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Hydraulic Mean Depth Ratio given Self Cleansing Discharge Calculator

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Hydraulic Mean Depth Ratio Hydraulic Mean Depth for Full Flow Hydraulic Mean Depth for Partial Flow

✖Discharge when Pipe is Running Partially Full means water is flowing partially form the pipe.ⓘ Discharge when Pipe is Running Partially Full [q]			+10% -10%
✖Discharge when Pipe is Running Full means water is flowing through the whole cross-section of pipe.ⓘ Discharge when Pipe is Running Full [Q]			+10% -10%
✖The Roughness Coefficient for Running Full accounts for uniform surface resistance affecting flow velocity and friction loss.ⓘ Roughness Coefficient for Running Full [N]			+10% -10%
✖Roughness Coefficient Partially Full means roughness coefficient of pipe while running partially full.ⓘ Roughness Coefficient Partially Full [n_p]			+10% -10%
✖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.ⓘ Area of Partially Full Sewers [a]			+10% -10%
✖The Area of Running Full Sewers refers to the total cross-sectional area of the pipe when it is completely filled with fluid.ⓘ Area of Running Full Sewers [A]			+10% -10%

✖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.ⓘ Hydraulic Mean Depth Ratio given Self Cleansing Discharge [R]

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Formula

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Hydraulic Mean Depth Ratio given Self Cleansing Discharge

Formula

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

Example

0.6064 = {(\frac{\frac{28 m³/s}{52.6 m³/s}}{(\frac{0.74}{0.9}) \cdot (\frac{3.8 m²}{5.4 m²})})}^{6}

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Hydraulic Mean Depth Ratio given Self Cleansing Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))^6
R = ((q/Q)/((N/n_p)*(a/A)))^6
This formula uses 7 Variables

Variables Used

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.
Discharge when Pipe is Running Partially Full - (Measured in Cubic Meter per Second) - Discharge when Pipe is Running Partially Full means water is flowing partially form the pipe.
Discharge when Pipe is Running Full - (Measured in Cubic Meter per Second) - Discharge when Pipe is Running Full means water is flowing through the whole cross-section of pipe.
Roughness Coefficient for Running Full - The Roughness Coefficient for Running Full accounts for uniform surface resistance affecting flow velocity and friction loss.
Roughness Coefficient Partially Full - Roughness Coefficient Partially Full means roughness coefficient of pipe while running partially full.
Area of Partially Full Sewers - (Measured in Square Meter) - 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.
Area of Running Full Sewers - (Measured in Square Meter) - The Area of Running Full Sewers refers to the total cross-sectional area of the pipe when it is completely filled with fluid.

STEP 1: Convert Input(s) to Base Unit

Discharge when Pipe is Running Partially Full: 28 Cubic Meter per Second --> 28 Cubic Meter per Second No Conversion Required
Discharge when Pipe is Running Full: 52.6 Cubic Meter per Second --> 52.6 Cubic Meter per Second No Conversion Required
Roughness Coefficient for Running Full: 0.74 --> No Conversion Required
Roughness Coefficient Partially Full: 0.9 --> No Conversion Required
Area of Partially Full Sewers: 3.8 Square Meter --> 3.8 Square Meter No Conversion Required
Area of Running Full Sewers: 5.4 Square Meter --> 5.4 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = ((q/Q)/((N/n_p)*(a/A)))^6 --> ((28/52.6)/((0.74/0.9)*(3.8/5.4)))^6

Evaluating ... ...

R = 0.606400346270944

STEP 3: Convert Result to Output's Unit

0.606400346270944 --> No Conversion Required

FINAL ANSWER

0.606400346270944 ≈ 0.6064 <-- Hydraulic Mean Depth Ratio

(Calculation completed in 00.004 seconds)

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< Hydraulic Mean Depth Ratio Calculators

Hydraulic Mean Depth Ratio given Self Cleansing Discharge

Go 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)))^6

Hydraulic Mean Depth Ratio given Discharge Ratio

Go 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

Hydraulic Mean Depth Ratio given Velocity Ratio

Go Hydraulic Mean Depth Ratio = (Velocity Ratio/(Roughness Coefficient for Running Full/Roughness Coefficient Partially Full))^6

Hydraulic Mean Depth Ratio given Self Cleansing Discharge Formula

What is hydraulic depth ?

Hydraulic mean depth, or hydraulic radius, is the ratio of the cross-sectional area of fluid flow to the wetted perimeter in a channel or pipe. It's a key parameter in fluid dynamics, used to determine flow characteristics like velocity and discharge. In open channel flow, it influences resistance, energy loss, and overall efficiency, making it vital for designing and analyzing water conveyance systems.

How to Calculate Hydraulic Mean Depth Ratio given Self Cleansing Discharge?

Hydraulic Mean Depth Ratio given Self Cleansing Discharge calculator uses 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)))^6 to calculate the Hydraulic Mean Depth Ratio, Hydraulic Mean Depth Ratio given Self Cleansing Discharge 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 calculate Hydraulic Mean Depth Ratio given Self Cleansing Discharge using this online calculator? To use this online calculator for Hydraulic Mean Depth Ratio given Self Cleansing Discharge, enter 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), Area of Partially Full Sewers (a) & Area of Running Full Sewers (A) and hit the calculate button. Here is how the Hydraulic Mean Depth Ratio given Self Cleansing Discharge calculation can be explained with given input values -> 9.2E-7 = ((discharge_partially_full/52.6)/((0.74/0.9)*(3.8/5.4)))^6.

FAQ

What is Hydraulic Mean Depth Ratio given Self Cleansing Discharge?

Hydraulic Mean Depth Ratio given Self Cleansing Discharge is defined as the ratio of the hydraulic mean depth for a partially full pipe to that when it's running full and is represented as R = ((q/Q)/((N/n_p)*(a/A)))^6 or 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)))^6. Discharge when Pipe is Running Partially Full means water is flowing partially form the pipe, Discharge when Pipe is Running Full means water is flowing through the whole cross-section of pipe, The Roughness Coefficient for Running Full accounts for uniform surface resistance affecting flow velocity and friction loss, Roughness Coefficient Partially Full means roughness coefficient of pipe while running partially full, 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 & The Area of Running Full Sewers refers to the total cross-sectional area of the pipe when it is completely filled with fluid.

How to calculate Hydraulic Mean Depth Ratio given Self Cleansing Discharge?

Hydraulic Mean Depth Ratio given Self Cleansing Discharge is defined as the ratio of the hydraulic mean depth for a partially full pipe to that when it's running full is calculated using 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)))^6. To calculate Hydraulic Mean Depth Ratio given Self Cleansing Discharge, you need 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), Area of Partially Full Sewers (a) & Area of Running Full Sewers (A). With our tool, you need to enter the respective value for 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 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Hydraulic Mean Depth Ratio?

In this formula, Hydraulic Mean Depth Ratio uses 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. We can use 2 other way(s) to calculate the same, which is/are as follows -

Hydraulic Mean Depth Ratio = (Velocity Ratio/(Roughness Coefficient for Running Full/Roughness Coefficient Partially Full))^6
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

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