Hydraulic Mean Depth for Partial Flow given Velocity Ratio Calculator

✖Hydraulic mean depth while running full means hmd of pipe while running full.ⓘ Hydraulic mean depth while running full [R]			+10% -10%
✖Velocity ratio is the ratio of velocity of partial flow to full flow.ⓘ Velocity ratio [νsV_ratio]			+10% -10%
✖Roughness coefficient full means roughness coefficient of pipe while running full.ⓘ Roughness coefficient full [N]			+10% -10%
✖Roughness coefficient partially full means roughness coefficient of pipe while running partially full.ⓘ Roughness coefficient partially full [n]			+10% -10%
✖Bed slope ratio is the ratio of bed slope of partial flow to full flow.ⓘ Bed slope ratio [soS_ratio]			+10% -10%

✖Hydraulic mean depth while running partially full.ⓘ Hydraulic Mean Depth for Partial Flow given Velocity Ratio [r]

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Formula

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Hydraulic Mean Depth for Partial Flow given Velocity Ratio

Formula

`"r" = "R"*("νsV"_{"ratio"}/(("N"/"n")*sqrt("soS"_{"ratio"})))^(3/2)`

Example

`"9.325083m"="5m"*("2"/(("0.97"/"0.9")*sqrt("1.5")))^(3/2)`

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Hydraulic Mean Depth for Partial Flow given Velocity Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hydraulic mean depth = Hydraulic mean depth while running full*(Velocity ratio/((Roughness coefficient full/Roughness coefficient partially full)*sqrt(Bed slope ratio)))^(3/2)
r = R*(νsV_ratio/((N/n)*sqrt(soS_ratio)))^(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 - (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.
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 while running full: 5 Meter --> 5 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*(νsV_ratio/((N/n)*sqrt(soS_ratio)))^(3/2) --> 5*(2/((0.97/0.9)*sqrt(1.5)))^(3/2)

Evaluating ... ...

r = 9.32508322043249

STEP 3: Convert Result to Output's Unit

9.32508322043249 Meter --> No Conversion Required

FINAL ANSWER

9.32508322043249 ≈ 9.325083 Meter <-- Hydraulic mean depth

(Calculation completed in 00.004 seconds)

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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 Velocity Ratio Formula

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 Velocity Ratio?

Hydraulic Mean Depth for Partial Flow given Velocity Ratio calculator uses Hydraulic mean depth = Hydraulic mean depth while running full*(Velocity ratio/((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 Velocity Ratio 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 Velocity Ratio using this online calculator? To use this online calculator for Hydraulic Mean Depth for Partial Flow given Velocity Ratio, enter Hydraulic mean depth while running full (R), Velocity ratio (νsV_ratio), Roughness coefficient full (N), Roughness coefficient partially full (n) & Bed slope ratio (soS_ratio) and hit the calculate button. Here is how the Hydraulic Mean Depth for Partial Flow given Velocity Ratio calculation can be explained with given input values -> 9.325083 = 5*(2/((0.97/0.9)*sqrt(1.5)))^(3/2).

FAQ

What is Hydraulic Mean Depth for Partial Flow given Velocity Ratio?

Hydraulic Mean Depth for Partial 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*(νsV_ratio/((N/n)*sqrt(soS_ratio)))^(3/2) or 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 while running full means hmd of pipe while running 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 Partial Flow given Velocity Ratio?

Hydraulic Mean Depth for Partial 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 = Hydraulic mean depth while running full*(Velocity ratio/((Roughness coefficient full/Roughness coefficient partially full)*sqrt(Bed slope ratio)))^(3/2). To calculate Hydraulic Mean Depth for Partial Flow given Velocity Ratio, you need Hydraulic mean depth while running full (R), Velocity ratio (νsV_ratio), Roughness coefficient full (N), Roughness coefficient partially full (n) & Bed slope ratio (soS_ratio). With our tool, you need to enter the respective value for Hydraulic mean depth while running full, 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?

In this formula, Hydraulic mean depth uses Hydraulic mean depth while running full, 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 = (Hydraulic mean depth while running full*Bed slope)/Bed slope of partial flow
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)

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