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Submerged Flow over Weir using Villemonte Formula Formula

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Submerged Discharge for the flow over a weir is denoted by the symbol Q_s. Check FAQs

Q s = Q 1 \cdot {(1 - {(\frac{H 2}{H 1})}^{n head})}^{0.385}

Q_s - Submerged Discharge?Q₁ - Free Flow Discharge under Head H1?H₂ - Downstream Water Surface Elevation?H₁ - Upstream Water Surface Elevation?n_head - Exponent of Head?

Submerged Flow over Weir using Villemonte Formula Example

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Here is how the Submerged Flow over Weir using Villemonte Formula equation looks like with Values.

Here is how the Submerged Flow over Weir using Villemonte Formula equation looks like with Units.

Here is how the Submerged Flow over Weir using Villemonte Formula equation looks like.

18.9937 = 20 \cdot {(1 - {(\frac{5}{10.01})}^{2.99})}^{0.385}

18.9937m³/s = 20m³/s \cdot {(1 - {(\frac{5m}{10.01m})}^{2.99m})}^{0.385}

18.9937 = 20 \cdot {(1 - {(\frac{5}{10.01})}^{2.99})}^{0.385}

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Submerged Flow over Weir using Villemonte Formula Solution

Follow our step by step solution on how to calculate Submerged Flow over Weir using Villemonte Formula?

FIRST Step Consider the formula

Q s = Q 1 \cdot {(1 - {(\frac{H 2}{H 1})}^{n head})}^{0.385}

Next Step Substitute values of Variables

∴

Q s = 20m³/s \cdot {(1 - {(\frac{5m}{10.01m})}^{2.99m})}^{0.385}

Next Step Prepare to Evaluate

∴

Q s = 20 \cdot {(1 - {(\frac{5}{10.01})}^{2.99})}^{0.385}

Next Step Evaluate

∴

Q s = 18.9936618149729m³/s

LAST Step Rounding Answer

∴

Q s = 18.9937m³/s

Submerged Flow over Weir using Villemonte Formula Formula Elements

Variables

Submerged Discharge

Submerged Discharge for the flow over a weir is denoted by the symbol Q_s.

Symbol: Q_s

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Submerged Discharge

Free Flow Discharge under Head H1

Free Flow Discharge under Head H1 is the volumetric flow rate of water that is transported in a weir when there is insufficient backwater to reduce the discharge through the flume.

Symbol: Q₁

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Free Flow Discharge under Head H1

Downstream Water Surface Elevation

Downstream Water Surface Elevation measured above the Weir Crest.

Symbol: H₂

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Downstream Water Surface Elevation

Upstream Water Surface Elevation

Upstream Water Surface Elevation measured above the Weir Crest.

Symbol: H₁

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Upstream Water Surface Elevation

Exponent of Head

Exponent of Head in free flow head discharge relation is denoted by the symbol n.

Symbol: n_head

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Exponent of Head

Other formulas in Flow Measuring Structures category

Go Head over Weir given Discharge

H = {(\frac{Q f}{k})}^{\frac{1}{n system}}

Go Discharge at Structure

Q f = k \cdot (H^{n system})

Go Free Flow Discharge under Head using Submerged Flow over Weir

Q 1 = \frac{Q s}{{(1 - {(\frac{H 2}{H 1})}^{n head})}^{0.385}}

How to Evaluate Submerged Flow over Weir using Villemonte Formula?

Submerged Flow over Weir using Villemonte Formula evaluator uses Submerged Discharge = Free Flow Discharge under Head H1*(1-(Downstream Water Surface Elevation/Upstream Water Surface Elevation)^Exponent of Head)^0.385 to evaluate the Submerged Discharge, The Submerged Flow over Weir using Villemonte Formula formula is defined as the equation of the free weir to which the flooding coefficient proposed by Villemonte applies. This flooding coefficient is also used for the triangular and truncated triangular weir formulas. Submerged Discharge is denoted by Q_s symbol.

How to evaluate Submerged Flow over Weir using Villemonte Formula using this online evaluator? To use this online evaluator for Submerged Flow over Weir using Villemonte Formula, enter Free Flow Discharge under Head H1 (Q₁), Downstream Water Surface Elevation (H₂), Upstream Water Surface Elevation (H₁) & Exponent of Head (n_head) and hit the calculate button.

FAQs on Submerged Flow over Weir using Villemonte Formula

What is the formula to find Submerged Flow over Weir using Villemonte Formula?

The formula of Submerged Flow over Weir using Villemonte Formula is expressed as Submerged Discharge = Free Flow Discharge under Head H1*(1-(Downstream Water Surface Elevation/Upstream Water Surface Elevation)^Exponent of Head)^0.385. Here is an example- 19.00092 = 20*(1-(5/10.01)^2.99)^0.385.

How to calculate Submerged Flow over Weir using Villemonte Formula?

With Free Flow Discharge under Head H1 (Q₁), Downstream Water Surface Elevation (H₂), Upstream Water Surface Elevation (H₁) & Exponent of Head (n_head) we can find Submerged Flow over Weir using Villemonte Formula using the formula - Submerged Discharge = Free Flow Discharge under Head H1*(1-(Downstream Water Surface Elevation/Upstream Water Surface Elevation)^Exponent of Head)^0.385.

Can the Submerged Flow over Weir using Villemonte Formula be negative?

Yes, the Submerged Flow over Weir using Villemonte Formula, measured in Volumetric Flow Rate can be negative.

Which unit is used to measure Submerged Flow over Weir using Villemonte Formula?

Submerged Flow over Weir using Villemonte Formula is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Submerged Flow over Weir using Villemonte Formula can be measured.

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Submerged Flow over Weir using Villemonte Formula Formula

Submerged Flow over Weir using Villemonte Formula Example

Submerged Flow over Weir using Villemonte Formula Solution

Submerged Flow over Weir using Villemonte Formula Formula Elements

Other formulas in Flow Measuring Structures category

How to Evaluate Submerged Flow over Weir using Villemonte Formula?

FAQs on Submerged Flow over Weir using Villemonte Formula

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