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Self Cleansing Velocity given Bed Slope for Partial Flow 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%
✖Bed Slope of Partial Flow means the slope at which partial flow is occurring.ⓘ Bed Slope of Partial Flow [s_s]			+10% -10%
✖Bed Slope of Channel refers to the gradient or incline of a channel's bed, influencing the velocity and direction of water flow, typically measured as a ratio or percentage.ⓘ Bed Slope of Channel [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 given Bed Slope for Partial Flow [V_s]

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Formula

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Self Cleansing Velocity given Bed Slope for Partial Flow

Formula

V s = V \cdot ((\frac{N}{n p}) \cdot {(\frac{r pf}{R rf})}^{\frac{2}{3}} \cdot \sqrt{\frac{s s}{s}})

Example

4.796573 m/s = 6.01 m/s \cdot ((\frac{0.74}{0.9}) \cdot {(\frac{3.2 m}{5.2 m})}^{\frac{2}{3}} \cdot \sqrt{\frac{0.0018}{0.001}})

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Download Proportionate Hydraulic Elements for Circular Sewers Formulas PDF PDF Image

Self Cleansing Velocity given Bed Slope for Partial Flow 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 of Partial Flow/Bed Slope of Channel))
V_s = V*((N/n_p)*(r_pf/R_rf)^(2/3)*sqrt(s_s/s))
This formula uses 1 Functions, 8 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 of Partial Flow - Bed Slope of Partial Flow means the slope at which partial flow is occurring.
Bed Slope of Channel - Bed Slope of Channel refers to the gradient or incline of a channel's bed, influencing the velocity and direction of water flow, typically measured as a ratio or percentage.

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 of Partial Flow: 0.0018 --> No Conversion Required
Bed Slope of Channel: 0.001 --> 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_s/s)) --> 6.01*((0.74/0.9)*(3.2/5.2)^(2/3)*sqrt(0.0018/0.001))

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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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 » Self Cleansing Velocity given Bed Slope for Partial Flow

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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))

Self Cleansing Velocity given Bed Slope for Partial Flow Formula

What is Velocity Ratio?

The Velocity Ratio compares the flow velocity in a partially full pipe to that in a fully running pipe. It helps evaluate the efficiency of fluid transport under varying conditions, influenced by factors like pipe slope, roughness, and hydraulic mean depth. This ratio is essential in designing sewer systems to ensure they function effectively across different flow levels, preventing issues like sedimentation or overflow.

How to Calculate Self Cleansing Velocity given Bed Slope for Partial Flow?

Self Cleansing Velocity given Bed Slope for Partial Flow 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 of Partial Flow/Bed Slope of Channel)) to calculate the Velocity in a Partially Running Sewer, Self Cleansing Velocity given Bed Slope for Partial Flow formula is defined is 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 given Bed Slope for Partial Flow using this online calculator? To use this online calculator for Self Cleansing Velocity given Bed Slope for Partial Flow, 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 of Partial Flow (s_s) & Bed Slope of Channel (s) and hit the calculate button. Here is how the Self Cleansing Velocity given Bed Slope for Partial Flow calculation can be explained with given input values -> 159.8858 = 6.01*((0.74/0.9)*(3.2/5.2)^(2/3)*sqrt(bed_slope_of_partial_flow/0.001)).

FAQ

What is Self Cleansing Velocity given Bed Slope for Partial Flow?

Self Cleansing Velocity given Bed Slope for Partial Flow formula is defined is 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_s/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 of Partial Flow/Bed Slope of Channel)). 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, Bed Slope of Partial Flow means the slope at which partial flow is occurring & Bed Slope of Channel refers to the gradient or incline of a channel's bed, influencing the velocity and direction of water flow, typically measured as a ratio or percentage.

How to calculate Self Cleansing Velocity given Bed Slope for Partial Flow?

Self Cleansing Velocity given Bed Slope for Partial Flow formula is defined is 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 of Partial Flow/Bed Slope of Channel)). To calculate Self Cleansing Velocity given Bed Slope for Partial Flow, 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 of Partial Flow (s_s) & Bed Slope of Channel (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 of Partial Flow & Bed Slope of Channel 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 of Partial Flow & Bed Slope of Channel. 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 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)

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