Velocity of Full Flow given Hydraulic Mean Depth Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity while running full = Self Cleansing Velocity/((Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth ratio)^(1/6))
V = Vs/((N/n)*(rR)^(1/6))
This formula uses 5 Variables
Variables Used
Velocity while running full - (Measured in Meter per Second) - Velocity while running full means when velocity of water through pipe while running full.
Self Cleansing Velocity - (Measured in Meter per Second) - Self Cleansing Velocity is the rate of change of displacement.
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
Self Cleansing Velocity: 2 Meter per Second --> 2 Meter per Second No Conversion Required
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
V = Vs/((N/n)*(rR)^(1/6)) --> 2/((0.97/0.9)*(2)^(1/6))
Evaluating ... ...
V = 1.65321411613671
STEP 3: Convert Result to Output's Unit
1.65321411613671 Meter per Second --> No Conversion Required
FINAL ANSWER
1.65321411613671 1.653214 Meter per Second <-- Velocity while running full
(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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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 of Full Flow given Hydraulic Mean Depth Ratio Formula

Velocity while running full = Self Cleansing Velocity/((Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth ratio)^(1/6))
V = Vs/((N/n)*(rR)^(1/6))

What is self cleansing velocity ?

The criterion for self-cleansing was defined as the minimum velocity needed to prevent the formation of separated dunes in the pipes. For a given sediment concentration the self-cleansing velocity was found to be a maximum at pipe slopes between about 30° and 37.5°.

How to Calculate Velocity of Full Flow given Hydraulic Mean Depth Ratio?

Velocity of Full Flow given Hydraulic Mean Depth Ratio calculator uses Velocity while running full = Self Cleansing Velocity/((Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth ratio)^(1/6)) to calculate the Velocity while running full, Velocity of Full Flow given Hydraulic Mean Depth Ratio is defined as minimum velocity needed to prevent formation of separated dunes in pipes. Velocity while running full is denoted by V symbol.

How to calculate Velocity of Full Flow given Hydraulic Mean Depth Ratio using this online calculator? To use this online calculator for Velocity of Full Flow given Hydraulic Mean Depth Ratio, enter Self Cleansing Velocity (Vs), Roughness coefficient full (N), Roughness coefficient partially full (n) & Hydraulic mean depth ratio (rR) and hit the calculate button. Here is how the Velocity of Full Flow given Hydraulic Mean Depth Ratio calculation can be explained with given input values -> 1.653214 = 2/((0.97/0.9)*(2)^(1/6)).

FAQ

What is Velocity of Full Flow given Hydraulic Mean Depth Ratio?
Velocity of Full Flow given Hydraulic Mean Depth Ratio is defined as minimum velocity needed to prevent formation of separated dunes in pipes and is represented as V = Vs/((N/n)*(rR)^(1/6)) or Velocity while running full = Self Cleansing Velocity/((Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth ratio)^(1/6)). Self Cleansing Velocity is the rate of change of displacement, 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 of Full Flow given Hydraulic Mean Depth Ratio?
Velocity of Full Flow given Hydraulic Mean Depth Ratio is defined as minimum velocity needed to prevent formation of separated dunes in pipes is calculated using Velocity while running full = Self Cleansing Velocity/((Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth ratio)^(1/6)). To calculate Velocity of Full Flow given Hydraulic Mean Depth Ratio, you need Self Cleansing Velocity (Vs), 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 Self Cleansing Velocity, 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 while running full?
In this formula, Velocity while running full uses Self Cleansing Velocity, Roughness coefficient full, Roughness coefficient partially full & Hydraulic mean depth ratio. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • 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))
  • 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))
  • 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))
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