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

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

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

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

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

A - Area of Running Full Sewers?a - Area of Partially 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 Full Flow given Discharge Ratio Example

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

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

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

5.4165 = \frac{3.8}{\frac{0.532}{(\frac{0.74}{0.9}) \cdot {(\frac{3.2}{5.2})}^{\frac{1}{6}}}}

5.4165m² = \frac{3.8m²}{\frac{0.532}{(\frac{0.74}{0.9}) \cdot {(\frac{3.2m}{5.2m})}^{\frac{1}{6}}}}

5.4165 = \frac{3.8}{\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 Full Flow given Discharge Ratio Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = \frac{3.8m²}{\frac{0.532}{(\frac{0.74}{0.9}) \cdot {(\frac{3.2m}{5.2m})}^{\frac{1}{6}}}}

Next Step Prepare to Evaluate

∴

A = \frac{3.8}{\frac{0.532}{(\frac{0.74}{0.9}) \cdot {(\frac{3.2}{5.2})}^{\frac{1}{6}}}}

Next Step Evaluate

∴

A = 5.41650248913312m²

LAST Step Rounding Answer

∴

A = 5.4165m²

Area of Cross-section for Full Flow given Discharge Ratio Formula Elements

Variables

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.

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.

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.

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.

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.

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.

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.

Credits

Creator Image

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Formula and 2100+ more formulas!

Verifier Image

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Formula and 2600+ more formulas!

Other Formulas to find Area of Running Full Sewers

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 Hydraulic Mean Depth and Discharge Ratio

A = \frac{a}{\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 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 Discharge Ratio

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

How to Evaluate Area of Cross-section for Full Flow given Discharge Ratio?

Area of Cross-section for Full Flow given Discharge Ratio evaluator uses Area of Running Full Sewers = Area of Partially 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 Running Full Sewers, The Area of Cross-section for Full Flow given Discharge Ratio is defined as the total cross-sectional area of the pipe when it is completely filled with fluid. Area of Running Full Sewers is denoted by A symbol.

How to evaluate Area of Cross-section for Full Flow given Discharge Ratio using this online evaluator? To use this online evaluator for Area of Cross-section for Full Flow given Discharge Ratio, enter Area of Partially 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 Full Flow given Discharge Ratio

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

The formula of Area of Cross-section for Full Flow given Discharge Ratio is expressed as Area of Running Full Sewers = Area of Partially 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- 5.416502 = 3.8/(0.532/((0.74/0.9)*(3.2/5.2)^(1/6))).

How to calculate Area of Cross-section for Full Flow given Discharge Ratio?

With Area of Partially 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 Full Flow given Discharge Ratio using the formula - Area of Running Full Sewers = Area of Partially 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 Running Full Sewers?

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

Area of Running Full Sewers=Area of Partially 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 Running Full Sewers=Area of Partially 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 Full Flow given Discharge Ratio be negative?

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

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

Area of Cross-section for Full 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 Full Flow given Discharge Ratio can be measured.

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