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Self Cleansing Velocity using 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

✖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.ⓘ Velocity While Running Full [V]			+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%
✖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%

✖Velocity in a Partially Running Sewer is the speed of flow when the sewer isn't fully filled, influenced by depth and slope.ⓘ Self Cleansing Velocity using Ratio of Bed Slope [V_s]

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Self Cleansing Velocity using Ratio of Bed Slope 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 for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)*sqrt(Bed Slope Ratio))
V_s = V*((N/n_p)*(r_pf/R_rf)^(2/3)*sqrt(S))
This formula uses 1 Functions, 7 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 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 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

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 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

V_s = V*((N/n_p)*(r_pf/R_rf)^(2/3)*sqrt(S)) --> 6.01*((0.74/0.9)*(3.2/5.2)^(2/3)*sqrt(1.8))

Evaluating ... ...

V_s = 4.79657262631529

STEP 3: Convert Result to Output's Unit

4.79657262631529 Meter per Second --> No Conversion Required

FINAL ANSWER

4.79657262631529 ≈ 4.796573 Meter per Second <-- Velocity in a Partially Running Sewer

(Calculation completed in 00.004 seconds)

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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 using Ratio of Bed Slope Formula

LaTeX Go

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 using Ratio of Bed Slope?

Self Cleansing Velocity using Ratio of Bed Slope calculator uses 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)) to calculate the Velocity in a Partially Running Sewer, The Self Cleansing Velocity using Ratio of Bed Slope 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 V_s symbol.

How to calculate Self Cleansing Velocity using Ratio of Bed Slope using this online calculator? To use this online calculator for Self Cleansing Velocity using Ratio of Bed Slope, enter Velocity While Running Full (V), 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 Self Cleansing Velocity using Ratio of Bed Slope calculation can be explained with given input values -> 4.796573 = 6.01*((0.74/0.9)*(3.2/5.2)^(2/3)*sqrt(1.8)).

FAQ

What is Self Cleansing Velocity using Ratio of Bed Slope?

The Self Cleansing Velocity using Ratio of Bed Slope 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 V_s = V*((N/n_p)*(r_pf/R_rf)^(2/3)*sqrt(S)) or 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 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, 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 Self Cleansing Velocity using Ratio of Bed Slope?

The Self Cleansing Velocity using Ratio of Bed Slope 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 for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)*sqrt(Bed Slope Ratio)). To calculate Self Cleansing Velocity using Ratio of Bed Slope, you need Velocity While Running Full (V), 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 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 & 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 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 for Partially Full, Hydraulic Mean Depth while Running Full & Bed Slope 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 Ratio)^(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)^(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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