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Area of Cross-Section for Partial Flow given Discharge Ratio Formula

GoArea of Cross-Section for Partial Flow given Hydraulic Mean Depth Ratio Formula

GoArea of Cross-section for Partial Flow given Hydraulic Mean Depth and Discharge Ratio Formula

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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. Check FAQs

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

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

Area of Cross-Section for Partial Flow given Discharge Ratio Example

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Here is how the Area of Cross-Section for Partial Flow given Discharge Ratio equation looks like with Values.

Here is how the Area of Cross-Section for Partial Flow given Discharge Ratio equation looks like with Units.

Here is how the Area of Cross-Section for Partial Flow given Discharge Ratio equation looks like.

3.7884 = 5.4 \cdot (\frac{0.532}{(\frac{0.74}{0.9}) \cdot {(\frac{3.2}{5.2})}^{\frac{1}{6}}})

3.7884m² = 5.4m² \cdot (\frac{0.532}{(\frac{0.74}{0.9}) \cdot {(\frac{3.2m}{5.2m})}^{\frac{1}{6}}})

3.7884 = 5.4 \cdot (\frac{0.532}{(\frac{0.74}{0.9}) \cdot {(\frac{3.2}{5.2})}^{\frac{1}{6}}})

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Area of Cross-Section for Partial Flow given Discharge Ratio Solution

Follow our step by step solution on how to calculate Area of Cross-Section for Partial Flow given Discharge Ratio?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

a = 5.4m² \cdot (\frac{0.532}{(\frac{0.74}{0.9}) \cdot {(\frac{3.2m}{5.2m})}^{\frac{1}{6}}})

Next Step Prepare to Evaluate

∴

a = 5.4 \cdot (\frac{0.532}{(\frac{0.74}{0.9}) \cdot {(\frac{3.2}{5.2})}^{\frac{1}{6}}})

Next Step Evaluate

∴

a = 3.78842251825202m²

LAST Step Rounding Answer

∴

a = 3.7884m²

Area of Cross-Section for Partial Flow given Discharge Ratio Formula Elements

Variables

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

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

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

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 Area of Partially Full Sewers

Go Area of Cross-Section for Partial Flow given Hydraulic Mean Depth Ratio

a = A \cdot (\frac{\frac{q}{Q}}{(\frac{N}{n p}) \cdot {(R)}^{\frac{1}{6}}})

Go Area of Cross-section for Partial Flow given Hydraulic Mean Depth and Discharge Ratio

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

Other formulas in Area of Cross Section of Circular Sewer category

Go Area of Cross-Section for Full Flow given Hydraulic Mean Depth Ratio

A = \frac{a}{\frac{\frac{q}{Q}}{(\frac{N}{n p}) \cdot {(R)}^{\frac{1}{6}}}}

Go Area of Cross-section for Full Flow given Discharge Ratio

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

How to Evaluate Area of Cross-Section for Partial Flow given Discharge Ratio?

Area of Cross-Section for Partial Flow given Discharge Ratio evaluator uses Area of Partially Full Sewers = Area of Running Full Sewers*(Discharge Ratio/((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(1/6))) to evaluate the Area of Partially Full Sewers, The Area of Cross-Section for Partial Flow given Discharge Ratio is defined as the cross-sectional area occupied by the flow, depending on the depth of water in the sewer. Area of Partially Full Sewers is denoted by a symbol.

How to evaluate Area of Cross-Section for Partial Flow given Discharge Ratio using this online evaluator? To use this online evaluator for Area of Cross-Section for Partial Flow given Discharge Ratio, enter Area of Running Full Sewers (A), Discharge Ratio (qsQ_ratio), Roughness Coefficient for Running Full (N), Roughness Coefficient Partially Full (n_p), Hydraulic Mean Depth for Partially Full (r_pf) & Hydraulic Mean Depth while Running Full (R_rf) and hit the calculate button.

FAQs on Area of Cross-Section for Partial Flow given Discharge Ratio

What is the formula to find Area of Cross-Section for Partial Flow given Discharge Ratio?

The formula of Area of Cross-Section for Partial Flow given Discharge Ratio is expressed as Area of Partially Full Sewers = Area of Running Full Sewers*(Discharge Ratio/((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(1/6))). Here is an example- 2.104679 = area_while_running_full*(0.532/((0.74/0.9)*(3.2/5.2)^(1/6))).

How to calculate Area of Cross-Section for Partial Flow given Discharge Ratio?

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

What are the other ways to Calculate Area of Partially Full Sewers?

Here are the different ways to Calculate Area of Partially Full Sewers-

Area of Partially Full Sewers=Area of Running Full Sewers*((Discharge when Pipe is Running Partially Full/Discharge when Pipe is Running Full)/((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Hydraulic Mean Depth Ratio)^(1/6)))
Area of Partially Full Sewers=Area of Running Full Sewers*(Discharge Ratio/((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Hydraulic Mean Depth Ratio)^(1/6)))

Can the Area of Cross-Section for Partial Flow given Discharge Ratio be negative?

No, the Area of Cross-Section for Partial Flow given Discharge Ratio, measured in Area cannot be negative.

Which unit is used to measure Area of Cross-Section for Partial Flow given Discharge Ratio?

Area of Cross-Section for Partial Flow given Discharge Ratio is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Cross-Section for Partial Flow given Discharge Ratio can be measured.

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Area of Cross-Section for Partial Flow given Discharge Ratio Formula

​GoArea of Cross-Section for Partial Flow given Hydraulic Mean Depth Ratio Formula

​GoArea of Cross-section for Partial Flow given Hydraulic Mean Depth and Discharge Ratio Formula

Area of Cross-Section for Partial Flow given Discharge Ratio Example

Area of Cross-Section for Partial Flow given Discharge Ratio Solution

Area of Cross-Section for Partial Flow given Discharge Ratio Formula Elements

Other Formulas to find Area of Partially Full Sewers

Other formulas in Area of Cross Section of Circular Sewer category

How to Evaluate Area of Cross-Section for Partial Flow given Discharge Ratio?

FAQs on Area of Cross-Section for Partial Flow given Discharge Ratio

Variable Name

GoArea of Cross-Section for Partial Flow given Hydraulic Mean Depth Ratio Formula

GoArea of Cross-section for Partial Flow given Hydraulic Mean Depth and Discharge Ratio Formula