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Velocity when Running Full 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 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%
✖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 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 Ratio of Bed Slope [V]

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Velocity when Running Full using Ratio of Bed Slope 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 Ratio))
V = V_s/((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 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 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 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 Ratio: 1.8 --> 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)) --> 4.6/((0.74/0.9)*(3.2/5.2)^(2/3)*sqrt(1.8))

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 00.008 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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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 when Running Full using Ratio of Bed Slope Formula

LaTeX Go

What is Self-Cleansing Velocity?

The criterion for self-cleansing was defined as the minimum velocity needed to prevent the formation of separated dunes in the pipes. For a given sediment concentration the self-cleansing velocity was found to be a maximum at pipe slopes between about 30° and 37.5°.

How to Calculate Velocity when Running Full using Ratio of Bed Slope?

Velocity when Running Full using Ratio of Bed Slope 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 Ratio)) to calculate the Velocity While Running Full, The Velocity when Running Full using Ratio of Bed Slope 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 Ratio of Bed Slope using this online calculator? To use this online calculator for Velocity when Running Full using Ratio of Bed Slope, 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 Ratio (S) and hit the calculate button. Here is how the Velocity when Running Full using Ratio of Bed Slope calculation can be explained with given input values -> 2.505956 = self_cleansing_velocity/((0.74/0.9)*(3.2/5.2)^(2/3)*sqrt(1.8)).

FAQ

What is Velocity when Running Full using Ratio of Bed Slope?

The Velocity when Running Full using Ratio of Bed Slope 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)) 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 Ratio)). 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 & 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 when Running Full using Ratio of Bed Slope?

The Velocity when Running Full using Ratio of Bed Slope 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 Ratio)). To calculate Velocity when Running Full using Ratio of Bed Slope, 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 Ratio (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 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 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 Ratio. 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 of Partial Flow/Bed Slope of Channel))

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