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Average Velocity in Channel Formula

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

V avg = \sqrt{8 \cdot [g] \cdot R H \cdot \frac{S}{f}}

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

Average Velocity in Channel Example

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

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

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

0.3169 = \sqrt{8 \cdot 9.8066 \cdot 1.6 \cdot \frac{0.0004}{0.5}}

0.3169m/s = \sqrt{8 \cdot 9.8066m/s² \cdot 1.6m \cdot \frac{0.0004}{0.5}}

0.3169 = \sqrt{8 \cdot 9.8066 \cdot 1.6 \cdot \frac{0.0004}{0.5}}

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Average Velocity in Channel Solution

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

FIRST Step Consider the formula

V avg = \sqrt{8 \cdot [g] \cdot R H \cdot \frac{S}{f}}

Next Step Substitute values of Variables

∴

V avg = \sqrt{8 \cdot [g] \cdot 1.6m \cdot \frac{0.0004}{0.5}}

Next Step Substitute values of Constants

∴

V avg = \sqrt{8 \cdot 9.8066m/s² \cdot 1.6m \cdot \frac{0.0004}{0.5}}

Next Step Prepare to Evaluate

∴

V avg = \sqrt{8 \cdot 9.8066 \cdot 1.6 \cdot \frac{0.0004}{0.5}}

Next Step Evaluate

∴

V avg = 0.316891299975244m/s

LAST Step Rounding Answer

∴

V avg = 0.3169m/s

Average Velocity in Channel Formula Elements

Variables

Constants

Functions

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

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

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

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 Average Velocity in Channel?

Average Velocity in Channel evaluator uses Average Velocity of Flow = sqrt(8*[g]*Hydraulic Radius of Channel*Bed Slope/Darcy Friction Factor) to evaluate the Average Velocity of Flow, The Average Velocity in Channel is defined as velocity at any point of the section in channel in open channel. Average Velocity of Flow is denoted by V_avg symbol.

How to evaluate Average Velocity in Channel using this online evaluator? To use this online evaluator for Average Velocity in Channel, enter Hydraulic Radius of Channel (R_H), Bed Slope (S) & Darcy Friction Factor (f) and hit the calculate button.

FAQs on Average Velocity in Channel

What is the formula to find Average Velocity in Channel?

The formula of Average Velocity in Channel is expressed as Average Velocity of Flow = sqrt(8*[g]*Hydraulic Radius of Channel*Bed Slope/Darcy Friction Factor). Here is an example- 0.316891 = sqrt(8*[g]*1.6*0.0004/0.5).

How to calculate Average Velocity in Channel?

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

Can the Average Velocity in Channel be negative?

No, the Average Velocity in Channel, measured in Speed cannot be negative.

Which unit is used to measure Average Velocity in Channel?

Average Velocity in Channel is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Average Velocity in Channel can be measured.

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Average Velocity in Channel Formula

Average Velocity in Channel Example

Average Velocity in Channel Solution

Average Velocity in Channel Formula Elements

Other formulas in Average Velocity in Uniform Flow in Channels category

How to Evaluate Average Velocity in Channel?

FAQs on Average Velocity in Channel

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