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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. Check FAQs
R=(qsQratio(Nnp)(aA))6
R - Hydraulic Mean Depth Ratio?qsQratio - Discharge Ratio?N - Roughness Coefficient for Running Full?np - Roughness Coefficient Partially Full?a - Area of Partially Full Sewers?A - Area of Running Full Sewers?

Hydraulic Mean Depth Ratio given Discharge Ratio Example

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

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

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

0.6042Edit=(0.532Edit(0.74Edit0.9Edit)(3.8Edit5.4Edit))6
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Hydraulic Mean Depth Ratio given Discharge Ratio Solution

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

FIRST Step Consider the formula
R=(qsQratio(Nnp)(aA))6
Next Step Substitute values of Variables
R=(0.532(0.740.9)(3.85.4))6
Next Step Prepare to Evaluate
R=(0.532(0.740.9)(3.85.4))6
Next Step Evaluate
R=0.604220576967767
LAST Step Rounding Answer
R=0.6042

Hydraulic Mean Depth Ratio given Discharge Ratio Formula Elements

Variables
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.
Discharge Ratio
Discharge Ratio is the ratio of discharge at partial flow to discharge at full flow.
Symbol: qsQratio
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: np
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:
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:
Note: Value should be greater than 0.

Other Formulas to find Hydraulic Mean Depth Ratio

​Go Hydraulic Mean Depth Ratio given Velocity Ratio
R=(νsVratioNnp)6
​Go Hydraulic Mean Depth Ratio given Self Cleansing Discharge
R=(qQ(Nnp)(aA))6

How to Evaluate Hydraulic Mean Depth Ratio given Discharge Ratio?

Hydraulic Mean Depth Ratio given Discharge Ratio evaluator uses Hydraulic Mean Depth Ratio = (Discharge Ratio/((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Area of Partially Full Sewers/Area of Running Full Sewers)))^6 to evaluate the Hydraulic Mean Depth Ratio, Hydraulic Mean Depth Ratio given Discharge Ratio is defined as the ratio of the hydraulic mean depth for a partially full pipe to that when it's running full. Hydraulic Mean Depth Ratio is denoted by R symbol.

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

FAQs on Hydraulic Mean Depth Ratio given Discharge Ratio

What is the formula to find Hydraulic Mean Depth Ratio given Discharge Ratio?
The formula of Hydraulic Mean Depth Ratio given Discharge Ratio is expressed as Hydraulic Mean Depth Ratio = (Discharge Ratio/((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Area of Partially Full Sewers/Area of Running Full Sewers)))^6. Here is an example- 0.017765 = (0.532/((0.74/0.9)*(3.8/area_while_running_full)))^6.
How to calculate Hydraulic Mean Depth Ratio given Discharge Ratio?
With Discharge Ratio (qsQratio), Roughness Coefficient for Running Full (N), Roughness Coefficient Partially Full (np), Area of Partially Full Sewers (a) & Area of Running Full Sewers (A) we can find Hydraulic Mean Depth Ratio given Discharge Ratio using the formula - Hydraulic Mean Depth Ratio = (Discharge Ratio/((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Area of Partially Full Sewers/Area of Running Full Sewers)))^6.
What are the other ways to Calculate Hydraulic Mean Depth Ratio?
Here are the different ways to Calculate Hydraulic Mean Depth Ratio-
  • Hydraulic Mean Depth Ratio=(Velocity Ratio/(Roughness Coefficient for Running Full/Roughness Coefficient Partially Full))^6OpenImg
  • Hydraulic Mean Depth Ratio=((Discharge when Pipe is Running Partially Full/Discharge when Pipe is Running Full)/((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Area of Partially Full Sewers/Area of Running Full Sewers)))^6OpenImg
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