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Hydraulic Mean Depth for Partial Flow given Velocity Ratio Calculator

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

✖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 while Running Full [R_rf]			+10% -10%
✖The Velocity Ratio compares the flow velocity in a partially full pipe to that in a fully running pipe.ⓘ Velocity Ratio [νsV_ratio]			+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 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 Partial Flow given Velocity Ratio [r_pf]

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Formula

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Hydraulic Mean Depth for Partial Flow given Velocity Ratio

Formula

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

Example

2.97362 m = 5.2 m \cdot {(\frac{0.76}{(\frac{0.74}{0.9}) \cdot \sqrt{1.8}})}^{\frac{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 for Partially Full = Hydraulic Mean Depth while Running Full*(Velocity Ratio/((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*sqrt(Bed Slope Ratio)))^(3/2)
r_pf = R_rf*(νsV_ratio/((N/n_p)*sqrt(S)))^(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 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.
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.
Velocity Ratio - The Velocity Ratio compares the flow velocity in a partially full pipe to that in a fully running pipe.
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 while Running Full: 5.2 Meter --> 5.2 Meter No Conversion Required
Velocity Ratio: 0.76 --> 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_pf = R_rf*(νsV_ratio/((N/n_p)*sqrt(S)))^(3/2) --> 5.2*(0.76/((0.74/0.9)*sqrt(1.8)))^(3/2)

Evaluating ... ...

r_pf = 2.9736204704708

STEP 3: Convert Result to Output's Unit

2.9736204704708 Meter --> No Conversion Required

FINAL ANSWER

2.9736204704708 ≈ 2.97362 Meter <-- Hydraulic Mean Depth for Partially Full

(Calculation completed in 00.004 seconds)

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< Hydraulic Mean Depth for Partial Flow Calculators

Hydraulic Mean Depth for Partial Flow given Self Cleansing Velocity

Go Hydraulic Mean Depth for Partially Full = Hydraulic Mean Depth while Running 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 Partial Flow given Velocity Ratio

Go Hydraulic Mean Depth for Partially Full = Hydraulic Mean Depth while Running Full*(Velocity Ratio/((Roughness Coefficient for Running 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 for Partially Full = (Hydraulic Mean Depth while Running Full*Bed Slope of Channel)/Bed Slope of Partial Flow

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

Hydraulic Mean Depth for Partial Flow given Velocity Ratio calculator uses Hydraulic Mean Depth for Partially Full = Hydraulic Mean Depth while Running Full*(Velocity Ratio/((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*sqrt(Bed Slope Ratio)))^(3/2) to calculate the Hydraulic Mean Depth for Partially Full, Hydraulic Mean Depth for Partial Flow given Velocity Ratio is defined as the cross-sectional area of flow divided by the wetted perimeter, adapting to varying water levels. Hydraulic Mean Depth for Partially Full is denoted by r_pf 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_rf), Velocity Ratio (νsV_ratio), 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 Partial Flow given Velocity Ratio calculation can be explained with given input values -> 12.69434 = 5.2*(velocity_ratio_/((0.74/0.9)*sqrt(1.8)))^(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 the cross-sectional area of flow divided by the wetted perimeter, adapting to varying water levels and is represented as r_pf = R_rf*(νsV_ratio/((N/n_p)*sqrt(S)))^(3/2) or Hydraulic Mean Depth for Partially Full = Hydraulic Mean Depth while Running Full*(Velocity Ratio/((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*sqrt(Bed Slope Ratio)))^(3/2). Hydraulic Mean Depth while Running Full refers to the ratio of the pipe's full cross-sectional area to its full wetted perimeter, The Velocity Ratio compares the flow velocity in a partially full pipe to that in a fully running pipe, 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 Partial Flow given Velocity Ratio?

Hydraulic Mean Depth for Partial Flow given Velocity Ratio is defined as the cross-sectional area of flow divided by the wetted perimeter, adapting to varying water levels is calculated using Hydraulic Mean Depth for Partially Full = Hydraulic Mean Depth while Running Full*(Velocity Ratio/((Roughness Coefficient for Running 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_rf), Velocity Ratio (νsV_ratio), 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 while Running Full, Velocity Ratio, 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 for Partially Full?

In this formula, Hydraulic Mean Depth for Partially Full uses Hydraulic Mean Depth while Running Full, Velocity Ratio, 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 for Partially Full = (Hydraulic Mean Depth while Running Full*Bed Slope of Channel)/Bed Slope of Partial Flow
Hydraulic Mean Depth for Partially Full = Hydraulic Mean Depth while Running 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)

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