Hydraulic Mean Depth for Partial Flow given Self Cleansing Velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Hydraulic mean depth = Hydraulic mean depth while running full*((Self Cleansing Velocity/Velocity while running full)/((Roughness coefficient full/Roughness coefficient partially full)*sqrt(Bed slope ratio)))^(3/2)
r = R*((Vs/V)/((N/n)*sqrt(soSratio)))^(3/2)
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
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.
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.
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
Hydraulic mean depth while running full: 5 Meter --> 5 Meter No Conversion Required
Self Cleansing Velocity: 2 Meter per Second --> 2 Meter per Second No Conversion Required
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
Bed slope ratio: 1.5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = R*((Vs/V)/((N/n)*sqrt(soSratio)))^(3/2) --> 5*((2/10)/((0.97/0.9)*sqrt(1.5)))^(3/2)
Evaluating ... ...
r = 0.294885023471847
STEP 3: Convert Result to Output's Unit
0.294885023471847 Meter --> No Conversion Required
FINAL ANSWER
0.294885023471847 0.294885 Meter <-- Hydraulic mean depth
(Calculation completed in 00.020 seconds)

Credits

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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3 Hydraulic Mean Depth for Partial Flow Calculators

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

Hydraulic Mean Depth for Partial Flow given Self Cleansing Velocity Formula

Hydraulic mean depth = Hydraulic mean depth while running full*((Self Cleansing Velocity/Velocity while running full)/((Roughness coefficient full/Roughness coefficient partially full)*sqrt(Bed slope ratio)))^(3/2)
r = R*((Vs/V)/((N/n)*sqrt(soSratio)))^(3/2)

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 Hydraulic Mean Depth for Partial Flow given Self Cleansing Velocity?

Hydraulic Mean Depth for Partial Flow given Self Cleansing Velocity calculator uses Hydraulic mean depth = Hydraulic mean depth while running full*((Self Cleansing Velocity/Velocity while running full)/((Roughness coefficient full/Roughness coefficient partially full)*sqrt(Bed slope ratio)))^(3/2) to calculate the Hydraulic mean depth, Hydraulic Mean Depth for Partial Flow given Self Cleansing Velocity is defined as depth which, when multiplied by top water surface width is equal to irregular section area. Hydraulic mean depth is denoted by r symbol.

How to calculate Hydraulic Mean Depth for Partial Flow given Self Cleansing Velocity using this online calculator? To use this online calculator for Hydraulic Mean Depth for Partial Flow given Self Cleansing Velocity, enter Hydraulic mean depth while running full (R), Self Cleansing Velocity (Vs), Velocity while running full (V), Roughness coefficient full (N), Roughness coefficient partially full (n) & Bed slope ratio (soSratio) and hit the calculate button. Here is how the Hydraulic Mean Depth for Partial Flow given Self Cleansing Velocity calculation can be explained with given input values -> 0.294885 = 5*((2/10)/((0.97/0.9)*sqrt(1.5)))^(3/2).

FAQ

What is Hydraulic Mean Depth for Partial Flow given Self Cleansing Velocity?
Hydraulic Mean Depth for Partial Flow given Self Cleansing Velocity is defined as depth which, when multiplied by top water surface width is equal to irregular section area and is represented as r = R*((Vs/V)/((N/n)*sqrt(soSratio)))^(3/2) or Hydraulic mean depth = Hydraulic mean depth while running full*((Self Cleansing Velocity/Velocity while running full)/((Roughness coefficient full/Roughness coefficient partially full)*sqrt(Bed slope ratio)))^(3/2). Hydraulic mean depth while running full means hmd of pipe while running full, Self Cleansing Velocity is the rate of change of displacement, 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 & Bed slope ratio is the ratio of bed slope of partial flow to full flow.
How to calculate Hydraulic Mean Depth for Partial Flow given Self Cleansing Velocity?
Hydraulic Mean Depth for Partial Flow given Self Cleansing Velocity is defined as depth which, when multiplied by top water surface width is equal to irregular section area is calculated using Hydraulic mean depth = Hydraulic mean depth while running full*((Self Cleansing Velocity/Velocity while running full)/((Roughness coefficient full/Roughness coefficient partially full)*sqrt(Bed slope ratio)))^(3/2). To calculate Hydraulic Mean Depth for Partial Flow given Self Cleansing Velocity, you need Hydraulic mean depth while running full (R), Self Cleansing Velocity (Vs), Velocity while running full (V), Roughness coefficient full (N), Roughness coefficient partially full (n) & Bed slope ratio (soSratio). With our tool, you need to enter the respective value for Hydraulic mean depth while running full, Self Cleansing Velocity, Velocity while running full, Roughness coefficient full, Roughness coefficient partially 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 Hydraulic mean depth?
In this formula, Hydraulic mean depth uses Hydraulic mean depth while running full, Self Cleansing Velocity, Velocity while running full, Roughness coefficient full, Roughness coefficient partially full & Bed slope ratio. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Hydraulic mean depth = (Hydraulic mean depth while running full*Bed slope)/Bed slope of partial flow
  • Hydraulic mean depth = Hydraulic mean depth while running full*(Velocity ratio/((Roughness coefficient full/Roughness coefficient partially full)*sqrt(Bed slope ratio)))^(3/2)
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