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Proportionate Velocity given Roughness Coefficient Calculator

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Circular Sewer Section Running Full Circular Sewer Section Running Partially Full

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✖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%
✖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%

✖Proportionate Velocity is ratio of velocity when water is partially full to velocity when water is totally full.ⓘ Proportionate Velocity given Roughness Coefficient [P_v]

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Formula

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Proportionate Velocity given Roughness Coefficient

Formula

P v = (\frac{N}{n p}) \cdot {(\frac{r pf}{r pf})}^{\frac{2}{3}}

Example

0.822222 = (\frac{0.74}{0.9}) \cdot {(\frac{3.2 m}{3.2 m})}^{\frac{2}{3}}

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Proportionate Velocity given Roughness Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
P_v = (N/n_p)*(r_pf/r_pf)^(2/3)
This formula uses 4 Variables

Variables Used

Proportionate Velocity - Proportionate Velocity is ratio of velocity when water is partially full to velocity when water is totally full.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Roughness Coefficient for Running Full: 0.74 --> No Conversion Required
Roughness Coefficient Partially Full: 0.9 --> No Conversion Required
Hydraulic Mean Depth for Partially Full: 3.2 Meter --> 3.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_v = (N/n_p)*(r_pf/r_pf)^(2/3) --> (0.74/0.9)*(3.2/3.2)^(2/3)

Evaluating ... ...

P_v = 0.822222222222222

STEP 3: Convert Result to Output's Unit

0.822222222222222 --> No Conversion Required

FINAL ANSWER

0.822222222222222 ≈ 0.822222 <-- Proportionate Velocity

(Calculation completed in 00.004 seconds)

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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 in a Partially Running Sewer/Velocity While Running Full

Proportionate Velocity given Roughness Coefficient Formula

What is hydraulic mean 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 given Roughness Coefficient?

Proportionate Velocity given Roughness Coefficient calculator uses 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) to calculate the Proportionate Velocity, The Proportionate Velocity given Roughness Coefficient calculates the proportionate velocity when we have prior information of other parameters used. Proportionate Velocity is denoted by P_v symbol.

How to calculate Proportionate Velocity given Roughness Coefficient using this online calculator? To use this online calculator for Proportionate Velocity given Roughness Coefficient, enter Roughness Coefficient for Running Full (N), Roughness Coefficient Partially Full (n_p) & Hydraulic Mean Depth for Partially Full (r_pf) and hit the calculate button. Here is how the Proportionate Velocity given Roughness Coefficient calculation can be explained with given input values -> 0.822222 = (0.74/0.9)*(3.2/3.2)^(2/3).

FAQ

What is Proportionate Velocity given Roughness Coefficient?

The Proportionate Velocity given Roughness Coefficient calculates the proportionate velocity when we have prior information of other parameters used and is represented as P_v = (N/n_p)*(r_pf/r_pf)^(2/3) or 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). 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 & Hydraulic Mean Depth for Partially Full refers to the cross-sectional area of flow divided by the wetted perimeter, adapting to varying water levels.

How to calculate Proportionate Velocity given Roughness Coefficient?

The Proportionate Velocity given Roughness Coefficient calculates the proportionate velocity when we have prior information of other parameters used is calculated using 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). To calculate Proportionate Velocity given Roughness Coefficient, you need Roughness Coefficient for Running Full (N), Roughness Coefficient Partially Full (n_p) & Hydraulic Mean Depth for Partially Full (r_pf). With our tool, you need to enter the respective value for Roughness Coefficient for Running Full, Roughness Coefficient Partially Full & Hydraulic Mean Depth for 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 Proportionate Velocity?

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

Proportionate Velocity = (1-((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle))^(2/3)
Proportionate Velocity = (Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)
Proportionate Velocity = Velocity in a Partially Running Sewer/Velocity While Running Full

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