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Ratio of Bed Slope given Velocity Ratio Formula

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

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

S - Bed Slope Ratio?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?

Ratio of Bed Slope given Velocity Ratio Example

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

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

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

1.6322 = {(\frac{0.76}{(\frac{0.74}{0.9}) \cdot {(\frac{3.2}{5.2})}^{\frac{2}{3}}})}^{2}

1.6322 = {(\frac{0.76}{(\frac{0.74}{0.9}) \cdot {(\frac{3.2m}{5.2m})}^{\frac{2}{3}}})}^{2}

1.6322 = {(\frac{0.76}{(\frac{0.74}{0.9}) \cdot {(\frac{3.2}{5.2})}^{\frac{2}{3}}})}^{2}

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Ratio of Bed Slope given Velocity Ratio Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S = {(\frac{0.76}{(\frac{0.74}{0.9}) \cdot {(\frac{3.2m}{5.2m})}^{\frac{2}{3}}})}^{2}

Next Step Prepare to Evaluate

∴

S = {(\frac{0.76}{(\frac{0.74}{0.9}) \cdot {(\frac{3.2}{5.2})}^{\frac{2}{3}}})}^{2}

Next Step Evaluate

∴

S = 1.63224965092651

LAST Step Rounding Answer

∴

S = 1.6322

Ratio of Bed Slope given Velocity Ratio Formula Elements

Variables

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

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

Other formulas in Bed Slope of Circular Sewer category

Go Bed Slope for Full Flow given Bed Slope for Partial Flow

s = \frac{s s \cdot r pf}{R rf}

Go Bed Slope for Full Flow given Velocity Ratio

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

Go Bed Slope for Partial Flow

s s = \frac{R rf \cdot s}{r pf}

Go Bed Slope for Partial Flow given Velocity Ratio

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

How to Evaluate Ratio of Bed Slope given Velocity Ratio?

Ratio of Bed Slope given Velocity Ratio evaluator uses Bed Slope Ratio = (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 evaluate 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 S symbol.

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

FAQs on Ratio of Bed Slope given Velocity Ratio

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

The formula of Ratio of Bed Slope given Velocity Ratio is expressed as Bed Slope Ratio = (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. Here is an example- 11.30367 = (velocity_ratio_/((0.74/0.9)*(3.2/5.2)^(2/3)))^2.

How to calculate Ratio of Bed Slope given Velocity Ratio?

With Velocity Ratio (νsV_ratio), 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) we can find Ratio of Bed Slope given Velocity Ratio using the formula - Bed Slope Ratio = (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.

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Ratio of Bed Slope given Velocity Ratio Formula

Ratio of Bed Slope given Velocity Ratio Example

Ratio of Bed Slope given Velocity Ratio Solution

Ratio of Bed Slope given Velocity Ratio Formula Elements

Other formulas in Bed Slope of Circular Sewer category

How to Evaluate Ratio of Bed Slope given Velocity Ratio?

FAQs on Ratio of Bed Slope given Velocity Ratio

Variable Name