameter used to describe the resistance to fluid flow in pipes or channels. Check FAQs

f = (8 \cdot [g] \cdot R H \cdot \frac{S}{{V avg}^{2}})

f - Darcy Friction Factor?R_H - Hydraulic Radius of Channel?S - Bed Slope?V_avg - Average Velocity of Flow?[g] - Gravitational acceleration on Earth?

Friction Factor given Average Velocity in Channel Example

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Here is how the Friction Factor given Average Velocity in Channel equation looks like with Values.

Here is how the Friction Factor given Average Velocity in Channel equation looks like with Units.

Here is how the Friction Factor given Average Velocity in Channel equation looks like.

0.4903 = (8 \cdot 9.8066 \cdot 1.6 \cdot \frac{0.0004}{{0.32}^{2}})

0.4903 = (8 \cdot 9.8066m/s² \cdot 1.6m \cdot \frac{0.0004}{{0.32m/s}^{2}})

0.4903 = (8 \cdot 9.8066 \cdot 1.6 \cdot \frac{0.0004}{{0.32}^{2}})

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Friction Factor given Average Velocity in Channel Solution

Follow our step by step solution on how to calculate Friction Factor given Average Velocity in Channel?

FIRST Step Consider the formula

f = (8 \cdot [g] \cdot R H \cdot \frac{S}{{V avg}^{2}})

Next Step Substitute values of Variables

∴

f = (8 \cdot [g] \cdot 1.6m \cdot \frac{0.0004}{{0.32m/s}^{2}})

Next Step Substitute values of Constants

∴

f = (8 \cdot 9.8066m/s² \cdot 1.6m \cdot \frac{0.0004}{{0.32m/s}^{2}})

Next Step Prepare to Evaluate

∴

f = (8 \cdot 9.8066 \cdot 1.6 \cdot \frac{0.0004}{{0.32}^{2}})

Next Step Evaluate

∴

f = 0.4903325

LAST Step Rounding Answer

∴

f = 0.4903

Friction Factor given Average Velocity in Channel Formula Elements

Variables

Constants

Darcy Friction Factor

The Darcy Friction Factor is a dimensionless parameter used to describe the resistance to fluid flow in pipes or channels.

Symbol: f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Darcy Friction Factor

Hydraulic Radius of Channel

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.

Symbol: R_H

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Hydraulic Radius of Channel

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.

Symbol: S

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bed Slope

Average Velocity of Flow

Average Velocity of Flow is defined as the mean of all different velocities.

Symbol: V_avg

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Average Velocity of Flow

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Other formulas in Average Velocity in Uniform Flow in Channels category

Go Boundary Shear Stress

ζ 0 = γ l \cdot R H \cdot S

Go Specific Weight of Liquid given Boundary Shear Stress

γ l = \frac{ζ 0}{R H \cdot S}

Go Hydraulic Radius given Boundary Shear Stress

R H = \frac{ζ 0}{γ l \cdot S}

Go Slope of Channel Bottom given Boundary Shear Stress

S = \frac{ζ 0}{γ l \cdot R H}

How to Evaluate Friction Factor given Average Velocity in Channel?

Friction Factor given Average Velocity in Channel evaluator uses Darcy Friction Factor = (8*[g]*Hydraulic Radius of Channel*Bed Slope/Average Velocity of Flow^2) to evaluate 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 evaluate Friction Factor given Average Velocity in Channel using this online evaluator? To use this online evaluator 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.

FAQs on Friction Factor given Average Velocity in Channel

What is the formula to find Friction Factor given Average Velocity in Channel?

The formula of Friction Factor given Average Velocity in Channel is expressed as Darcy Friction Factor = (8*[g]*Hydraulic Radius of Channel*Bed Slope/Average Velocity of Flow^2). Here is an example- 0.490332 = (8*[g]*1.6*0.0004/0.32^2).

How to calculate Friction Factor given Average Velocity in Channel?

With Hydraulic Radius of Channel (R_H), Bed Slope (S) & Average Velocity of Flow (V_avg) we can find Friction Factor given Average Velocity in Channel using the formula - Darcy Friction Factor = (8*[g]*Hydraulic Radius of Channel*Bed Slope/Average Velocity of Flow^2). This formula also uses Gravitational acceleration on Earth constant(s).

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Friction Factor given Average Velocity in Channel Formula

Friction Factor given Average Velocity in Channel Example

Friction Factor given Average Velocity in Channel Solution

Friction Factor given Average Velocity in Channel Formula Elements

Other formulas in Average Velocity in Uniform Flow in Channels category

How to Evaluate Friction Factor given Average Velocity in Channel?

FAQs on Friction Factor given Average Velocity in Channel

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