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Roughness Coefficient for Full Flow given Velocity Ratio Formula

GoRoughness Coefficient for Full Flow given Self Cleansing Velocity Formula

GoRoughness Coefficient for Full Flow given Hydraulic Mean Depth Ratio Formula

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The Roughness Coefficient for Running Full accounts for uniform surface resistance affecting flow velocity and friction loss. Check FAQs

N = n p \cdot (\frac{νsV ratio}{{(\frac{r pf}{R rf})}^{\frac{2}{3}} \cdot \sqrt{S}})

N - Roughness Coefficient for Running Full?n_p - Roughness Coefficient Partially Full?νsV_ratio - Velocity Ratio?r_pf - Hydraulic Mean Depth for Partially Full?R_rf - Hydraulic Mean Depth while Running Full?S - Bed Slope Ratio?

Roughness Coefficient for Full Flow given Velocity Ratio Example

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Here is how the Roughness Coefficient for Full Flow given Velocity Ratio equation looks like with Values.

Here is how the Roughness Coefficient for Full Flow given Velocity Ratio equation looks like with Units.

Here is how the Roughness Coefficient for Full Flow given Velocity Ratio equation looks like.

0.7047 = 0.9 \cdot (\frac{0.76}{{(\frac{3.2}{5.2})}^{\frac{2}{3}} \cdot \sqrt{1.8}})

0.7047 = 0.9 \cdot (\frac{0.76}{{(\frac{3.2m}{5.2m})}^{\frac{2}{3}} \cdot \sqrt{1.8}})

0.7047 = 0.9 \cdot (\frac{0.76}{{(\frac{3.2}{5.2})}^{\frac{2}{3}} \cdot \sqrt{1.8}})

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Roughness Coefficient for Full Flow given Velocity Ratio Solution

Follow our step by step solution on how to calculate Roughness Coefficient for Full Flow given Velocity Ratio?

FIRST Step Consider the formula

N = n p \cdot (\frac{νsV ratio}{{(\frac{r pf}{R rf})}^{\frac{2}{3}} \cdot \sqrt{S}})

Next Step Substitute values of Variables

∴

N = 0.9 \cdot (\frac{0.76}{{(\frac{3.2m}{5.2m})}^{\frac{2}{3}} \cdot \sqrt{1.8}})

Next Step Prepare to Evaluate

∴

N = 0.9 \cdot (\frac{0.76}{{(\frac{3.2}{5.2})}^{\frac{2}{3}} \cdot \sqrt{1.8}})

Next Step Evaluate

∴

N = 0.704674829993457

LAST Step Rounding Answer

∴

N = 0.7047

Roughness Coefficient for Full Flow given Velocity Ratio Formula Elements

Variables

Functions

Roughness Coefficient for Running Full

The Roughness Coefficient for Running Full accounts for uniform surface resistance affecting flow velocity and friction loss.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Roughness Coefficient for Running Full

Roughness Coefficient Partially Full

Roughness Coefficient Partially Full means roughness coefficient of pipe while running partially full.

Symbol: n_p

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Roughness Coefficient Partially Full

Velocity Ratio

The Velocity Ratio compares the flow velocity in a partially full pipe to that in a fully running pipe.

Symbol: νsV_ratio

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Velocity Ratio

Hydraulic Mean Depth for Partially Full

Hydraulic Mean Depth for Partially Full refers to the cross-sectional area of flow divided by the wetted perimeter, adapting to varying water levels.

Symbol: r_pf

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Hydraulic Mean Depth for Partially Full

Hydraulic Mean Depth while Running Full

Hydraulic Mean Depth while Running Full refers to the ratio of the pipe's full cross-sectional area to its full wetted perimeter.

Symbol: R_rf

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Hydraulic Mean Depth while Running Full

Bed Slope Ratio

The Bed Slope Ratio refers to the slope of a partially full pipe to the slope when it is completely full.

Symbol: S

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bed Slope Ratio

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 Roughness Coefficient for Running Full

Go Roughness Coefficient for Full Flow given Self Cleansing Velocity

N = n p \cdot (\frac{\frac{V s}{V}}{{(\frac{r pf}{R rf})}^{\frac{2}{3}} \cdot \sqrt{S}})

Go Roughness Coefficient for Full Flow given Hydraulic Mean Depth Ratio

N = (\frac{(\frac{V s}{V})}{{(R)}^{\frac{1}{6}}}) \cdot n p

Go Roughness Coefficient for Full Flow given Hydraulic Mean Depth and Velocity Ratio

N = (\frac{νsV ratio}{{(R)}^{\frac{1}{6}}}) \cdot n p

Go Roughness Coefficient for Full Flow given Discharge Ratio

N = n p \cdot (\frac{qsQ ratio}{(\frac{a}{A}) \cdot {(\frac{r pf}{R rf})}^{\frac{1}{6}}})

How to Evaluate Roughness Coefficient for Full Flow given Velocity Ratio?

Roughness Coefficient for Full Flow given Velocity Ratio evaluator uses Roughness Coefficient for Running Full = Roughness Coefficient Partially Full*(Velocity Ratio/((Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)*sqrt(Bed Slope Ratio))) to evaluate the Roughness Coefficient for Running Full, Roughness Coefficient for Full Flow given Velocity Ratio is defined for uniform surface resistance affecting flow velocity and friction loss. Roughness Coefficient for Running Full is denoted by N symbol.

How to evaluate Roughness Coefficient for Full Flow given Velocity Ratio using this online evaluator? To use this online evaluator for Roughness Coefficient for Full Flow given Velocity Ratio, enter Roughness Coefficient Partially Full (n_p), Velocity Ratio (νsV_ratio), Hydraulic Mean Depth for Partially Full (r_pf), Hydraulic Mean Depth while Running Full (R_rf) & Bed Slope Ratio (S) and hit the calculate button.

FAQs on Roughness Coefficient for Full Flow given Velocity Ratio

What is the formula to find Roughness Coefficient for Full Flow given Velocity Ratio?

The formula of Roughness Coefficient for Full Flow given Velocity Ratio is expressed as Roughness Coefficient for Running Full = Roughness Coefficient Partially Full*(Velocity Ratio/((Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)*sqrt(Bed Slope Ratio))). Here is an example- 1.854407 = 0.9*(velocity_ratio_/((3.2/5.2)^(2/3)*sqrt(1.8))).

How to calculate Roughness Coefficient for Full Flow given Velocity Ratio?

With Roughness Coefficient Partially Full (n_p), Velocity Ratio (νsV_ratio), Hydraulic Mean Depth for Partially Full (r_pf), Hydraulic Mean Depth while Running Full (R_rf) & Bed Slope Ratio (S) we can find Roughness Coefficient for Full Flow given Velocity Ratio using the formula - Roughness Coefficient for Running Full = Roughness Coefficient Partially Full*(Velocity Ratio/((Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)*sqrt(Bed Slope Ratio))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Roughness Coefficient for Running Full?

Here are the different ways to Calculate Roughness Coefficient for Running Full-

Roughness Coefficient for Running Full=Roughness Coefficient Partially Full*((Velocity in a Partially Running Sewer/Velocity While Running Full)/((Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)*sqrt(Bed Slope Ratio)))
Roughness Coefficient for Running Full=(((Velocity in a Partially Running Sewer/Velocity While Running Full))/(Hydraulic Mean Depth Ratio)^(1/6))*Roughness Coefficient Partially Full
Roughness Coefficient for Running Full=((Velocity Ratio)/(Hydraulic Mean Depth Ratio)^(1/6))*Roughness Coefficient Partially Full

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Roughness Coefficient for Full Flow given Velocity Ratio Formula

​GoRoughness Coefficient for Full Flow given Self Cleansing Velocity Formula

​GoRoughness Coefficient for Full Flow given Hydraulic Mean Depth Ratio Formula

Roughness Coefficient for Full Flow given Velocity Ratio Example

Roughness Coefficient for Full Flow given Velocity Ratio Solution

Roughness Coefficient for Full Flow given Velocity Ratio Formula Elements

Other Formulas to find Roughness Coefficient for Running Full

How to Evaluate Roughness Coefficient for Full Flow given Velocity Ratio?

FAQs on Roughness Coefficient for Full Flow given Velocity Ratio

Variable Name

GoRoughness Coefficient for Full Flow given Self Cleansing Velocity Formula

GoRoughness Coefficient for Full Flow given Hydraulic Mean Depth Ratio Formula