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Discharge of Full Flow given Hydraulic Mean Depth Ratio Formula

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GoDischarge of Full Flow given Hydraulic Mean Depth for Partial flow Formula

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

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

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

Discharge of Full Flow given Hydraulic Mean Depth Ratio Example

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Here is how the Discharge of Full Flow given Hydraulic Mean Depth Ratio equation looks like with Values.

Here is how the Discharge of Full Flow given Hydraulic Mean Depth Ratio equation looks like with Units.

Here is how the Discharge of Full Flow given Hydraulic Mean Depth Ratio equation looks like.

32.8051 = \frac{17.48}{(\frac{0.74}{0.9}) \cdot (\frac{3.8}{5.4}) \cdot {(0.61)}^{\frac{1}{6}}}

32.8051m³/s = \frac{17.48m³/s}{(\frac{0.74}{0.9}) \cdot (\frac{3.8m²}{5.4m²}) \cdot {(0.61)}^{\frac{1}{6}}}

32.8051 = \frac{17.48}{(\frac{0.74}{0.9}) \cdot (\frac{3.8}{5.4}) \cdot {(0.61)}^{\frac{1}{6}}}

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Discharge of Full Flow given Hydraulic Mean Depth Ratio Solution

Follow our step by step solution on how to calculate Discharge of Full Flow given Hydraulic Mean Depth Ratio?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q = \frac{17.48m³/s}{(\frac{0.74}{0.9}) \cdot (\frac{3.8m²}{5.4m²}) \cdot {(0.61)}^{\frac{1}{6}}}

Next Step Prepare to Evaluate

∴

Q = \frac{17.48}{(\frac{0.74}{0.9}) \cdot (\frac{3.8}{5.4}) \cdot {(0.61)}^{\frac{1}{6}}}

Next Step Evaluate

∴

Q = 32.8050528717626m³/s

LAST Step Rounding Answer

∴

Q = 32.8051m³/s

Discharge of Full Flow given Hydraulic Mean Depth Ratio Formula Elements

Variables

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.

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.

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.

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.

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.

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.

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 Discharge when Pipe is Running Full

Go Discharge of Full Flow given Hydraulic Mean Depth for Partial flow

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

Other formulas in Discharge and Discharge Ratio through Circular Sewer category

Go Discharge Ratio given Hydraulic Mean Depth for Full Flow

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

Go Self Cleansing Discharge given Hydraulic Mean Depth Ratio

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

How to Evaluate Discharge of Full Flow given Hydraulic Mean Depth Ratio?

Discharge of Full Flow given Hydraulic Mean Depth Ratio evaluator uses Discharge when Pipe is Running Full = Discharge when Pipe is Running Partially Full/((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Area of Partially Full Sewers/Area of Running Full Sewers)*(Hydraulic Mean Depth Ratio)^(1/6)) to evaluate the Discharge when Pipe is Running Full, Discharge of Full Flow given Hydraulic Mean Depth Ratio is defined as the volume of fluid passing through a completely filled pipe per unit time, depending on velocity and area. Discharge when Pipe is Running Full is denoted by Q symbol.

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

FAQs on Discharge of Full Flow given Hydraulic Mean Depth Ratio

What is the formula to find Discharge of Full Flow given Hydraulic Mean Depth Ratio?

The formula of Discharge of Full Flow given Hydraulic Mean Depth Ratio is expressed as Discharge when Pipe is Running Full = Discharge when Pipe is Running Partially Full/((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Area of Partially Full Sewers/Area of Running Full Sewers)*(Hydraulic Mean Depth Ratio)^(1/6)). Here is an example- 52.54814 = 17.48/((0.74/0.9)*(3.8/5.4)*(0.61)^(1/6)).

How to calculate Discharge of Full Flow given Hydraulic Mean Depth Ratio?

With Discharge when Pipe is Running Partially Full (q), Roughness Coefficient for Running Full (N), Roughness Coefficient Partially Full (n_p), Area of Partially Full Sewers (a), Area of Running Full Sewers (A) & Hydraulic Mean Depth Ratio (R) we can find Discharge of Full Flow given Hydraulic Mean Depth Ratio using the formula - Discharge when Pipe is Running Full = Discharge when Pipe is Running Partially Full/((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Area of Partially Full Sewers/Area of Running Full Sewers)*(Hydraulic Mean Depth Ratio)^(1/6)).

What are the other ways to Calculate Discharge when Pipe is Running Full?

Here are the different ways to Calculate Discharge when Pipe is Running Full-

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

Can the Discharge of Full Flow given Hydraulic Mean Depth Ratio be negative?

No, the Discharge of Full Flow given Hydraulic Mean Depth Ratio, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Discharge of Full Flow given Hydraulic Mean Depth Ratio?

Discharge of Full Flow given Hydraulic Mean Depth Ratio is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Discharge of Full Flow given Hydraulic Mean Depth Ratio can be measured.

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