Self Cleansing Velocity given Hydraulic Mean Depth Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
Vs = V*(N/np)*(R)^(1/6)
This formula uses 5 Variables
Variables Used
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.
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
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
Hydraulic Mean Depth Ratio: 0.61 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vs = V*(N/np)*(R)^(1/6) --> 6.01*(0.74/0.9)*(0.61)^(1/6)
Evaluating ... ...
Vs = 4.55077455852852
STEP 3: Convert Result to Output's Unit
4.55077455852852 Meter per Second --> No Conversion Required
FINAL ANSWER
4.55077455852852 4.550775 Meter per Second <-- Velocity in a Partially Running Sewer
(Calculation completed in 00.020 seconds)

Credits

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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))

Self Cleansing Velocity given Hydraulic Mean Depth Ratio Formula

​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)
Vs = V*(N/np)*(R)^(1/6)

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 Self Cleansing Velocity given Hydraulic Mean Depth Ratio?

Self Cleansing Velocity given Hydraulic Mean Depth Ratio calculator uses 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) to calculate the Velocity in a Partially Running Sewer, Self Cleansing Velocity given Hydraulic Mean Depth Ratio is defined as the minimum speed at which fluid must flow in a sewer to prevent sediment deposition and maintain a clear path. Velocity in a Partially Running Sewer is denoted by Vs symbol.

How to calculate Self Cleansing Velocity given Hydraulic Mean Depth Ratio using this online calculator? To use this online calculator for Self Cleansing Velocity given Hydraulic Mean Depth Ratio, enter Velocity While Running Full (V), Roughness Coefficient for Running Full (N), Roughness Coefficient Partially Full (np) & Hydraulic Mean Depth Ratio (R) and hit the calculate button. Here is how the Self Cleansing Velocity given Hydraulic Mean Depth Ratio calculation can be explained with given input values -> 4.550775 = 6.01*(0.74/0.9)*(0.61)^(1/6).

FAQ

What is Self Cleansing Velocity given Hydraulic Mean Depth Ratio?
Self Cleansing Velocity given Hydraulic Mean Depth Ratio is defined as the minimum speed at which fluid must flow in a sewer to prevent sediment deposition and maintain a clear path and is represented as Vs = V*(N/np)*(R)^(1/6) or 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 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 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 Self Cleansing Velocity given Hydraulic Mean Depth Ratio?
Self Cleansing Velocity given Hydraulic Mean Depth Ratio is defined as the minimum speed at which fluid must flow in a sewer to prevent sediment deposition and maintain a clear path is calculated using 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). To calculate Self Cleansing Velocity given Hydraulic Mean Depth Ratio, you need Velocity While Running Full (V), Roughness Coefficient for Running Full (N), Roughness Coefficient Partially Full (np) & Hydraulic Mean Depth Ratio (R). With our tool, you need to enter the respective value for Velocity While Running Full, 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 in a Partially Running Sewer?
In this formula, Velocity in a Partially Running Sewer uses Velocity While Running Full, Roughness Coefficient for Running Full, Roughness Coefficient Partially Full & Hydraulic Mean Depth Ratio. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • 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 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)^(1/6)
  • 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 of Partial Flow/Bed Slope of Channel))
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