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Hydraulic Mean Depth Ratio given Velocity Ratio Calculator

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

✖The Velocity Ratio compares the flow velocity in a partially full pipe to that in a fully running pipe.ⓘ Velocity Ratio [νsV_ratio]			+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 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 Velocity Ratio [R]

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Formula

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Hydraulic Mean Depth Ratio given Velocity Ratio

Formula

R = {(\frac{νsV ratio}{\frac{N}{n p}})}^{6}

Example

0.623658 = {(\frac{0.76}{\frac{0.74}{0.9}})}^{6}

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Hydraulic Mean Depth Ratio given Velocity Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hydraulic Mean Depth Ratio = (Velocity Ratio/(Roughness Coefficient for Running Full/Roughness Coefficient Partially Full))^6
R = (νsV_ratio/(N/n_p))^6
This formula uses 4 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.
Velocity Ratio - The Velocity Ratio compares the flow velocity in a partially full pipe to that in a fully running 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.

STEP 1: Convert Input(s) to Base Unit

Velocity Ratio: 0.76 --> No Conversion Required
Roughness Coefficient for Running Full: 0.74 --> No Conversion Required
Roughness Coefficient Partially Full: 0.9 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = (νsV_ratio/(N/n_p))^6 --> (0.76/(0.74/0.9))^6

Evaluating ... ...

R = 0.623657704592518

STEP 3: Convert Result to Output's Unit

0.623657704592518 --> No Conversion Required

FINAL ANSWER

0.623657704592518 ≈ 0.623658 <-- Hydraulic Mean Depth Ratio

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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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 Velocity Ratio Formula

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

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 Velocity Ratio?

Hydraulic Mean Depth Ratio given Velocity Ratio calculator uses Hydraulic Mean Depth Ratio = (Velocity Ratio/(Roughness Coefficient for Running Full/Roughness Coefficient Partially Full))^6 to calculate the Hydraulic Mean Depth Ratio, Hydraulic Mean Depth Ratio given Velocity 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 calculate Hydraulic Mean Depth Ratio given Velocity Ratio using this online calculator? To use this online calculator for Hydraulic Mean Depth Ratio given Velocity Ratio, enter Velocity Ratio (νsV_ratio), Roughness Coefficient for Running Full (N) & Roughness Coefficient Partially Full (n_p) and hit the calculate button. Here is how the Hydraulic Mean Depth Ratio given Velocity Ratio calculation can be explained with given input values -> 207.1308 = (velocity_ratio_/(0.74/0.9))^6.

FAQ

What is Hydraulic Mean Depth Ratio given Velocity Ratio?

Hydraulic Mean Depth Ratio given Velocity Ratio 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 = (νsV_ratio/(N/n_p))^6 or Hydraulic Mean Depth Ratio = (Velocity Ratio/(Roughness Coefficient for Running Full/Roughness Coefficient Partially Full))^6. The Velocity Ratio compares the flow velocity in a partially full pipe to that in a fully running 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.

How to calculate Hydraulic Mean Depth Ratio given Velocity Ratio?

Hydraulic Mean Depth Ratio given Velocity Ratio 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 = (Velocity Ratio/(Roughness Coefficient for Running Full/Roughness Coefficient Partially Full))^6. To calculate Hydraulic Mean Depth Ratio given Velocity Ratio, you need Velocity Ratio (νsV_ratio), Roughness Coefficient for Running Full (N) & Roughness Coefficient Partially Full (n_p). With our tool, you need to enter the respective value for Velocity Ratio, Roughness Coefficient for Running Full & Roughness Coefficient Partially Full 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 Velocity Ratio, Roughness Coefficient for Running Full & Roughness Coefficient Partially Full. We can use 2 other way(s) to calculate the same, which is/are as follows -

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 = ((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

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