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Bed Slope for Full Flow given Velocity Ratio Calculator

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Bed Slope of Circular Sewer Area of Cross Section of Circular Sewer Discharge and Discharge Ratio through Circular Sewer Flow Velocity through Circular Sewer

✖Bed Slope of Partial Flow means the slope at which partial flow is occurring.ⓘ Bed Slope of Partial Flow [s_s]			+10% -10%
✖The Velocity Ratio compares the flow velocity in a partially full pipe to that in a fully running pipe.ⓘ Velocity Ratio [νsV_ratio]			+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 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 for Full Flow given Velocity Ratio [s]

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Bed Slope for Full Flow given Velocity Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bed Slope of Channel = Bed Slope of Partial Flow/(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)))^2
s = s_s/(νsV_ratio/((N/n_p)*(r_pf/R_rf)^(2/3)))^2
This formula uses 7 Variables

Variables Used

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.
Bed Slope of Partial Flow - Bed Slope of Partial Flow means the slope at which partial flow is occurring.
Velocity Ratio - The Velocity Ratio compares the flow velocity in a partially full pipe to that in a fully running pipe.
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.

STEP 1: Convert Input(s) to Base Unit

Bed Slope of Partial Flow: 0.0018 --> No Conversion Required
Velocity Ratio: 0.76 --> 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

s = s_s/(νsV_ratio/((N/n_p)*(r_pf/R_rf)^(2/3)))^2 --> 0.0018/(0.76/((0.74/0.9)*(3.2/5.2)^(2/3)))^2

Evaluating ... ...

s = 0.00110277248273772

STEP 3: Convert Result to Output's Unit

0.00110277248273772 --> No Conversion Required

FINAL ANSWER

0.00110277248273772 ≈ 0.001103 <-- Bed Slope of Channel

(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 » Bed Slope of Circular Sewer » Bed Slope for Full Flow given Velocity Ratio

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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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< Bed Slope of Circular Sewer Calculators

Bed Slope for Partial Flow given Velocity Ratio

LaTeX Go Bed Slope of Partial Flow = Bed Slope of Channel*(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)))^2

Bed Slope for Full Flow given Velocity Ratio

LaTeX Go Bed Slope of Channel = Bed Slope of Partial Flow/(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)))^2

Bed Slope for Full Flow given Bed Slope for Partial Flow

LaTeX Go Bed Slope of Channel = (Bed Slope of Partial Flow*Hydraulic Mean Depth for Partially Full)/Hydraulic Mean Depth while Running Full

Bed Slope for Partial Flow

LaTeX Go Bed Slope of Partial Flow = (Hydraulic Mean Depth while Running Full*Bed Slope of Channel)/Hydraulic Mean Depth for Partially Full

Bed Slope for Full Flow given Velocity Ratio 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 Bed Slope for Full Flow given Velocity Ratio?

Bed Slope for Full Flow given Velocity Ratio calculator uses Bed Slope of Channel = Bed Slope of Partial Flow/(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)))^2 to calculate the Bed Slope of Channel, The Bed Slope for Full Flow given Velocity Ratio is defined as 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 is denoted by s symbol.

How to calculate Bed Slope for Full Flow given Velocity Ratio using this online calculator? To use this online calculator for Bed Slope for Full Flow given Velocity Ratio, enter Bed Slope of Partial Flow (s_s), Velocity Ratio (νsV_ratio), 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) and hit the calculate button. Here is how the Bed Slope for Full Flow given Velocity Ratio calculation can be explained with given input values -> 1.225303 = bed_slope_of_partial_flow/(0.76/((0.74/0.9)*(3.2/5.2)^(2/3)))^2.

FAQ

What is Bed Slope for Full Flow given Velocity Ratio?

The Bed Slope for Full Flow given Velocity Ratio is defined as the gradient or incline of a channel's bed, influencing the velocity and direction of water flow, typically measured as a ratio or percentage and is represented as s = s_s/(νsV_ratio/((N/n_p)*(r_pf/R_rf)^(2/3)))^2 or Bed Slope of Channel = Bed Slope of Partial Flow/(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)))^2. Bed Slope of Partial Flow means the slope at which partial flow is occurring, The Velocity Ratio compares the flow velocity in a partially full pipe to that in a fully running pipe, 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.

How to calculate Bed Slope for Full Flow given Velocity Ratio?

The Bed Slope for Full Flow given Velocity Ratio is defined as the gradient or incline of a channel's bed, influencing the velocity and direction of water flow, typically measured as a ratio or percentage is calculated using Bed Slope of Channel = Bed Slope of Partial Flow/(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)))^2. To calculate Bed Slope for Full Flow given Velocity Ratio, you need Bed Slope of Partial Flow (s_s), Velocity Ratio (νsV_ratio), 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). With our tool, you need to enter the respective value for Bed Slope of Partial Flow, Velocity Ratio, Roughness Coefficient for Running Full, Roughness Coefficient Partially Full, Hydraulic Mean Depth for Partially Full & Hydraulic Mean Depth while Running Full 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 Bed Slope of Channel?

In this formula, Bed Slope of Channel uses Bed Slope of Partial Flow, Velocity Ratio, Roughness Coefficient for Running Full, Roughness Coefficient Partially Full, Hydraulic Mean Depth for Partially Full & Hydraulic Mean Depth while Running Full. We can use 1 other way(s) to calculate the same, which is/are as follows -

Bed Slope of Channel = (Bed Slope of Partial Flow*Hydraulic Mean Depth for Partially Full)/Hydraulic Mean Depth while Running Full

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