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Proportionate Velocity is ratio of velocity when water is partially full to velocity when water is totally full. Check FAQs
Pv=(Nnp)(rpfrpf)23
Pv - Proportionate Velocity?N - Roughness Coefficient for Running Full?np - Roughness Coefficient Partially Full?rpf - Hydraulic Mean Depth for Partially Full?

Proportionate Velocity given Roughness Coefficient Example

With values
With units
Only example

Here is how the Proportionate Velocity given Roughness Coefficient equation looks like with Values.

Here is how the Proportionate Velocity given Roughness Coefficient equation looks like with Units.

Here is how the Proportionate Velocity given Roughness Coefficient equation looks like.

0.8222Edit=(0.74Edit0.9Edit)(3.2Edit3.2Edit)23
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Proportionate Velocity given Roughness Coefficient Solution

Follow our step by step solution on how to calculate Proportionate Velocity given Roughness Coefficient?

FIRST Step Consider the formula
Pv=(Nnp)(rpfrpf)23
Next Step Substitute values of Variables
Pv=(0.740.9)(3.2m3.2m)23
Next Step Prepare to Evaluate
Pv=(0.740.9)(3.23.2)23
Next Step Evaluate
Pv=0.822222222222222
LAST Step Rounding Answer
Pv=0.8222

Proportionate Velocity given Roughness Coefficient Formula Elements

Variables
Proportionate Velocity
Proportionate Velocity is ratio of velocity when water is partially full to velocity when water is totally full.
Symbol: Pv
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Roughness Coefficient for Running Full
The Roughness Coefficient for Running Full accounts for uniform surface resistance affecting flow velocity and friction loss.
Symbol: N
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Roughness Coefficient Partially Full
Roughness Coefficient Partially Full means roughness coefficient of pipe while running partially full.
Symbol: np
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Hydraulic Mean Depth for 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.
Symbol: rpf
Measurement: LengthUnit: m
Note: Value should be greater than 0.

Other Formulas to find Proportionate Velocity

​Go Proportionate Velocity given Central Angle
Pv=(1-(360π180)sin(central)2πcentral)23
​Go Proportionate Velocity when Roughness Coefficient does not Vary with Depth
Pv=(rpfRrf)23
​Go Proportionate Velocity given Velocity while Running Partially Full
Pv=VsV

Other formulas in Proportionate Velocity category

​Go Velocity while Running Full given Proportionate Velocity
V=VsPv
​Go Roughness Coefficient while Running Full given Proportionate Velocity
N=Pvnp(rpfRrf)23
​Go Hydraulic Mean Depth while Running Full given Proportionate Velocity
Rrf=((rpf)23Pv)32

How to Evaluate Proportionate Velocity given Roughness Coefficient?

Proportionate Velocity given Roughness Coefficient evaluator 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 evaluate 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 Pv symbol.

How to evaluate Proportionate Velocity given Roughness Coefficient using this online evaluator? To use this online evaluator for Proportionate Velocity given Roughness Coefficient, enter Roughness Coefficient for Running Full (N), Roughness Coefficient Partially Full (np) & Hydraulic Mean Depth for Partially Full (rpf) and hit the calculate button.

FAQs on Proportionate Velocity given Roughness Coefficient

What is the formula to find Proportionate Velocity given Roughness Coefficient?
The formula of Proportionate Velocity given Roughness Coefficient is expressed as 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). Here is an example- 0.822222 = (0.74/0.9)*(3.2/3.2)^(2/3).
How to calculate Proportionate Velocity given Roughness Coefficient?
With Roughness Coefficient for Running Full (N), Roughness Coefficient Partially Full (np) & Hydraulic Mean Depth for Partially Full (rpf) we can find Proportionate Velocity given Roughness Coefficient using the formula - 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).
What are the other ways to Calculate Proportionate Velocity?
Here are the different ways to Calculate Proportionate Velocity-
  • Proportionate Velocity=(1-((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle))^(2/3)OpenImg
  • Proportionate Velocity=(Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)OpenImg
  • Proportionate Velocity=Velocity in a Partially Running Sewer/Velocity While Running FullOpenImg
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