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Proportionate Velocity when Roughness Coefficient does not Vary with Depth Calculator

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✖Hydraulic Mean Depth for Partially Full refers to the cross-sectional area of flow divided by the wetted perimeter, adapting to varying water levels.ⓘ Hydraulic Mean Depth for Partially Full [r_pf]			+10% -10%
✖Hydraulic Mean Depth while Running Full refers to the ratio of the pipe's full cross-sectional area to its full wetted perimeter.ⓘ Hydraulic Mean Depth while Running Full [R_rf]			+10% -10%

✖Proportionate velocity is ratio of velocity when water is partially full to velocity when water is totally full.ⓘ Proportionate Velocity when Roughness Coefficient does not Vary with Depth [P_v]

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Formula

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Proportionate Velocity when Roughness Coefficient does not Vary with Depth

Formula

P v = {(\frac{r pf}{R rf})}^{\frac{2}{3}}

Example

0.723488 = {(\frac{3.2 m}{5.2 m})}^{\frac{2}{3}}

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Proportionate Velocity when Roughness Coefficient does not Vary with Depth Solution

STEP 0: Pre-Calculation Summary

Formula Used

Proportionate velocity = (Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)
P_v = (r_pf/R_rf)^(2/3)
This formula uses 3 Variables

Variables Used

Proportionate velocity - Proportionate velocity is ratio of velocity when water is partially full to velocity when water is totally full.
Hydraulic Mean Depth for Partially Full - (Measured in Meter) - Hydraulic Mean Depth for Partially Full refers to the cross-sectional area of flow divided by the wetted perimeter, adapting to varying water levels.
Hydraulic Mean Depth while Running Full - (Measured in Meter) - Hydraulic Mean Depth while Running Full refers to the ratio of the pipe's full cross-sectional area to its full wetted perimeter.

STEP 1: Convert Input(s) to Base Unit

Hydraulic Mean Depth for Partially Full: 3.2 Meter --> 3.2 Meter No Conversion Required
Hydraulic Mean Depth while Running Full: 5.2 Meter --> 5.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_v = (r_pf/R_rf)^(2/3) --> (3.2/5.2)^(2/3)

Evaluating ... ...

P_v = 0.723487596221772

STEP 3: Convert Result to Output's Unit

0.723487596221772 --> No Conversion Required

FINAL ANSWER

0.723487596221772 ≈ 0.723488 <-- Proportionate velocity

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Hydraulic Designs of Sewers and S. W. Drain Sections » Hydraulic Characteristics of Circular Sewers Sections » Circular Sewer Section Running Full » Proportionate Velocity » Proportionate Velocity when Roughness Coefficient does not Vary with Depth

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Birsa Institute of Technology (BIT), Sindri

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< Proportionate Velocity Calculators

Proportionate Velocity given Roughness Coefficient

Go Proportionate velocity = (Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth for Partially Full)^(2/3)

Proportionate Velocity given Central Angle

Go Proportionate velocity = (1-((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle))^(2/3)

Proportionate Velocity when Roughness Coefficient does not Vary with Depth

Go Proportionate velocity = (Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)

Proportionate Velocity given Velocity while Running Partially Full

Go Proportionate velocity = Velocity while running partially full/Velocity While Running Full

Proportionate Velocity when Roughness Coefficient does not Vary with Depth Formula

Proportionate velocity = (Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)
P_v = (r_pf/R_rf)^(2/3)

What is hydraulic depth ?

Hydraulic depth, abbreviated as dh, also called hydraulic mean depth, is the area cross-section of water in a pipe or channel divided by the wetting perimeter.

How to Calculate Proportionate Velocity when Roughness Coefficient does not Vary with Depth?

Proportionate Velocity when Roughness Coefficient does not Vary with Depth calculator uses Proportionate velocity = (Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3) to calculate the Proportionate velocity, The Proportionate Velocity when Roughness Coefficient does not Vary with Depth calculates the proportionate velocity when we have prior information of other parameters. Proportionate velocity is denoted by P_v symbol.

How to calculate Proportionate Velocity when Roughness Coefficient does not Vary with Depth using this online calculator? To use this online calculator for Proportionate Velocity when Roughness Coefficient does not Vary with Depth, enter Hydraulic Mean Depth for Partially Full (r_pf) & Hydraulic Mean Depth while Running Full (R_rf) and hit the calculate button. Here is how the Proportionate Velocity when Roughness Coefficient does not Vary with Depth calculation can be explained with given input values -> 0.742654 = (3.2/hmd_full)^(2/3).

FAQ

What is Proportionate Velocity when Roughness Coefficient does not Vary with Depth?

The Proportionate Velocity when Roughness Coefficient does not Vary with Depth calculates the proportionate velocity when we have prior information of other parameters and is represented as P_v = (r_pf/R_rf)^(2/3) or Proportionate velocity = (Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3). Hydraulic Mean Depth for Partially Full refers to the cross-sectional area of flow divided by the wetted perimeter, adapting to varying water levels & Hydraulic Mean Depth while Running Full refers to the ratio of the pipe's full cross-sectional area to its full wetted perimeter.

How to calculate Proportionate Velocity when Roughness Coefficient does not Vary with Depth?

The Proportionate Velocity when Roughness Coefficient does not Vary with Depth calculates the proportionate velocity when we have prior information of other parameters is calculated using Proportionate velocity = (Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3). To calculate Proportionate Velocity when Roughness Coefficient does not Vary with Depth, you need Hydraulic Mean Depth for Partially Full (r_pf) & Hydraulic Mean Depth while Running Full (R_rf). With our tool, you need to enter the respective value for Hydraulic Mean Depth for Partially Full & Hydraulic Mean Depth while Running 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 Proportionate velocity?

In this formula, Proportionate velocity uses Hydraulic Mean Depth for Partially Full & Hydraulic Mean Depth while Running Full. We can use 3 other way(s) to calculate the same, which is/are as follows -

Proportionate velocity = (Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth for Partially Full)^(2/3)
Proportionate velocity = (1-((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle))^(2/3)
Proportionate velocity = Velocity while running partially full/Velocity While Running Full

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