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)
νsVratio = (N/np)*(rpf/Rrf)^(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
νsVratio = (N/np)*(rpf/Rrf)^(2/3)*sqrt(S) --> (0.74/0.9)*(3.2/5.2)^(2/3)*sqrt(1.8)
Evaluating ... ...
νsVratio = 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 00.020 seconds)

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Meerut Institute of Engineering and Technology (MIET), Meerut
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Flow Velocity through Circular Sewer Calculators

Self Cleansing Velocity using Ratio of Bed Slope
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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

​LaTeX ​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)
νsVratio = (N/np)*(rpf/Rrf)^(2/3)*sqrt(S)

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 νsVratio 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 (np), Hydraulic Mean Depth for Partially Full (rpf), Hydraulic Mean Depth while Running Full (Rrf) & 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 νsVratio = (N/np)*(rpf/Rrf)^(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 (np), Hydraulic Mean Depth for Partially Full (rpf), Hydraulic Mean Depth while Running Full (Rrf) & 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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