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Hydraulic Radius given Average Velocity in Channel Formula

GoHydraulic Radius given Boundary Shear Stress Formula

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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. Check FAQs

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

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

Hydraulic Radius given Average Velocity in Channel Example

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

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

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

1.6315 = {(\frac{0.32}{\sqrt{8 \cdot 9.8066 \cdot \frac{0.0004}{0.5}}})}^{2}

1.6315m = {(\frac{0.32m/s}{\sqrt{8 \cdot 9.8066m/s² \cdot \frac{0.0004}{0.5}}})}^{2}

1.6315 = {(\frac{0.32}{\sqrt{8 \cdot 9.8066 \cdot \frac{0.0004}{0.5}}})}^{2}

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Hydraulic Radius given Average Velocity in Channel Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R H = {(\frac{0.32m/s}{\sqrt{8 \cdot [g] \cdot \frac{0.0004}{0.5}}})}^{2}

Next Step Substitute values of Constants

∴

R H = {(\frac{0.32m/s}{\sqrt{8 \cdot 9.8066m/s² \cdot \frac{0.0004}{0.5}}})}^{2}

Next Step Prepare to Evaluate

∴

R H = {(\frac{0.32}{\sqrt{8 \cdot 9.8066 \cdot \frac{0.0004}{0.5}}})}^{2}

Next Step Evaluate

∴

R H = 1.63154594076468m

LAST Step Rounding Answer

∴

R H = 1.6315m

Hydraulic Radius given Average Velocity in Channel Formula Elements

Variables

Constants

Functions

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

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

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 to find Hydraulic Radius of Channel

Go Hydraulic Radius given Boundary Shear Stress

R H = \frac{ζ 0}{γ l \cdot S}

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 Slope of Channel Bottom given Boundary Shear Stress

S = \frac{ζ 0}{γ l \cdot R H}

Go Average Velocity in Channel

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

How to Evaluate Hydraulic Radius given Average Velocity in Channel?

Hydraulic Radius given Average Velocity in Channel evaluator uses Hydraulic Radius of Channel = (Average Velocity of Flow/(sqrt(8*[g]*Bed Slope/Darcy Friction Factor)))^2 to evaluate the Hydraulic Radius of Channel, The Hydraulic Radius given Average Velocity in Channel formula is defined as the ratio of wetted area to wetted perimeter. Hydraulic Radius of Channel is denoted by R_H symbol.

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

FAQs on Hydraulic Radius given Average Velocity in Channel

What is the formula to find Hydraulic Radius given Average Velocity in Channel?

The formula of Hydraulic Radius given Average Velocity in Channel is expressed as Hydraulic Radius of Channel = (Average Velocity of Flow/(sqrt(8*[g]*Bed Slope/Darcy Friction Factor)))^2. Here is an example- 1.631546 = (0.32/(sqrt(8*[g]*0.0004/0.5)))^2.

How to calculate Hydraulic Radius given Average Velocity in Channel?

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

What are the other ways to Calculate Hydraulic Radius of Channel?

Here are the different ways to Calculate Hydraulic Radius of Channel-

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

Can the Hydraulic Radius given Average Velocity in Channel be negative?

No, the Hydraulic Radius given Average Velocity in Channel, measured in Length cannot be negative.

Which unit is used to measure Hydraulic Radius given Average Velocity in Channel?

Hydraulic Radius given Average Velocity in Channel is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Hydraulic Radius given Average Velocity in Channel can be measured.

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Hydraulic Radius given Average Velocity in Channel Formula

​GoHydraulic Radius given Boundary Shear Stress Formula

Hydraulic Radius given Average Velocity in Channel Example

Hydraulic Radius given Average Velocity in Channel Solution

Hydraulic Radius given Average Velocity in Channel Formula Elements

Other Formulas to find Hydraulic Radius of Channel

Other formulas in Average Velocity in Uniform Flow in Channels category

How to Evaluate Hydraulic Radius given Average Velocity in Channel?

FAQs on Hydraulic Radius given Average Velocity in Channel

Variable Name

GoHydraulic Radius given Boundary Shear Stress Formula