Proportionate Velocity given Roughness Coefficient Calculator

✖Roughness coefficient full means roughness coefficient of pipe while running full.ⓘ Roughness coefficient full [N]			+10% -10%
✖Roughness coefficient partially full means roughness coefficient of pipe while running partially full.ⓘ Roughness coefficient partially full [n]			+10% -10%
✖Hydraulic mean depth while running partially full.ⓘ Hydraulic mean depth [r]			+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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Proportionate Velocity given Roughness Coefficient

Formula

`"P"_{"v"} = ("N"/"n")*("r"/"r")^(2/3)`

Example

`"1.077778"=("0.97"/"0.9")*("3m"/"3m")^(2/3)`

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Proportionate Velocity given Roughness Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Proportionate velocity = (Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth/Hydraulic mean depth)^(2/3)
P_v = (N/n)*(r/r)^(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 full - Roughness coefficient full means roughness coefficient of pipe while running full.
Roughness coefficient partially full - Roughness coefficient partially full means roughness coefficient of pipe while running partially full.
Hydraulic mean depth - (Measured in Meter) - Hydraulic mean depth while running partially full.

STEP 1: Convert Input(s) to Base Unit

Roughness coefficient full: 0.97 --> No Conversion Required
Roughness coefficient partially full: 0.9 --> No Conversion Required
Hydraulic mean depth: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_v = (N/n)*(r/r)^(2/3) --> (0.97/0.9)*(3/3)^(2/3)

Evaluating ... ...

P_v = 1.07777777777778

STEP 3: Convert Result to Output's Unit

1.07777777777778 --> No Conversion Required

FINAL ANSWER

1.07777777777778 ≈ 1.077778 <-- Proportionate velocity

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 7 Proportionate Velocity Calculators

Roughness Coefficient while Running Full given Proportionate Velocity

Go Roughness coefficient full = (Proportionate velocity*Roughness coefficient partially full)/(Hydraulic mean depth/Hydraulic mean depth while running full)^(2/3)

Proportionate Velocity given Roughness Coefficient

Go Proportionate velocity = (Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth/Hydraulic mean depth)^(2/3)

Proportionate Velocity given Central Angle

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

Hydraulic Mean Depth while Running Full given Proportionate Velocity

Go Hydraulic mean depth while running full = ((Hydraulic mean depth)^(2/3)/Proportionate velocity)^(3/2)

Proportionate Velocity when Roughness Coefficient does not Vary with Depth

Go Proportionate velocity = (Hydraulic mean depth/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

Velocity while Running Full given Proportionate Velocity

Go Velocity while running full = Velocity while running partially full/Proportionate velocity

Proportionate Velocity given Roughness Coefficient Formula

Proportionate velocity = (Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth/Hydraulic mean depth)^(2/3)
P_v = (N/n)*(r/r)^(2/3)

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 full/Roughness coefficient partially full)*(Hydraulic mean depth/Hydraulic mean depth)^(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 full (N), Roughness coefficient partially full (n) & Hydraulic mean depth (r) and hit the calculate button. Here is how the Proportionate Velocity given Roughness Coefficient calculation can be explained with given input values -> 1.077778 = (0.97/0.9)*(3/3)^(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)*(r/r)^(2/3) or Proportionate velocity = (Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth/Hydraulic mean depth)^(2/3). Roughness coefficient full means roughness coefficient of pipe while running full, Roughness coefficient partially full means roughness coefficient of pipe while running partially full & Hydraulic mean depth while running partially full.

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 full/Roughness coefficient partially full)*(Hydraulic mean depth/Hydraulic mean depth)^(2/3). To calculate Proportionate Velocity given Roughness Coefficient, you need Roughness coefficient full (N), Roughness coefficient partially full (n) & Hydraulic mean depth (r). With our tool, you need to enter the respective value for Roughness coefficient full, Roughness coefficient partially full & Hydraulic mean depth 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 full, Roughness coefficient partially full & Hydraulic mean depth. 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/Hydraulic mean depth while running full)^(2/3)
Proportionate velocity = Velocity while running partially full/Velocity while running full

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