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Roughness Coefficient for Full Flow given Discharge Ratio Formula

GoRoughness Coefficient for Full Flow given Velocity Ratio Formula

GoRoughness Coefficient for Full Flow given Self Cleansing Velocity 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{qsQ ratio}{(\frac{a}{A}) \cdot {(\frac{r pf}{R rf})}^{\frac{1}{6}}})

N - Roughness Coefficient for Running Full?n_p - Roughness Coefficient Partially Full?qsQ_ratio - Discharge Ratio?a - Area of Partially Full Sewers?A - Area of Running Full Sewers?r_pf - Hydraulic Mean Depth for Partially Full?R_rf - Hydraulic Mean Depth while Running Full?

Roughness Coefficient for Full Flow given Discharge Ratio Example

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

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

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

0.7377 = 0.9 \cdot (\frac{0.532}{(\frac{3.8}{5.4}) \cdot {(\frac{3.2}{5.2})}^{\frac{1}{6}}})

0.7377 = 0.9 \cdot (\frac{0.532}{(\frac{3.8m²}{5.4m²}) \cdot {(\frac{3.2m}{5.2m})}^{\frac{1}{6}}})

0.7377 = 0.9 \cdot (\frac{0.532}{(\frac{3.8}{5.4}) \cdot {(\frac{3.2}{5.2})}^{\frac{1}{6}}})

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Roughness Coefficient for Full Flow given Discharge Ratio Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

N = 0.9 \cdot (\frac{0.532}{(\frac{3.8m²}{5.4m²}) \cdot {(\frac{3.2m}{5.2m})}^{\frac{1}{6}}})

Next Step Prepare to Evaluate

∴

N = 0.9 \cdot (\frac{0.532}{(\frac{3.8}{5.4}) \cdot {(\frac{3.2}{5.2})}^{\frac{1}{6}}})

Next Step Evaluate

∴

N = 0.737745437764866

LAST Step Rounding Answer

∴

N = 0.7377

Roughness Coefficient for Full Flow given Discharge Ratio Formula Elements

Variables

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

Discharge Ratio

Discharge Ratio is the ratio of discharge at partial flow to discharge at full flow.

Symbol: qsQ_ratio

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Discharge Ratio

Area of Partially Full Sewers

The Area of Partially Full Sewers refers to the cross-sectional flow area at a given water depth, crucial for hydraulic and flow rate calculations.

Symbol: a

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Partially Full Sewers

Area of Running Full Sewers

The Area of Running Full Sewers refers to the total cross-sectional area of the pipe when it is completely filled with fluid.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Running Full Sewers

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

Other Formulas to find Roughness Coefficient for Running Full

Go Roughness Coefficient for Full Flow given Velocity Ratio

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

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}})

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

Roughness Coefficient for Full Flow given Discharge Ratio evaluator uses Roughness Coefficient for Running Full = Roughness Coefficient Partially Full*((Discharge Ratio)/((Area of Partially Full Sewers/Area of Running Full Sewers)*(Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(1/6))) to evaluate the Roughness Coefficient for Running Full, The Roughness Coefficient for Full Flow given Discharge Ratio is defined for 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 Discharge Ratio using this online evaluator? To use this online evaluator for Roughness Coefficient for Full Flow given Discharge Ratio, enter Roughness Coefficient Partially Full (n_p), Discharge Ratio (qsQ_ratio), Area of Partially Full Sewers (a), Area of Running Full Sewers (A), Hydraulic Mean Depth for Partially Full (r_pf) & Hydraulic Mean Depth while Running Full (R_rf) and hit the calculate button.

FAQs on Roughness Coefficient for Full Flow given Discharge Ratio

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

The formula of Roughness Coefficient for Full Flow given Discharge Ratio is expressed as Roughness Coefficient for Running Full = Roughness Coefficient Partially Full*((Discharge Ratio)/((Area of Partially Full Sewers/Area of Running Full Sewers)*(Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(1/6))). Here is an example- 0.409859 = 0.9*((0.532)/((3.8/area_while_running_full)*(3.2/5.2)^(1/6))).

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

With Roughness Coefficient Partially Full (n_p), Discharge Ratio (qsQ_ratio), Area of Partially Full Sewers (a), Area of Running Full Sewers (A), Hydraulic Mean Depth for Partially Full (r_pf) & Hydraulic Mean Depth while Running Full (R_rf) we can find Roughness Coefficient for Full Flow given Discharge Ratio using the formula - Roughness Coefficient for Running Full = Roughness Coefficient Partially Full*((Discharge Ratio)/((Area of Partially Full Sewers/Area of Running Full Sewers)*(Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(1/6))).

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 Ratio/((Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)*sqrt(Bed Slope Ratio)))
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

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: Value
: Unit

Roughness Coefficient for Full Flow given Discharge Ratio Formula

​GoRoughness Coefficient for Full Flow given Velocity Ratio Formula

​GoRoughness Coefficient for Full Flow given Self Cleansing Velocity Formula

Roughness Coefficient for Full Flow given Discharge Ratio Example

Roughness Coefficient for Full Flow given Discharge Ratio Solution

Roughness Coefficient for Full Flow given Discharge Ratio Formula Elements

Other Formulas to find Roughness Coefficient for Running Full

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

FAQs on Roughness Coefficient for Full Flow given Discharge Ratio

Variable Name

GoRoughness Coefficient for Full Flow given Velocity Ratio Formula

GoRoughness Coefficient for Full Flow given Self Cleansing Velocity Formula