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Velocity when Running Full using 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 in a Partially Running Sewer is the speed of flow when the sewer isn't fully filled, influenced by depth and slope.ⓘ Velocity in a Partially Running Sewer [V_s]			+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 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 when Running Full using Bed Slope for Partial Flow [V]

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Formula

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Velocity when Running Full using Bed Slope for Partial Flow

Formula

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

Example

5.763699 m/s = \frac{4.6 m/s}{(\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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Velocity when Running Full using Bed Slope for Partial Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity While Running Full = Velocity in a Partially Running Sewer/((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 = V_s/((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 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.
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.
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 in a Partially Running Sewer: 4.6 Meter per Second --> 4.6 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 = V_s/((N/n_p)*(r_pf/R_rf)^(2/3)*sqrt(s_s/s)) --> 4.6/((0.74/0.9)*(3.2/5.2)^(2/3)*sqrt(0.0018/0.001))

Evaluating ... ...

V = 5.76369882284834

STEP 3: Convert Result to Output's Unit

5.76369882284834 Meter per Second --> No Conversion Required

FINAL ANSWER

5.76369882284834 ≈ 5.763699 Meter per Second <-- Velocity While Running Full

(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 when Running Full using 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))

Velocity when Running Full using 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 Velocity when Running Full using Bed Slope for Partial Flow?

Velocity when Running Full using Bed Slope for Partial Flow calculator uses Velocity While Running Full = Velocity in a Partially Running Sewer/((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 While Running Full, The Velocity when Running Full using Bed Slope for Partial Flow is defined as the speed of fluid flow in a pipe when it's completely filled, influenced by pipe slope and roughness. Velocity While Running Full is denoted by V symbol.

How to calculate Velocity when Running Full using Bed Slope for Partial Flow using this online calculator? To use this online calculator for Velocity when Running Full using Bed Slope for Partial Flow, enter Velocity in a Partially Running Sewer (V_s), 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 Velocity when Running Full using Bed Slope for Partial Flow calculation can be explained with given input values -> 0.172911 = 4.6/((0.74/0.9)*(3.2/5.2)^(2/3)*sqrt(bed_slope_of_partial_flow/0.001)).

FAQ

What is Velocity when Running Full using Bed Slope for Partial Flow?

The Velocity when Running Full using Bed Slope for Partial Flow is defined as the speed of fluid flow in a pipe when it's completely filled, influenced by pipe slope and roughness and is represented as V = V_s/((N/n_p)*(r_pf/R_rf)^(2/3)*sqrt(s_s/s)) or Velocity While Running Full = Velocity in a Partially Running Sewer/((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 in a Partially Running Sewer is the speed of flow when the sewer isn't fully filled, influenced by depth and slope, 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 Velocity when Running Full using Bed Slope for Partial Flow?

The Velocity when Running Full using Bed Slope for Partial Flow is defined as the speed of fluid flow in a pipe when it's completely filled, influenced by pipe slope and roughness is calculated using Velocity While Running Full = Velocity in a Partially Running Sewer/((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 Velocity when Running Full using Bed Slope for Partial Flow, you need Velocity in a Partially Running Sewer (V_s), 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 in a Partially Running Sewer, 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 While Running Full?

In this formula, Velocity While Running Full uses Velocity in a Partially Running Sewer, 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 While Running Full = Velocity in a Partially Running Sewer/((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Hydraulic Mean Depth Ratio)^(1/6))
Velocity While Running Full = Velocity in a Partially Running Sewer/((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(1/6))
Velocity While Running Full = Velocity in a Partially Running Sewer/((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))

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