Self Cleansing Velocity using Ratio of Bed Slope Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
Vs = V*((N/n)*(r/R)^(2/3)*sqrt(soSratio))
This formula uses 1 Functions, 7 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Self Cleansing Velocity - (Measured in Meter per Second) - Self Cleansing Velocity is the rate of change of displacement.
Velocity while running full - (Measured in Meter per Second) - Velocity while running full means when velocity of water through pipe while running 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.
Hydraulic mean depth while running full - (Measured in Meter) - Hydraulic mean depth while running full means hmd of pipe while running full.
Bed slope ratio - Bed slope ratio is the ratio of bed slope of partial flow to full flow.
STEP 1: Convert Input(s) to Base Unit
Velocity while running full: 10 Meter per Second --> 10 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: 3 Meter --> 3 Meter No Conversion Required
Hydraulic mean depth while running full: 5 Meter --> 5 Meter No Conversion Required
Bed slope ratio: 1.5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vs = V*((N/n)*(r/R)^(2/3)*sqrt(soSratio)) --> 10*((0.97/0.9)*(3/5)^(2/3)*sqrt(1.5))
Evaluating ... ...
Vs = 9.3902182839521
STEP 3: Convert Result to Output's Unit
9.3902182839521 Meter per Second --> No Conversion Required
FINAL ANSWER
9.3902182839521 9.390218 Meter per Second <-- Self Cleansing Velocity
(Calculation completed in 00.004 seconds)

Credits

Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
Suraj Kumar has created this Calculator and 2200+ more calculators!
Verified by Ishita Goyal
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))

Self Cleansing Velocity using Ratio of Bed Slope Formula

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))
Vs = V*((N/n)*(r/R)^(2/3)*sqrt(soSratio))

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 Self Cleansing Velocity using Ratio of Bed Slope?

Self Cleansing Velocity using Ratio of Bed Slope calculator uses 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)) to calculate the Self Cleansing Velocity, The Self Cleansing Velocity using Ratio of Bed Slope defined as the minimum velocity needed to prevent the formation of separated dunes in the pipes. Self Cleansing Velocity is denoted by Vs symbol.

How to calculate Self Cleansing Velocity using Ratio of Bed Slope using this online calculator? To use this online calculator for Self Cleansing Velocity using Ratio of Bed Slope, enter Velocity while running full (V), Roughness coefficient full (N), Roughness coefficient partially full (n), Hydraulic mean depth (r), Hydraulic mean depth while running full (R) & Bed slope ratio (soSratio) and hit the calculate button. Here is how the Self Cleansing Velocity using Ratio of Bed Slope calculation can be explained with given input values -> 9.390218 = 10*((0.97/0.9)*(3/5)^(2/3)*sqrt(1.5)).

FAQ

What is Self Cleansing Velocity using Ratio of Bed Slope?
The Self Cleansing Velocity using Ratio of Bed Slope defined as the minimum velocity needed to prevent the formation of separated dunes in the pipes and is represented as Vs = V*((N/n)*(r/R)^(2/3)*sqrt(soSratio)) or 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 while running full means when velocity of water through pipe while running full, 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, Hydraulic mean depth while running full means hmd of pipe while running full & Bed slope ratio is the ratio of bed slope of partial flow to full flow.
How to calculate Self Cleansing Velocity using Ratio of Bed Slope?
The Self Cleansing Velocity using Ratio of Bed Slope defined as the minimum velocity needed to prevent the formation of separated dunes in the pipes is calculated using 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)). To calculate Self Cleansing Velocity using Ratio of Bed Slope, you need Velocity while running full (V), Roughness coefficient full (N), Roughness coefficient partially full (n), Hydraulic mean depth (r), Hydraulic mean depth while running full (R) & Bed slope ratio (soSratio). With our tool, you need to enter the respective value for Velocity while running full, Roughness coefficient full, Roughness coefficient partially full, Hydraulic mean depth, Hydraulic mean depth while running full & Bed slope 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 Self Cleansing Velocity?
In this formula, Self Cleansing Velocity uses Velocity while running full, Roughness coefficient full, Roughness coefficient partially full, Hydraulic mean depth, Hydraulic mean depth while running full & Bed slope ratio. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Self Cleansing Velocity = Velocity while running full*(Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth ratio)^(1/6)
  • 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)
  • 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))
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