Bed Slope for Partial Flow Calculator

✖Hydraulic mean depth while running full means hmd of pipe while running full.ⓘ Hydraulic mean depth while running full [R]			+10% -10%
✖Bed slope of the sewer under consideration.ⓘ Bed slope [s]			+10% -10%
✖Hydraulic mean depth while running partially full.ⓘ Hydraulic mean depth [r]			+10% -10%

✖Bed slope of partial flow means the slope at which partial flow is occuring.ⓘ Bed Slope for Partial Flow [s_s]

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Formula

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Bed Slope for Partial Flow

Formula

`"s"_{"s"} = ("R"*"s")/"r"`

Example

`"3.333333"=("5m"*"2")/"3m"`

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Bed Slope for Partial Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bed slope of partial flow = (Hydraulic mean depth while running full*Bed slope)/Hydraulic mean depth
s_s = (R*s)/r
This formula uses 4 Variables

Variables Used

Bed slope of partial flow - Bed slope of partial flow means the slope at which partial flow is occuring.
Hydraulic mean depth while running full - (Measured in Meter) - Hydraulic mean depth while running full means hmd of pipe while running full.
Bed slope - Bed slope of the sewer under consideration.
Hydraulic mean depth - (Measured in Meter) - Hydraulic mean depth while running partially full.

STEP 1: Convert Input(s) to Base Unit

Hydraulic mean depth while running full: 5 Meter --> 5 Meter No Conversion Required
Bed slope: 2 --> No Conversion Required
Hydraulic mean depth: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

s_s = (R*s)/r --> (5*2)/3

Evaluating ... ...

s_s = 3.33333333333333

STEP 3: Convert Result to Output's Unit

3.33333333333333 --> No Conversion Required

FINAL ANSWER

3.33333333333333 ≈ 3.333333 <-- Bed slope of partial flow

(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 Partial Flow

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 5 Bed Slope of Circular Sewer Calculators

Bed Slope for Partial Flow given Velocity Ratio

Go Bed slope of partial flow = Bed slope*(Velocity ratio/((Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(2/3)))^2

Bed Slope for Full Flow given Velocity Ratio

Go Bed slope = Bed slope of partial flow/(Velocity ratio/((Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(2/3)))^2

Ratio of Bed Slope given Velocity Ratio

Go Bed slope ratio = (Velocity ratio/((Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(2/3)))^2

Bed Slope for Full Flow given Bed Slope for Partial Flow

Go Bed slope = (Bed slope of partial flow*Hydraulic mean depth)/Hydraulic mean depth while running full

Bed Slope for Partial Flow

Go Bed slope of partial flow = (Hydraulic mean depth while running full*Bed slope)/Hydraulic mean depth

Bed Slope for Partial Flow Formula

Bed slope of partial flow = (Hydraulic mean depth while running full*Bed slope)/Hydraulic mean depth
s_s = (R*s)/r

What is bed slope ?

The Slope of bed is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow. It is widely used in river engineering.

How to Calculate Bed Slope for Partial Flow?

Bed Slope for Partial Flow calculator uses Bed slope of partial flow = (Hydraulic mean depth while running full*Bed slope)/Hydraulic mean depth to calculate the Bed slope of partial flow, The Bed Slope for Partial Flow is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow. Bed slope of partial flow is denoted by s_s symbol.

How to calculate Bed Slope for Partial Flow using this online calculator? To use this online calculator for Bed Slope for Partial Flow, enter Hydraulic mean depth while running full (R), Bed slope (s) & Hydraulic mean depth (r) and hit the calculate button. Here is how the Bed Slope for Partial Flow calculation can be explained with given input values -> 3.333333 = (5*2)/3.

FAQ

What is Bed Slope for Partial Flow?

The Bed Slope for Partial Flow is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow and is represented as s_s = (R*s)/r or Bed slope of partial flow = (Hydraulic mean depth while running full*Bed slope)/Hydraulic mean depth. Hydraulic mean depth while running full means hmd of pipe while running full, Bed slope of the sewer under consideration & Hydraulic mean depth while running partially full.

How to calculate Bed Slope for Partial Flow?

The Bed Slope for Partial Flow is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow is calculated using Bed slope of partial flow = (Hydraulic mean depth while running full*Bed slope)/Hydraulic mean depth. To calculate Bed Slope for Partial Flow, you need Hydraulic mean depth while running full (R), Bed slope (s) & Hydraulic mean depth (r). With our tool, you need to enter the respective value for Hydraulic mean depth while running full, Bed slope & Hydraulic mean depth 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 Hydraulic mean depth while running full, Bed slope & Hydraulic mean depth. We can use 1 other way(s) to calculate the same, which is/are as follows -

Bed slope of partial flow = Bed slope*(Velocity ratio/((Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(2/3)))^2

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