Bed Slope for Partial Flow given Velocity Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
ss = s*(νsVratio/((N/np)*(rpf/Rrf)^(2/3)))^2
This formula uses 7 Variables
Variables Used
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.
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 Channel: 0.001 --> 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
ss = s*(νsVratio/((N/np)*(rpf/Rrf)^(2/3)))^2 --> 0.001*(0.76/((0.74/0.9)*(3.2/5.2)^(2/3)))^2
Evaluating ... ...
ss = 0.00163224965092651
STEP 3: Convert Result to Output's Unit
0.00163224965092651 --> No Conversion Required
FINAL ANSWER
0.00163224965092651 0.001632 <-- Bed Slope of Partial Flow
(Calculation completed in 00.004 seconds)

Credits

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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 Partial Flow given Velocity Ratio Formula

​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
ss = s*(νsVratio/((N/np)*(rpf/Rrf)^(2/3)))^2

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 Bed Slope for Partial Flow given Velocity Ratio?

Bed Slope for Partial Flow given Velocity Ratio calculator uses 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 to calculate the Bed Slope of Partial Flow, Bed Slope for Partial 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 Partial Flow is denoted by ss symbol.

How to calculate Bed Slope for Partial Flow given Velocity Ratio using this online calculator? To use this online calculator for Bed Slope for Partial Flow given Velocity Ratio, enter Bed Slope of Channel (s), Velocity Ratio (νsVratio), Roughness Coefficient for Running Full (N), Roughness Coefficient Partially Full (np), Hydraulic Mean Depth for Partially Full (rpf) & Hydraulic Mean Depth while Running Full (Rrf) and hit the calculate button. Here is how the Bed Slope for Partial Flow given Velocity Ratio calculation can be explained with given input values -> 0.001632 = 0.001*(0.76/((0.74/0.9)*(3.2/5.2)^(2/3)))^2.

FAQ

What is Bed Slope for Partial Flow given Velocity Ratio?
Bed Slope for Partial 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 ss = s*(νsVratio/((N/np)*(rpf/Rrf)^(2/3)))^2 or 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 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, 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 Partial Flow given Velocity Ratio?
Bed Slope for Partial 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 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. To calculate Bed Slope for Partial Flow given Velocity Ratio, you need Bed Slope of Channel (s), Velocity Ratio (νsVratio), Roughness Coefficient for Running Full (N), Roughness Coefficient Partially Full (np), Hydraulic Mean Depth for Partially Full (rpf) & Hydraulic Mean Depth while Running Full (Rrf). With our tool, you need to enter the respective value for 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 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 Partial Flow?
In this formula, Bed Slope of Partial Flow uses 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. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Bed Slope of Partial Flow = (Hydraulic Mean Depth while Running Full*Bed Slope of Channel)/Hydraulic Mean Depth for Partially Full
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