Velocity Ratio given Ratio of Bed Slope Calculator

✖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.ⓘ Bed slope ratio [soS_ratio]			+10% -10%

✖Velocity ratio is the ratio of velocity of partial flow to full flow.ⓘ Velocity Ratio given Ratio of Bed Slope [νsV_ratio]

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Formula

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Velocity Ratio given Ratio of Bed Slope

Formula

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

Example

`"0.939022"=("0.97"/"0.9")*("3m"/"5m")^(2/3)*sqrt("1.5")`

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Velocity Ratio given Ratio of Bed Slope Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity ratio = (Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(2/3)*sqrt(Bed slope ratio)
νsV_ratio = (N/n)*(r/R)^(2/3)*sqrt(soS_ratio)
This formula uses 1 Functions, 6 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 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.
Bed slope ratio - Bed slope ratio is the ratio of bed slope of partial flow to full flow.

STEP 1: Convert Input(s) to Base Unit

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
Bed slope ratio: 1.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

νsV_ratio = (N/n)*(r/R)^(2/3)*sqrt(soS_ratio) --> (0.97/0.9)*(3/5)^(2/3)*sqrt(1.5)

Evaluating ... ...

νsV_ratio = 0.93902182839521

STEP 3: Convert Result to Output's Unit

0.93902182839521 --> No Conversion Required

FINAL ANSWER

0.93902182839521 ≈ 0.939022 <-- Velocity ratio

(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< 10+ Flow Velocity through Circular Sewer Calculators

Velocity when Running Full using Bed Slope for Partial Flow

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

Self Cleansing Velocity given Bed Slope for Partial Flow

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

Velocity when Running Full using Ratio of Bed Slope

Self Cleansing Velocity using Ratio of Bed Slope

Velocity Ratio given Ratio of Bed Slope

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

Velocity of Full Flow given Hydraulic Mean Depth for Full Flow

Go Velocity while running full = Self Cleansing Velocity/((Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(1/6))

Self Cleansing Velocity given Hydraulic Mean Depth for Full Flow

Go Self Cleansing Velocity = Velocity while running full*(Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(1/6)

Velocity of Full Flow given Hydraulic Mean Depth Ratio

Go Velocity while running full = Self Cleansing Velocity/((Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth ratio)^(1/6))

Self Cleansing Velocity given Hydraulic Mean Depth Ratio

Go Self Cleansing Velocity = Velocity while running full*(Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth ratio)^(1/6)

Velocity Ratio given Hydraulic Mean Depth Ratio

Go Velocity ratio = ((Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth ratio)^(1/6))

Velocity Ratio given Ratio of Bed Slope 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 Velocity Ratio given Ratio of Bed Slope?

Velocity Ratio given Ratio of Bed Slope calculator uses Velocity ratio = (Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(2/3)*sqrt(Bed slope ratio) to calculate the Velocity ratio, The Velocity Ratio given Ratio of Bed Slope calculates the ratio of velocity of partial flow to full flow when we have prior information of ither parameters. Velocity ratio is denoted by νsV_ratio symbol.

How to calculate Velocity Ratio given Ratio of Bed Slope using this online calculator? To use this online calculator for Velocity Ratio given Ratio of Bed Slope, enter Roughness coefficient full (N), Roughness coefficient partially full (n), Hydraulic mean depth (r), Hydraulic mean depth while running full (R) & Bed slope ratio (soS_ratio) and hit the calculate button. Here is how the Velocity Ratio given Ratio of Bed Slope calculation can be explained with given input values -> 0.939022 = (0.97/0.9)*(3/5)^(2/3)*sqrt(1.5).

FAQ

What is Velocity Ratio given Ratio of Bed Slope?

The Velocity Ratio given Ratio of Bed Slope calculates the ratio of velocity of partial flow to full flow when we have prior information of ither parameters and is represented as νsV_ratio = (N/n)*(r/R)^(2/3)*sqrt(soS_ratio) or Velocity ratio = (Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(2/3)*sqrt(Bed slope ratio). 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 & Bed slope ratio is the ratio of bed slope of partial flow to full flow.

How to calculate Velocity Ratio given Ratio of Bed Slope?

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

In this formula, Velocity ratio uses Roughness coefficient full, Roughness coefficient partially full, Hydraulic mean depth, Hydraulic mean depth while running full & Bed slope ratio. We can use 1 other way(s) to calculate the same, which is/are as follows -

Velocity ratio = ((Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth ratio)^(1/6))

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