Ratio of Bed Slope given Velocity Ratio Calculator

✖Velocity ratio is the ratio of velocity of partial flow to full flow.ⓘ Velocity ratio [νsV_ratio]			+10% -10%
✖Roughness coefficient full means roughness coefficient of pipe while running full.ⓘ Roughness coefficient full [N]			+10% -10%
✖Roughness coefficient partially full means roughness coefficient of pipe while running partially full.ⓘ Roughness coefficient partially full [n]			+10% -10%
✖Hydraulic mean depth while running partially full.ⓘ Hydraulic mean depth [r]			+10% -10%
✖Hydraulic mean depth while running full means hmd of pipe while running full.ⓘ Hydraulic mean depth while running full [R]			+10% -10%

✖Bed slope ratio is the ratio of bed slope of partial flow to full flow.ⓘ Ratio of Bed Slope given Velocity Ratio [soS_ratio]

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Formula

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Ratio of Bed Slope given Velocity Ratio

Formula

`"soS"_{"ratio"} = ("νsV"_{"ratio"}/(("N"/"n")*("r"/"R")^(2/3)))^2`

Example

`"6.804557"=("2"/(("0.97"/"0.9")*("3m"/"5m")^(2/3)))^2`

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Ratio of Bed Slope given Velocity Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bed slope ratio = (Velocity ratio/((Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(2/3)))^2
soS_ratio = (νsV_ratio/((N/n)*(r/R)^(2/3)))^2
This formula uses 6 Variables

Variables Used

Bed slope ratio - Bed slope ratio is the ratio of bed slope of partial flow to full flow.
Velocity ratio - Velocity ratio is the ratio of velocity of partial flow to full flow.
Roughness coefficient full - Roughness coefficient full means roughness coefficient of pipe while running full.
Roughness coefficient partially full - Roughness coefficient partially full means roughness coefficient of pipe while running partially full.
Hydraulic mean depth - (Measured in Meter) - Hydraulic mean depth while running partially full.
Hydraulic mean depth while running full - (Measured in Meter) - Hydraulic mean depth while running full means hmd of pipe while running full.

STEP 1: Convert Input(s) to Base Unit

Velocity ratio: 2 --> No Conversion Required
Roughness coefficient full: 0.97 --> No Conversion Required
Roughness coefficient partially full: 0.9 --> No Conversion Required
Hydraulic mean depth: 3 Meter --> 3 Meter No Conversion Required
Hydraulic mean depth while running full: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

soS_ratio = (νsV_ratio/((N/n)*(r/R)^(2/3)))^2 --> (2/((0.97/0.9)*(3/5)^(2/3)))^2

Evaluating ... ...

soS_ratio = 6.80455728353928

STEP 3: Convert Result to Output's Unit

6.80455728353928 --> No Conversion Required

FINAL ANSWER

6.80455728353928 ≈ 6.804557 <-- Bed slope ratio

(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 » Ratio of Bed Slope given Velocity Ratio

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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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

Ratio of Bed Slope given Velocity Ratio Formula

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 Ratio of Bed Slope given Velocity Ratio?

Ratio of Bed Slope given Velocity Ratio calculator uses Bed slope ratio = (Velocity ratio/((Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(2/3)))^2 to calculate the Bed slope ratio, The Ratio of Bed Slope given Velocity Ratio calculates the ratio of bed slope of partial flow to bed slope of full flow. Bed slope ratio is denoted by soS_ratio symbol.

How to calculate Ratio of Bed Slope given Velocity Ratio using this online calculator? To use this online calculator for Ratio of Bed Slope given Velocity Ratio, enter Velocity ratio (νsV_ratio), Roughness coefficient full (N), Roughness coefficient partially full (n), Hydraulic mean depth (r) & Hydraulic mean depth while running full (R) and hit the calculate button. Here is how the Ratio of Bed Slope given Velocity Ratio calculation can be explained with given input values -> 6.804557 = (2/((0.97/0.9)*(3/5)^(2/3)))^2.

FAQ

What is Ratio of Bed Slope given Velocity Ratio?

The Ratio of Bed Slope given Velocity Ratio calculates the ratio of bed slope of partial flow to bed slope of full flow and is represented as soS_ratio = (νsV_ratio/((N/n)*(r/R)^(2/3)))^2 or Bed slope ratio = (Velocity ratio/((Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(2/3)))^2. Velocity ratio is the ratio of velocity of partial flow to full flow, Roughness coefficient full means roughness coefficient of pipe while running full, Roughness coefficient partially full means roughness coefficient of pipe while running partially full, Hydraulic mean depth while running partially full & Hydraulic mean depth while running full means hmd of pipe while running full.

How to calculate Ratio of Bed Slope given Velocity Ratio?

The Ratio of Bed Slope given Velocity Ratio calculates the ratio of bed slope of partial flow to bed slope of full flow is calculated using Bed slope ratio = (Velocity ratio/((Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(2/3)))^2. To calculate Ratio of Bed Slope given Velocity Ratio, you need Velocity ratio (νsV_ratio), Roughness coefficient full (N), Roughness coefficient partially full (n), Hydraulic mean depth (r) & Hydraulic mean depth while running full (R). With our tool, you need to enter the respective value for Velocity ratio, Roughness coefficient full, Roughness coefficient partially full, Hydraulic mean depth & 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.

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