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Bed Slope for Partial Flow given Velocity Ratio Formula

GoBed Slope for Partial Flow Formula

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Bed Slope of Partial Flow means the slope at which partial flow is occurring. Check FAQs

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

s_s - Bed Slope of Partial Flow?s - Bed Slope of Channel?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?

Bed Slope for Partial Flow given Velocity Ratio Example

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Here is how the Bed Slope for Partial Flow given Velocity Ratio equation looks like with Values.

Here is how the Bed Slope for Partial Flow given Velocity Ratio equation looks like with Units.

Here is how the Bed Slope for Partial Flow given Velocity Ratio equation looks like.

0.0016 = 0.001 \cdot {(\frac{0.76}{(\frac{0.74}{0.9}) \cdot {(\frac{3.2}{5.2})}^{\frac{2}{3}}})}^{2}

0.0016 = 0.001 \cdot {(\frac{0.76}{(\frac{0.74}{0.9}) \cdot {(\frac{3.2m}{5.2m})}^{\frac{2}{3}}})}^{2}

0.0016 = 0.001 \cdot {(\frac{0.76}{(\frac{0.74}{0.9}) \cdot {(\frac{3.2}{5.2})}^{\frac{2}{3}}})}^{2}

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Bed Slope for Partial Flow given Velocity Ratio Solution

Follow our step by step solution on how to calculate Bed Slope for Partial Flow given Velocity Ratio?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

s s = 0.001 \cdot {(\frac{0.76}{(\frac{0.74}{0.9}) \cdot {(\frac{3.2m}{5.2m})}^{\frac{2}{3}}})}^{2}

Next Step Prepare to Evaluate

∴

s s = 0.001 \cdot {(\frac{0.76}{(\frac{0.74}{0.9}) \cdot {(\frac{3.2}{5.2})}^{\frac{2}{3}}})}^{2}

Next Step Evaluate

∴

s s = 0.00163224965092651

LAST Step Rounding Answer

∴

s s = 0.0016

Bed Slope for Partial Flow given Velocity Ratio Formula Elements

Variables

Bed Slope of Partial Flow

Bed Slope of Partial Flow means the slope at which partial flow is occurring.

Symbol: s_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bed Slope of Partial Flow

Bed Slope of Channel

Bed Slope of Channel refers to the gradient or incline of a channel's bed, influencing the velocity and direction of water flow, typically measured as a ratio or percentage.

Symbol: s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bed Slope of Channel

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 to find Bed Slope of Partial Flow

Go Bed Slope for Partial Flow

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

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}}

How to Evaluate Bed Slope for Partial Flow given Velocity Ratio?

Bed Slope for Partial Flow given Velocity Ratio evaluator uses Bed Slope of Partial Flow = Bed Slope of Channel*(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 of Partial Flow, Bed Slope for Partial Flow given Velocity Ratio is defined as the gradient or incline of a channel's bed, influencing the velocity and direction of water flow, typically measured as a ratio or percentage. Bed Slope of Partial Flow is denoted by s_s symbol.

How to evaluate Bed Slope for Partial Flow given Velocity Ratio using this online evaluator? To use this online evaluator for Bed Slope for Partial Flow given Velocity Ratio, enter Bed Slope of Channel (s), 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 Bed Slope for Partial Flow given Velocity Ratio

What is the formula to find Bed Slope for Partial Flow given Velocity Ratio?

The formula of Bed Slope for Partial Flow given Velocity Ratio is expressed as Bed Slope of Partial Flow = Bed Slope of Channel*(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- 0.001632 = 0.001*(0.76/((0.74/0.9)*(3.2/5.2)^(2/3)))^2.

How to calculate Bed Slope for Partial Flow given Velocity Ratio?

With Bed Slope of Channel (s), 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 Bed Slope for Partial Flow given Velocity Ratio using the formula - Bed Slope of Partial Flow = Bed Slope of Channel*(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.

What are the other ways to Calculate Bed Slope of Partial Flow?

Here are the different ways to Calculate Bed Slope of Partial Flow-

Bed Slope of Partial Flow=(Hydraulic Mean Depth while Running Full*Bed Slope of Channel)/Hydraulic Mean Depth for Partially Full

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Bed Slope for Partial Flow given Velocity Ratio Formula

​GoBed Slope for Partial Flow Formula

Bed Slope for Partial Flow given Velocity Ratio Example

Bed Slope for Partial Flow given Velocity Ratio Solution

Bed Slope for Partial Flow given Velocity Ratio Formula Elements

Other Formulas to find Bed Slope of Partial Flow

Other formulas in Bed Slope of Circular Sewer category

How to Evaluate Bed Slope for Partial Flow given Velocity Ratio?

FAQs on Bed Slope for Partial Flow given Velocity Ratio

Variable Name

GoBed Slope for Partial Flow Formula