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Hydraulic Mean Depth for Full Flow given Self Cleansing Velocity Calculator

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Hydraulic Mean Depth for Full Flow Hydraulic Mean Depth for Partial Flow Hydraulic Mean Depth Ratio

✖Hydraulic Mean Depth for Partially Full refers to the cross-sectional area of flow divided by the wetted perimeter, adapting to varying water levels.ⓘ Hydraulic Mean Depth for Partially Full [r_pf]			+10% -10%
✖Velocity in a Partially Running Sewer is the speed of flow when the sewer isn't fully filled, influenced by depth and slope.ⓘ Velocity in a Partially Running Sewer [V_s]			+10% -10%
✖Velocity while Running Full refers to the speed of fluid flow in a pipe when it's completely filled, influenced by pipe slope and roughness.ⓘ Velocity While Running Full [V]			+10% -10%
✖The Roughness Coefficient for Running Full accounts for uniform surface resistance affecting flow velocity and friction loss.ⓘ Roughness Coefficient for Running Full [N]			+10% -10%
✖Roughness Coefficient Partially Full means roughness coefficient of pipe while running partially full.ⓘ Roughness Coefficient Partially Full [n_p]			+10% -10%
✖The Bed Slope Ratio refers to the slope of a partially full pipe to the slope when it is completely full.ⓘ Bed Slope Ratio [S]			+10% -10%

✖Hydraulic Mean Depth while Running Full refers to the ratio of the pipe's full cross-sectional area to its full wetted perimeter.ⓘ Hydraulic Mean Depth for Full Flow given Self Cleansing Velocity [R_rf]

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Formula

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Hydraulic Mean Depth for Full Flow given Self Cleansing Velocity

Formula

R rf = \frac{r pf}{{(\frac{\frac{V s}{V}}{(\frac{N}{n p}) \cdot \sqrt{S}})}^{\frac{3}{2}}}

Example

5.536855 m = \frac{3.2 m}{{(\frac{\frac{4.6 m/s}{6.01 m/s}}{(\frac{0.74}{0.9}) \cdot \sqrt{1.8}})}^{\frac{3}{2}}}

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Hydraulic Mean Depth for Full Flow given Self Cleansing Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hydraulic Mean Depth while Running Full = Hydraulic Mean Depth for Partially Full/((Velocity in a Partially Running Sewer/Velocity While Running Full)/((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*sqrt(Bed Slope Ratio)))^(3/2)
R_rf = r_pf/((V_s/V)/((N/n_p)*sqrt(S)))^(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 while Running Full - (Measured in Meter) - Hydraulic Mean Depth while Running Full refers to the ratio of the pipe's full cross-sectional area to its full wetted perimeter.
Hydraulic Mean Depth for Partially Full - (Measured in Meter) - Hydraulic Mean Depth for Partially Full refers to the cross-sectional area of flow divided by the wetted perimeter, adapting to varying water levels.
Velocity in a Partially Running Sewer - (Measured in Meter per Second) - Velocity in a Partially Running Sewer is the speed of flow when the sewer isn't fully filled, influenced by depth and slope.
Velocity While Running Full - (Measured in Meter per Second) - Velocity while Running Full refers to the speed of fluid flow in a pipe when it's completely filled, influenced by pipe slope and roughness.
Roughness Coefficient for Running Full - The Roughness Coefficient for Running Full accounts for uniform surface resistance affecting flow velocity and friction loss.
Roughness Coefficient Partially Full - Roughness Coefficient Partially Full means roughness coefficient of pipe while running partially full.
Bed Slope Ratio - The Bed Slope Ratio refers to the slope of a partially full pipe to the slope when it is completely full.

STEP 1: Convert Input(s) to Base Unit

Hydraulic Mean Depth for Partially Full: 3.2 Meter --> 3.2 Meter No Conversion Required
Velocity in a Partially Running Sewer: 4.6 Meter per Second --> 4.6 Meter per Second No Conversion Required
Velocity While Running Full: 6.01 Meter per Second --> 6.01 Meter per Second No Conversion Required
Roughness Coefficient for Running Full: 0.74 --> No Conversion Required
Roughness Coefficient Partially Full: 0.9 --> No Conversion Required
Bed Slope Ratio: 1.8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_rf = r_pf/((V_s/V)/((N/n_p)*sqrt(S)))^(3/2) --> 3.2/((4.6/6.01)/((0.74/0.9)*sqrt(1.8)))^(3/2)

Evaluating ... ...

R_rf = 5.53685478040519

STEP 3: Convert Result to Output's Unit

5.53685478040519 Meter --> No Conversion Required

FINAL ANSWER

5.53685478040519 ≈ 5.536855 Meter <-- Hydraulic Mean Depth while Running Full

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Hydraulic Designs of Sewers and S. W. Drain Sections » Hydraulic Mean Depth » Hydraulic Mean Depth for Full Flow » Hydraulic Mean Depth for Full Flow given Self Cleansing Velocity

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Birsa Institute of Technology (BIT), Sindri

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< 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 for Partially Full/((Velocity in a Partially Running Sewer/Velocity While Running Full)/((Roughness Coefficient for Running 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 for Partially Full/(Velocity Ratio/((Roughness Coefficient for Running 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 for Partially Full*Bed Slope of Partial Flow)/Bed Slope of Channel

Hydraulic Mean Depth for Full Flow given Self Cleansing Velocity Formula

What is Hydraulic mean depth ratio ?

The hydraulic mean depth ratio is the comparison of the hydraulic mean depth (flow area divided by wetted perimeter) of a partially full pipe to that of a fully running pipe. This ratio helps in analyzing the flow efficiency and determining the capacity of the pipe under different flow conditions, aiding in the design and management of sewer systems.

How to Calculate Hydraulic Mean Depth for Full Flow given Self Cleansing Velocity?

Hydraulic Mean Depth for Full Flow given Self Cleansing Velocity calculator uses Hydraulic Mean Depth while Running Full = Hydraulic Mean Depth for Partially Full/((Velocity in a Partially Running Sewer/Velocity While Running Full)/((Roughness Coefficient for Running 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 Self Cleansing Velocity 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_rf symbol.

How to calculate Hydraulic Mean Depth for Full Flow given Self Cleansing Velocity using this online calculator? To use this online calculator for Hydraulic Mean Depth for Full Flow given Self Cleansing Velocity, enter Hydraulic Mean Depth for Partially Full (r_pf), Velocity in a Partially Running Sewer (V_s), Velocity While Running Full (V), Roughness Coefficient for Running Full (N), Roughness Coefficient Partially Full (n_p) & Bed Slope Ratio (S) and hit the calculate button. Here is how the Hydraulic Mean Depth for Full Flow given Self Cleansing Velocity calculation can be explained with given input values -> 19.31323 = 3.2/((self_cleansing_velocity/6.01)/((0.74/0.9)*sqrt(1.8)))^(3/2).

FAQ

What is Hydraulic Mean Depth for Full Flow given Self Cleansing Velocity?

Hydraulic Mean Depth for Full 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_rf = r_pf/((V_s/V)/((N/n_p)*sqrt(S)))^(3/2) or Hydraulic Mean Depth while Running Full = Hydraulic Mean Depth for Partially Full/((Velocity in a Partially Running Sewer/Velocity While Running Full)/((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*sqrt(Bed Slope Ratio)))^(3/2). Hydraulic Mean Depth for Partially Full refers to the cross-sectional area of flow divided by the wetted perimeter, adapting to varying water levels, Velocity in a Partially Running Sewer is the speed of flow when the sewer isn't fully filled, influenced by depth and slope, Velocity while Running Full refers to the speed of fluid flow in a pipe when it's completely filled, influenced by pipe slope and roughness, The Roughness Coefficient for Running Full accounts for uniform surface resistance affecting flow velocity and friction loss, Roughness Coefficient Partially Full means roughness coefficient of pipe while running partially full & The Bed Slope Ratio refers to the slope of a partially full pipe to the slope when it is completely full.

How to calculate Hydraulic Mean Depth for Full Flow given Self Cleansing Velocity?

Hydraulic Mean Depth for Full 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 while Running Full = Hydraulic Mean Depth for Partially Full/((Velocity in a Partially Running Sewer/Velocity While Running Full)/((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*sqrt(Bed Slope Ratio)))^(3/2). To calculate Hydraulic Mean Depth for Full Flow given Self Cleansing Velocity, you need Hydraulic Mean Depth for Partially Full (r_pf), Velocity in a Partially Running Sewer (V_s), Velocity While Running Full (V), Roughness Coefficient for Running Full (N), Roughness Coefficient Partially Full (n_p) & Bed Slope Ratio (S). With our tool, you need to enter the respective value for Hydraulic Mean Depth for Partially Full, Velocity in a Partially Running Sewer, Velocity While Running Full, Roughness Coefficient for Running 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 for Partially Full, Velocity in a Partially Running Sewer, Velocity While Running Full, Roughness Coefficient for Running 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 for Partially Full*Bed Slope of Partial Flow)/Bed Slope of Channel
Hydraulic Mean Depth while Running Full = Hydraulic Mean Depth for Partially Full/(Velocity Ratio/((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*sqrt(Bed Slope Ratio)))^(3/2)

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