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

GoArea of Cross-Section for Partial Flow given Discharge 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{\frac{q}{Q}}{(\frac{N}{n p}) \cdot {(R)}^{\frac{1}{6}}})

a - Area of Partially Full Sewers?A - Area of Running Full Sewers?q - Discharge when Pipe is Running Partially Full?Q - Discharge when Pipe is Running Full?N - Roughness Coefficient for Running Full?n_p - Roughness Coefficient Partially Full?R - Hydraulic Mean Depth Ratio?

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

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

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

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

3.8357 = 5.4 \cdot (\frac{\frac{17.48}{32.5}}{(\frac{0.74}{0.9}) \cdot {(0.61)}^{\frac{1}{6}}})

3.8357m² = 5.4m² \cdot (\frac{\frac{17.48m³/s}{32.5m³/s}}{(\frac{0.74}{0.9}) \cdot {(0.61)}^{\frac{1}{6}}})

3.8357 = 5.4 \cdot (\frac{\frac{17.48}{32.5}}{(\frac{0.74}{0.9}) \cdot {(0.61)}^{\frac{1}{6}}})

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

a = 5.4m² \cdot (\frac{\frac{17.48m³/s}{32.5m³/s}}{(\frac{0.74}{0.9}) \cdot {(0.61)}^{\frac{1}{6}}})

Next Step Prepare to Evaluate

∴

a = 5.4 \cdot (\frac{\frac{17.48}{32.5}}{(\frac{0.74}{0.9}) \cdot {(0.61)}^{\frac{1}{6}}})

Next Step Evaluate

∴

a = 3.8356677203907m²

LAST Step Rounding Answer

∴

a = 3.8357m²

Area of Cross-Section for Partial Flow given Hydraulic Mean Depth 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 when Pipe is Running Partially Full

Discharge when Pipe is Running Partially Full means water is flowing partially form the pipe.

Symbol: q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge when Pipe is Running Partially Full

Discharge when Pipe is Running Full

Discharge when Pipe is Running Full means water is flowing through the whole cross-section of pipe.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge when Pipe is Running Full

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 Ratio

The Hydraulic Mean Depth Ratio refers to the ratio of the hydraulic mean depth for a partially full pipe to that when it's running full.

Symbol: R

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Hydraulic Mean Depth Ratio

Other Formulas to find Area of Partially Full Sewers

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}}})

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 Hydraulic Mean Depth Ratio?

Area of Cross-Section for Partial Flow given Hydraulic Mean Depth Ratio evaluator uses 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))) to evaluate the Area of Partially Full Sewers, The Area of Cross-Section for Partial Flow given Hydraulic Mean Depth 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 Hydraulic Mean Depth Ratio using this online evaluator? To use this online evaluator for Area of Cross-Section for Partial Flow given Hydraulic Mean Depth Ratio, enter Area of Running Full Sewers (A), Discharge when Pipe is Running Partially Full (q), Discharge when Pipe is Running Full (Q), Roughness Coefficient for Running Full (N), Roughness Coefficient Partially Full (n_p) & Hydraulic Mean Depth Ratio (R) and hit the calculate button.

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

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

The formula of Area of Cross-Section for Partial Flow given Hydraulic Mean Depth Ratio is expressed as 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))). Here is an example- 6.14409 = 5.4*((17.48/32.5)/((0.74/0.9)*(0.61)^(1/6))).

How to calculate Area of Cross-Section for Partial Flow given Hydraulic Mean Depth Ratio?

With Area of Running Full Sewers (A), Discharge when Pipe is Running Partially Full (q), Discharge when Pipe is Running Full (Q), Roughness Coefficient for Running Full (N), Roughness Coefficient Partially Full (n_p) & Hydraulic Mean Depth Ratio (R) we can find Area of Cross-Section for Partial Flow given Hydraulic Mean Depth Ratio using the formula - 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))).

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 Ratio/((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(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 Hydraulic Mean Depth Ratio be negative?

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

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

Area of Cross-Section for Partial Flow given Hydraulic Mean Depth 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 Hydraulic Mean Depth Ratio can be measured.

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

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

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

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

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

Variable Name

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

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