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Velocity Ratio given Ratio of Bed Slope 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%
✖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%
✖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 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%

✖The Velocity Ratio compares the flow velocity in a partially full pipe to that in a fully running pipe.ⓘ Velocity Ratio given Ratio of Bed Slope [νsV_ratio]

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Formula

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Velocity Ratio given Ratio of Bed Slope

Formula

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

Example

0.798099 = (\frac{0.74}{0.9}) \cdot {(\frac{3.2 m}{5.2 m})}^{\frac{2}{3}} \cdot \sqrt{1.8}

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Download Proportionate Hydraulic Elements for Circular Sewers Formulas PDF PDF Image

Velocity Ratio given Ratio of Bed Slope Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
νsV_ratio = (N/n_p)*(r_pf/R_rf)^(2/3)*sqrt(S)
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

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 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.
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

Roughness Coefficient for Running Full: 0.74 --> No Conversion Required
Roughness Coefficient Partially Full: 0.9 --> No Conversion Required
Hydraulic Mean Depth for Partially Full: 3.2 Meter --> 3.2 Meter No Conversion Required
Hydraulic Mean Depth while Running Full: 5.2 Meter --> 5.2 Meter No Conversion Required
Bed Slope Ratio: 1.8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

νsV_ratio = (N/n_p)*(r_pf/R_rf)^(2/3)*sqrt(S) --> (0.74/0.9)*(3.2/5.2)^(2/3)*sqrt(1.8)

Evaluating ... ...

νsV_ratio = 0.798098606708035

STEP 3: Convert Result to Output's Unit

0.798098606708035 --> No Conversion Required

FINAL ANSWER

0.798098606708035 ≈ 0.798099 <-- Velocity Ratio

(Calculation completed in 00.004 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 Ratio of Bed Slope

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Created by Suraj Kumar

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 Ratio of Bed Slope Formula

What is Bed Slope?

The Slope of Bed is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow. It is widely used in river engineering.

How to Calculate Velocity Ratio given Ratio of Bed Slope?

Velocity Ratio given Ratio of Bed Slope calculator uses 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) to calculate the Velocity Ratio, The Velocity Ratio given Ratio of Bed Slope 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 Ratio of Bed Slope using this online calculator? To use this online calculator for Velocity Ratio given Ratio of Bed Slope, enter Roughness Coefficient for Running Full (N), Roughness Coefficient Partially Full (n_p), Hydraulic Mean Depth for Partially Full (r_pf), Hydraulic Mean Depth while Running Full (R_rf) & Bed Slope Ratio (S) and hit the calculate button. Here is how the Velocity Ratio given Ratio of Bed Slope calculation can be explained with given input values -> 0.798099 = (0.74/0.9)*(3.2/5.2)^(2/3)*sqrt(1.8).

FAQ

What is Velocity Ratio given Ratio of Bed Slope?

The Velocity Ratio given Ratio of Bed Slope 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_pf/R_rf)^(2/3)*sqrt(S) or 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). 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, 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 refers to the ratio of the pipe's full cross-sectional area to its full wetted perimeter & The Bed Slope Ratio refers to the slope of a partially full pipe to the slope when it is completely full.

How to calculate Velocity Ratio given Ratio of Bed Slope?

The Velocity Ratio given Ratio of Bed Slope 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 for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)*sqrt(Bed Slope Ratio). To calculate Velocity Ratio given Ratio of Bed Slope, you need Roughness Coefficient for Running Full (N), Roughness Coefficient Partially Full (n_p), Hydraulic Mean Depth for Partially Full (r_pf), Hydraulic Mean Depth while Running Full (R_rf) & Bed Slope Ratio (S). With our tool, you need to enter the respective value for Roughness Coefficient for Running Full, Roughness Coefficient Partially Full, Hydraulic Mean Depth for Partially Full, Hydraulic Mean Depth while Running 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 Velocity Ratio?

In this formula, Velocity Ratio uses Roughness Coefficient for Running Full, Roughness Coefficient Partially Full, Hydraulic Mean Depth for Partially Full, Hydraulic Mean Depth while Running Full & Bed Slope 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 Ratio)^(1/6))

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