Velocity Ratio given Hydraulic Mean Depth Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity ratio = ((Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth ratio)^(1/6))
νsVratio = ((N/n)*(rR)^(1/6))
This formula uses 4 Variables
Variables Used
Velocity ratio - Velocity ratio is the ratio of velocity of partial flow to full flow.
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 ratio - Hydraulic mean depth ratio is the ratio of hydraulic mean depth of partial flow to full flow.
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 ratio: 2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
νsVratio = ((N/n)*(rR)^(1/6)) --> ((0.97/0.9)*(2)^(1/6))
Evaluating ... ...
νsVratio = 1.20976465206677
STEP 3: Convert Result to Output's Unit
1.20976465206677 --> No Conversion Required
FINAL ANSWER
1.20976465206677 1.209765 <-- Velocity ratio
(Calculation completed in 00.004 seconds)

Credits

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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10+ Flow Velocity through Circular Sewer Calculators

Velocity when Running Full using Bed Slope for Partial Flow
Go Velocity while running full = Self Cleansing Velocity/((Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(2/3)*sqrt(Bed slope of partial flow/Bed slope))
Self Cleansing Velocity given Bed Slope for Partial Flow
Go Self Cleansing Velocity = Velocity while running full*((Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(2/3)*sqrt(Bed slope of partial flow/Bed slope))
Velocity when Running Full using Ratio of Bed Slope
Go Velocity while running full = Self Cleansing Velocity/((Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(2/3)*sqrt(Bed slope ratio))
Self Cleansing Velocity using Ratio of Bed Slope
Go Self Cleansing Velocity = Velocity while running full*((Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(2/3)*sqrt(Bed slope ratio))
Velocity Ratio given Ratio of Bed Slope
Go Velocity ratio = (Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(2/3)*sqrt(Bed slope ratio)
Velocity of Full Flow given Hydraulic Mean Depth for Full Flow
Go Velocity while running full = Self Cleansing Velocity/((Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(1/6))
Self Cleansing Velocity given Hydraulic Mean Depth for Full Flow
Go Self Cleansing Velocity = Velocity while running full*(Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(1/6)
Velocity of Full Flow given Hydraulic Mean Depth Ratio
Go Velocity while running full = Self Cleansing Velocity/((Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth ratio)^(1/6))
Self Cleansing Velocity given Hydraulic Mean Depth Ratio
Go Self Cleansing Velocity = Velocity while running full*(Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth ratio)^(1/6)
Velocity Ratio given Hydraulic Mean Depth Ratio
Go Velocity ratio = ((Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth ratio)^(1/6))

Velocity Ratio given Hydraulic Mean Depth Ratio Formula

Velocity ratio = ((Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth ratio)^(1/6))
νsVratio = ((N/n)*(rR)^(1/6))

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 Velocity Ratio given Hydraulic Mean Depth Ratio?

Velocity Ratio given Hydraulic Mean Depth Ratio calculator uses Velocity ratio = ((Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth ratio)^(1/6)) to calculate the Velocity ratio, Velocity Ratio given Hydraulic Mean Depth Ratio is defined as ratio of velocity of partial flow to velocity of full flow. Velocity ratio is denoted by νsVratio symbol.

How to calculate Velocity Ratio given Hydraulic Mean Depth Ratio using this online calculator? To use this online calculator for Velocity Ratio given Hydraulic Mean Depth Ratio, enter Roughness coefficient full (N), Roughness coefficient partially full (n) & Hydraulic mean depth ratio (rR) and hit the calculate button. Here is how the Velocity Ratio given Hydraulic Mean Depth Ratio calculation can be explained with given input values -> 1.209765 = ((0.97/0.9)*(2)^(1/6)).

FAQ

What is Velocity Ratio given Hydraulic Mean Depth Ratio?
Velocity Ratio given Hydraulic Mean Depth Ratio is defined as ratio of velocity of partial flow to velocity of full flow and is represented as νsVratio = ((N/n)*(rR)^(1/6)) or Velocity ratio = ((Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth ratio)^(1/6)). 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 ratio is the ratio of hydraulic mean depth of partial flow to full flow.
How to calculate Velocity Ratio given Hydraulic Mean Depth Ratio?
Velocity Ratio given Hydraulic Mean Depth Ratio is defined as ratio of velocity of partial flow to velocity of full flow is calculated using Velocity ratio = ((Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth ratio)^(1/6)). To calculate Velocity Ratio given Hydraulic Mean Depth Ratio, you need Roughness coefficient full (N), Roughness coefficient partially full (n) & Hydraulic mean depth ratio (rR). With our tool, you need to enter the respective value for Roughness coefficient full, Roughness coefficient partially full & Hydraulic mean depth ratio 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 Velocity ratio?
In this formula, Velocity ratio uses Roughness coefficient full, Roughness coefficient partially full & Hydraulic mean depth ratio. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Velocity ratio = (Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(2/3)*sqrt(Bed slope ratio)
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