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Roughness Coefficient using Flow Velocity Formula

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The Roughness Coefficient of Conduit Surface refers to the roughness or irregularity of the inner surface of a conduit through which fluid flows. Check FAQs

n c = \frac{C \cdot {r H}^{\frac{2}{3}} \cdot S^{\frac{1}{2}}}{V f}

n_c - Roughness Coefficient of Conduit Surface?C - Conversion Factor?r_H - Hydraulic Radius?S - Energy Loss?V_f - Flow Velocity?

Roughness Coefficient using Flow Velocity Example

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Here is how the Roughness Coefficient using Flow Velocity equation looks like with Values.

Here is how the Roughness Coefficient using Flow Velocity equation looks like with Units.

Here is how the Roughness Coefficient using Flow Velocity equation looks like.

0.0169 = \frac{0.028 \cdot {0.33}^{\frac{2}{3}} \cdot 2^{\frac{1}{2}}}{1.12}

0.0169 = \frac{0.028 \cdot {0.33m}^{\frac{2}{3}} \cdot {2J}^{\frac{1}{2}}}{1.12m/s}

0.0169 = \frac{0.028 \cdot {0.33}^{\frac{2}{3}} \cdot 2^{\frac{1}{2}}}{1.12}

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Roughness Coefficient using Flow Velocity Solution

Follow our step by step solution on how to calculate Roughness Coefficient using Flow Velocity?

FIRST Step Consider the formula

n c = \frac{C \cdot {r H}^{\frac{2}{3}} \cdot S^{\frac{1}{2}}}{V f}

Next Step Substitute values of Variables

∴

n c = \frac{0.028 \cdot {0.33m}^{\frac{2}{3}} \cdot {2J}^{\frac{1}{2}}}{1.12m/s}

Next Step Prepare to Evaluate

∴

n c = \frac{0.028 \cdot {0.33}^{\frac{2}{3}} \cdot 2^{\frac{1}{2}}}{1.12}

Next Step Evaluate

∴

n c = 0.0168835706601999

LAST Step Rounding Answer

∴

n c = 0.0169

Roughness Coefficient using Flow Velocity Formula Elements

Variables

Roughness Coefficient of Conduit Surface

The Roughness Coefficient of Conduit Surface refers to the roughness or irregularity of the inner surface of a conduit through which fluid flows.

Symbol: n_c

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Roughness Coefficient of Conduit Surface

Conversion Factor

Conversion Factor is a numerical coefficient used to convert one set of units to another.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Conversion Factor

Hydraulic Radius

The Hydraulic Radius refers to 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 can be positive or negative.

Formulas to find Hydraulic Radius

Energy Loss

The Energy Loss refers to the dissipation or reduction of energy within a system or process.

Symbol: S

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Energy Loss

Flow Velocity

The Flow Velocity refers to the speed at which a fluid (such as water) moves through a specific cross-section.

Symbol: V_f

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Flow Velocity

Other formulas in Flow Velocity in Straight Sewers category

Go Flow Velocity using Manning's formula

V f = \frac{C \cdot {r H}^{\frac{2}{3}} \cdot S^{\frac{1}{2}}}{n c}

Go Hydraulic Radius given Flow Velocity

r H = {(\frac{V f \cdot n c}{C \cdot S^{\frac{1}{2}}})}^{\frac{3}{2}}

Go Energy Loss given Flow Velocity

S = {(\frac{V f \cdot n c}{C \cdot {r H}^{\frac{2}{3}}})}^{2}

Go Conversion Factor given Flow Velocity

C = (\frac{V f \cdot n c}{(S^{\frac{1}{2}}) \cdot {r H}^{\frac{2}{3}}})

How to Evaluate Roughness Coefficient using Flow Velocity?

Roughness Coefficient using Flow Velocity evaluator uses Roughness Coefficient of Conduit Surface = (Conversion Factor*Hydraulic Radius^(2/3)*Energy Loss^(1/2))/Flow Velocity to evaluate the Roughness Coefficient of Conduit Surface, The Roughness Coefficient using Flow Velocity is defined as the roughness coefficient of the pipe material when we have prior info of the rate of flow of water, energy loss, and hydraulic radius. Roughness Coefficient of Conduit Surface is denoted by n_c symbol.

How to evaluate Roughness Coefficient using Flow Velocity using this online evaluator? To use this online evaluator for Roughness Coefficient using Flow Velocity, enter Conversion Factor (C), Hydraulic Radius (r_H), Energy Loss (S) & Flow Velocity (V_f) and hit the calculate button.

FAQs on Roughness Coefficient using Flow Velocity

What is the formula to find Roughness Coefficient using Flow Velocity?

The formula of Roughness Coefficient using Flow Velocity is expressed as Roughness Coefficient of Conduit Surface = (Conversion Factor*Hydraulic Radius^(2/3)*Energy Loss^(1/2))/Flow Velocity. Here is an example- 0.896035 = (0.028*0.33^(2/3)*2^(1/2))/1.12.

How to calculate Roughness Coefficient using Flow Velocity?

With Conversion Factor (C), Hydraulic Radius (r_H), Energy Loss (S) & Flow Velocity (V_f) we can find Roughness Coefficient using Flow Velocity using the formula - Roughness Coefficient of Conduit Surface = (Conversion Factor*Hydraulic Radius^(2/3)*Energy Loss^(1/2))/Flow Velocity.

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Roughness Coefficient using Flow Velocity Formula

Roughness Coefficient using Flow Velocity Example

Roughness Coefficient using Flow Velocity Solution

Roughness Coefficient using Flow Velocity Formula Elements

Other formulas in Flow Velocity in Straight Sewers category

How to Evaluate Roughness Coefficient using Flow Velocity?

FAQs on Roughness Coefficient using Flow Velocity

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