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Velocity Ratio given Ratio of Bed Slope Formula

GoVelocity Ratio given Hydraulic Mean Depth Ratio Formula

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The Velocity Ratio compares the flow velocity in a partially full pipe to that in a fully running pipe. Check FAQs

νsV ratio = (\frac{N}{n p}) \cdot {(\frac{r pf}{R rf})}^{\frac{2}{3}} \cdot \sqrt{S}

νsV_ratio - Velocity Ratio?N - Roughness Coefficient for Running Full?n_p - Roughness Coefficient Partially Full?r_pf - Hydraulic Mean Depth for Partially Full?R_rf - Hydraulic Mean Depth while Running Full?S - Bed Slope Ratio?

Velocity Ratio given Ratio of Bed Slope Example

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Here is how the Velocity Ratio given Ratio of Bed Slope equation looks like with Values.

Here is how the Velocity Ratio given Ratio of Bed Slope equation looks like with Units.

Here is how the Velocity Ratio given Ratio of Bed Slope equation looks like.

0.7981 = (\frac{0.74}{0.9}) \cdot {(\frac{3.2}{5.2})}^{\frac{2}{3}} \cdot \sqrt{1.8}

0.7981 = (\frac{0.74}{0.9}) \cdot {(\frac{3.2m}{5.2m})}^{\frac{2}{3}} \cdot \sqrt{1.8}

0.7981 = (\frac{0.74}{0.9}) \cdot {(\frac{3.2}{5.2})}^{\frac{2}{3}} \cdot \sqrt{1.8}

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Velocity Ratio given Ratio of Bed Slope Solution

Follow our step by step solution on how to calculate Velocity Ratio given Ratio of Bed Slope?

FIRST Step Consider the formula

νsV ratio = (\frac{N}{n p}) \cdot {(\frac{r pf}{R rf})}^{\frac{2}{3}} \cdot \sqrt{S}

Next Step Substitute values of Variables

∴

νsV ratio = (\frac{0.74}{0.9}) \cdot {(\frac{3.2m}{5.2m})}^{\frac{2}{3}} \cdot \sqrt{1.8}

Next Step Prepare to Evaluate

∴

νsV ratio = (\frac{0.74}{0.9}) \cdot {(\frac{3.2}{5.2})}^{\frac{2}{3}} \cdot \sqrt{1.8}

Next Step Evaluate

∴

νsV ratio = 0.798098606708035

LAST Step Rounding Answer

∴

νsV ratio = 0.7981

Velocity Ratio given Ratio of Bed Slope Formula Elements

Variables

Functions

Velocity Ratio

The Velocity Ratio compares the flow velocity in a partially full pipe to that in a fully running pipe.

Symbol: νsV_ratio

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Velocity Ratio

Roughness Coefficient for Running Full

The Roughness Coefficient for Running Full accounts for uniform surface resistance affecting flow velocity and friction loss.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Roughness Coefficient for Running Full

Roughness Coefficient Partially Full

Roughness Coefficient Partially Full means roughness coefficient of pipe while running partially full.

Symbol: n_p

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Roughness Coefficient Partially Full

Hydraulic Mean Depth for 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.

Symbol: r_pf

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Hydraulic Mean Depth for Partially Full

Hydraulic Mean Depth while Running Full

Hydraulic Mean Depth while Running Full refers to the ratio of the pipe's full cross-sectional area to its full wetted perimeter.

Symbol: R_rf

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Hydraulic Mean Depth while Running Full

Bed Slope Ratio

The Bed Slope Ratio refers to the slope of a partially full pipe to the slope when it is completely full.

Symbol: S

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bed Slope Ratio

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.

Syntax: sqrt(Number)

Other Formulas to find Velocity Ratio

Go Velocity Ratio given Hydraulic Mean Depth Ratio

νsV ratio = ((\frac{N}{n p}) \cdot {(R)}^{\frac{1}{6}})

Other formulas in Flow Velocity through Circular Sewer category

Go Self Cleansing Velocity using Ratio of Bed Slope

V s = V \cdot ((\frac{N}{n p}) \cdot {(\frac{r pf}{R rf})}^{\frac{2}{3}} \cdot \sqrt{S})

Go Self Cleansing Velocity given Hydraulic Mean Depth Ratio

V s = V \cdot (\frac{N}{n p}) \cdot {(R)}^{\frac{1}{6}}

Go Velocity of Full Flow given Hydraulic Mean Depth Ratio

V = \frac{V s}{(\frac{N}{n p}) \cdot {(R)}^{\frac{1}{6}}}

Go Self Cleansing Velocity given Hydraulic Mean Depth for Full Flow

V s = V \cdot (\frac{N}{n p}) \cdot {(\frac{r pf}{R rf})}^{\frac{1}{6}}

How to Evaluate Velocity Ratio given Ratio of Bed Slope?

Velocity Ratio given Ratio of Bed Slope evaluator uses 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)*sqrt(Bed Slope Ratio) to evaluate the Velocity Ratio, The Velocity Ratio given Ratio of Bed Slope is defined as the flow velocity in a partially full pipe to that in a fully running pipe, indicating efficiency differences. Velocity Ratio is denoted by νsV_ratio symbol.

How to evaluate Velocity Ratio given Ratio of Bed Slope using this online evaluator? To use this online evaluator for Velocity Ratio given Ratio of Bed Slope, enter 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) & Bed Slope Ratio (S) and hit the calculate button.

FAQs on Velocity Ratio given Ratio of Bed Slope

What is the formula to find Velocity Ratio given Ratio of Bed Slope?

The formula of Velocity Ratio given Ratio of Bed Slope is expressed as 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)*sqrt(Bed Slope Ratio). Here is an example- 0.798099 = (0.74/0.9)*(3.2/5.2)^(2/3)*sqrt(1.8).

How to calculate Velocity Ratio given Ratio of Bed Slope?

With 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) & Bed Slope Ratio (S) we can find Velocity Ratio given Ratio of Bed Slope using the formula - 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)*sqrt(Bed Slope Ratio). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Velocity Ratio?

Here are the different ways to Calculate Velocity Ratio-

Velocity Ratio=((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Hydraulic Mean Depth Ratio)^(1/6))

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Velocity Ratio given Ratio of Bed Slope Formula

​GoVelocity Ratio given Hydraulic Mean Depth Ratio Formula

Velocity Ratio given Ratio of Bed Slope Example

Velocity Ratio given Ratio of Bed Slope Solution

Velocity Ratio given Ratio of Bed Slope Formula Elements

Other Formulas to find Velocity Ratio

Other formulas in Flow Velocity through Circular Sewer category

How to Evaluate Velocity Ratio given Ratio of Bed Slope?

FAQs on Velocity Ratio given Ratio of Bed Slope

Variable Name

GoVelocity Ratio given Hydraulic Mean Depth Ratio Formula