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Discharge Ratio given Hydraulic Mean Depth Ratio Formula

GoDischarge Ratio given Hydraulic Mean Depth for Full Flow Formula

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

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

qsQ_ratio - Discharge Ratio?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 Ratio given Hydraulic Mean Depth Ratio Example

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

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

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

0.5328 = (\frac{0.74}{0.9}) \cdot (\frac{3.8}{5.4}) \cdot {(0.61)}^{\frac{1}{6}}

0.5328 = (\frac{0.74}{0.9}) \cdot (\frac{3.8m²}{5.4m²}) \cdot {(0.61)}^{\frac{1}{6}}

0.5328 = (\frac{0.74}{0.9}) \cdot (\frac{3.8}{5.4}) \cdot {(0.61)}^{\frac{1}{6}}

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Discharge Ratio given Hydraulic Mean Depth Ratio Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

qsQ ratio = (\frac{0.74}{0.9}) \cdot (\frac{3.8m²}{5.4m²}) \cdot {(0.61)}^{\frac{1}{6}}

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

qsQ ratio = 0.532844744019485

LAST Step Rounding Answer

∴

qsQ ratio = 0.5328

Discharge Ratio given Hydraulic Mean Depth Ratio Formula Elements

Variables

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

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 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 Discharge Ratio

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}}

Other formulas in Discharge and Discharge Ratio through Circular Sewer category

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}})

Go Self Cleansing Discharge given Hydraulic Mean Depth for Full Flow

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

Go Discharge of Full Flow given Hydraulic Mean Depth Ratio

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

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}}}

How to Evaluate Discharge Ratio given Hydraulic Mean Depth Ratio?

Discharge Ratio given Hydraulic Mean Depth Ratio evaluator uses Discharge Ratio = (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 Ratio, Discharge Ratio given Hydraulic Mean Depth Ratio is defined as the flow rate of a pipe when it's partially full to when it's completely full, indicating efficiency. Discharge Ratio is denoted by qsQ_ratio symbol.

How to evaluate Discharge Ratio given Hydraulic Mean Depth Ratio using this online evaluator? To use this online evaluator for Discharge Ratio given Hydraulic Mean Depth Ratio, enter 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 Ratio given Hydraulic Mean Depth Ratio

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

The formula of Discharge Ratio given Hydraulic Mean Depth Ratio is expressed as Discharge Ratio = (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- 0.959121 = (0.74/0.9)*(3.8/area_while_running_full)*(0.61)^(1/6).

How to calculate Discharge Ratio given Hydraulic Mean Depth Ratio?

With 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 Ratio given Hydraulic Mean Depth Ratio using the formula - Discharge Ratio = (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 Ratio?

Here are the different ways to Calculate Discharge Ratio-

Discharge Ratio=(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)

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Discharge Ratio given Hydraulic Mean Depth Ratio Formula

​GoDischarge Ratio given Hydraulic Mean Depth for Full Flow Formula

Discharge Ratio given Hydraulic Mean Depth Ratio Example

Discharge Ratio given Hydraulic Mean Depth Ratio Solution

Discharge Ratio given Hydraulic Mean Depth Ratio Formula Elements

Other Formulas to find Discharge Ratio

Other formulas in Discharge and Discharge Ratio through Circular Sewer category

How to Evaluate Discharge Ratio given Hydraulic Mean Depth Ratio?

FAQs on Discharge Ratio given Hydraulic Mean Depth Ratio

Variable Name

GoDischarge Ratio given Hydraulic Mean Depth for Full Flow Formula