LCM of three numbers

Velocity Ratio given Hydraulic Mean Depth Ratio Calculator

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Flow Velocity through Circular Sewer Area of Cross Section of Circular Sewer Bed Slope of Circular Sewer Discharge and Discharge Ratio through Circular Sewer

✖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 Hydraulic Mean Depth Ratio refers to the ratio of the hydraulic mean depth for a partially full pipe to that when it's running full.ⓘ Hydraulic Mean Depth Ratio [R]			+10% -10%

✖The Velocity Ratio compares the flow velocity in a partially full pipe to that in a fully running pipe.ⓘ Velocity Ratio given Hydraulic Mean Depth Ratio [νsV_ratio]

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Formula

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Velocity Ratio given Hydraulic Mean Depth Ratio

Formula

νsV ratio = ((\frac{N}{n p}) \cdot {(R)}^{\frac{1}{6}})

Example

0.7572 = ((\frac{0.74}{0.9}) \cdot {(0.61)}^{\frac{1}{6}})

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Download Proportionate Hydraulic Elements for Circular Sewers Formulas PDF PDF Image

Velocity Ratio given Hydraulic Mean Depth Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity Ratio = ((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Hydraulic Mean Depth Ratio)^(1/6))
νsV_ratio = ((N/n_p)*(R)^(1/6))
This formula uses 4 Variables

Variables Used

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.
Hydraulic Mean Depth Ratio - The Hydraulic Mean Depth Ratio refers to the ratio of the hydraulic mean depth for a partially full pipe to that when it's running full.

STEP 1: Convert Input(s) to Base Unit

Roughness Coefficient for Running Full: 0.74 --> No Conversion Required
Roughness Coefficient Partially Full: 0.9 --> No Conversion Required
Hydraulic Mean Depth Ratio: 0.61 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

νsV_ratio = ((N/n_p)*(R)^(1/6)) --> ((0.74/0.9)*(0.61)^(1/6))

Evaluating ... ...

νsV_ratio = 0.7572004257119

STEP 3: Convert Result to Output's Unit

0.7572004257119 --> No Conversion Required

FINAL ANSWER

0.7572004257119 ≈ 0.7572 <-- Velocity Ratio

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Environmental Engineering » Hydraulic Designs of Sewers and S. W. Drain Sections » Proportionate Hydraulic Elements for Circular Sewers » Flow Velocity through Circular Sewer » Velocity Ratio given Hydraulic Mean Depth Ratio

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Birsa Institute of Technology (BIT), Sindri

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< Flow Velocity through Circular Sewer Calculators

Self Cleansing Velocity using Ratio of Bed Slope

Go Velocity in a Partially Running Sewer = Velocity While Running Full*((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)*sqrt(Bed Slope Ratio))

Velocity Ratio given Ratio of Bed Slope

Go Velocity Ratio = (Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)*sqrt(Bed Slope Ratio)

Self Cleansing Velocity given Hydraulic Mean Depth Ratio

Go Velocity in a Partially Running Sewer = Velocity While Running Full*(Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Hydraulic Mean Depth Ratio)^(1/6)

Velocity Ratio given Hydraulic Mean Depth Ratio

Go Velocity Ratio = ((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Hydraulic Mean Depth Ratio)^(1/6))

Velocity Ratio given Hydraulic Mean Depth Ratio Formula

Velocity Ratio = ((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Hydraulic Mean Depth Ratio)^(1/6))
νsV_ratio = ((N/n_p)*(R)^(1/6))

What is Hydraulic Mean Depth?

Hydraulic Mean Depth, or hydraulic radius, is the ratio of the cross-sectional area of fluid flow to the wetted perimeter in a channel or pipe. It's a key parameter in fluid dynamics, used to determine flow characteristics like velocity and discharge. In open channel flow, it influences resistance, energy loss, and overall efficiency, making it vital for designing and analyzing water conveyance systems.

How to Calculate Velocity Ratio given Hydraulic Mean Depth Ratio?

Velocity Ratio given Hydraulic Mean Depth Ratio calculator uses Velocity Ratio = ((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Hydraulic Mean Depth Ratio)^(1/6)) to calculate the Velocity Ratio, Velocity Ratio given Hydraulic Mean Depth Ratio is defined as the flow velocity in a partially full pipe to that in a fully running pipe, indicating efficiency differences. Velocity Ratio is denoted by νsV_ratio symbol.

How to calculate Velocity Ratio given Hydraulic Mean Depth Ratio using this online calculator? To use this online calculator for Velocity Ratio given Hydraulic Mean Depth Ratio, enter Roughness Coefficient for Running Full (N), Roughness Coefficient Partially Full (n_p) & Hydraulic Mean Depth Ratio (R) and hit the calculate button. Here is how the Velocity Ratio given Hydraulic Mean Depth Ratio calculation can be explained with given input values -> 0.7572 = ((0.74/0.9)*(0.61)^(1/6)).

FAQ

What is Velocity Ratio given Hydraulic Mean Depth Ratio?

Velocity Ratio given Hydraulic Mean Depth Ratio is defined as the flow velocity in a partially full pipe to that in a fully running pipe, indicating efficiency differences and is represented as νsV_ratio = ((N/n_p)*(R)^(1/6)) or Velocity Ratio = ((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Hydraulic Mean Depth Ratio)^(1/6)). 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 Hydraulic Mean Depth Ratio refers to the ratio of the hydraulic mean depth for a partially full pipe to that when it's running full.

How to calculate Velocity Ratio given Hydraulic Mean Depth Ratio?

Velocity Ratio given Hydraulic Mean Depth Ratio is defined as the flow velocity in a partially full pipe to that in a fully running pipe, indicating efficiency differences is calculated using Velocity Ratio = ((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Hydraulic Mean Depth Ratio)^(1/6)). To calculate Velocity Ratio given Hydraulic Mean Depth Ratio, you need Roughness Coefficient for Running Full (N), Roughness Coefficient Partially Full (n_p) & Hydraulic Mean Depth Ratio (R). With our tool, you need to enter the respective value for Roughness Coefficient for Running Full, Roughness Coefficient Partially Full & Hydraulic Mean Depth 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 Velocity Ratio?

In this formula, Velocity Ratio uses Roughness Coefficient for Running Full, Roughness Coefficient Partially Full & Hydraulic Mean Depth Ratio. We can use 1 other way(s) to calculate the same, which is/are as follows -

Velocity Ratio = (Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)*sqrt(Bed Slope Ratio)

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