Hydraulic Mean Depth for Full Flow given Velocity Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Hydraulic mean depth while running full = Hydraulic mean depth/(Velocity ratio/((Roughness coefficient full/Roughness coefficient partially full)*sqrt(Bed slope ratio)))^(3/2)
R = r/(νsVratio/((N/n)*sqrt(soSratio)))^(3/2)
This formula uses 1 Functions, 6 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 while running full - (Measured in Meter) - Hydraulic mean depth while running full means hmd of pipe while running full.
Hydraulic mean depth - (Measured in Meter) - Hydraulic mean depth while running partially full.
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.
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: 3 Meter --> 3 Meter No Conversion Required
Velocity ratio: 2 --> 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/(νsVratio/((N/n)*sqrt(soSratio)))^(3/2) --> 3/(2/((0.97/0.9)*sqrt(1.5)))^(3/2)
Evaluating ... ...
R = 1.60856473292732
STEP 3: Convert Result to Output's Unit
1.60856473292732 Meter --> No Conversion Required
FINAL ANSWER
1.60856473292732 1.608565 Meter <-- Hydraulic mean depth while running full
(Calculation completed in 00.004 seconds)

Credits

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

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

Hydraulic Mean Depth for Full Flow given Velocity Ratio Formula

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

What is hydraulic 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 Full Flow given Velocity Ratio?

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

How to calculate Hydraulic Mean Depth for Full Flow given Velocity Ratio using this online calculator? To use this online calculator for Hydraulic Mean Depth for Full Flow given Velocity Ratio, enter Hydraulic mean depth (r), Velocity ratio (νsVratio), 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 Full Flow given Velocity Ratio calculation can be explained with given input values -> 1.608565 = 3/(2/((0.97/0.9)*sqrt(1.5)))^(3/2).

FAQ

What is Hydraulic Mean Depth for Full Flow given Velocity Ratio?
Hydraulic Mean Depth for Full Flow given Velocity Ratio is defined as depth which, when multiplied by top water surface width is equal to irregular section area and is represented as R = r/(νsVratio/((N/n)*sqrt(soSratio)))^(3/2) or Hydraulic mean depth while running full = Hydraulic mean depth/(Velocity ratio/((Roughness coefficient full/Roughness coefficient partially full)*sqrt(Bed slope ratio)))^(3/2). Hydraulic mean depth while running partially full, Velocity ratio is the ratio of velocity of partial flow to full flow, 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 Full Flow given Velocity Ratio?
Hydraulic Mean Depth for Full Flow given Velocity Ratio is defined as depth which, when multiplied by top water surface width is equal to irregular section area is calculated using Hydraulic mean depth while running full = Hydraulic mean depth/(Velocity ratio/((Roughness coefficient full/Roughness coefficient partially full)*sqrt(Bed slope ratio)))^(3/2). To calculate Hydraulic Mean Depth for Full Flow given Velocity Ratio, you need Hydraulic mean depth (r), Velocity ratio (νsVratio), 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, Velocity ratio, 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 while running full?
In this formula, Hydraulic mean depth while running full uses Hydraulic mean depth, Velocity ratio, 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 while running full = (Hydraulic mean depth*Bed slope of partial flow)/Bed slope
  • Hydraulic mean depth while running full = Hydraulic mean depth/((Self Cleansing Velocity/Velocity while running full)/((Roughness coefficient full/Roughness coefficient partially full)*sqrt(Bed slope ratio)))^(3/2)
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