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Rehbocks Formula for Discharge over Rectangular Weir Formula

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Francis Discharge with Suppressed End is discharge of flow without the end contraction. Check FAQs

Q Fr' = \frac{2}{3} \cdot (0.605 + 0.08 \cdot (\frac{S w}{h Crest}) + (\frac{0.001}{S w})) \cdot \sqrt{2 \cdot g} \cdot L w \cdot {S w}^{\frac{3}{2}}

Q_Fr' - Francis Discharge with Suppressed End?S_w - Height of Water above Crest of Weir?h_Crest - Height of Crest?g - Acceleration due to Gravity?L_w - Length of Weir Crest?

Rehbocks Formula for Discharge over Rectangular Weir Example

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Here is how the Rehbocks Formula for Discharge over Rectangular Weir equation looks like with Values.

Here is how the Rehbocks Formula for Discharge over Rectangular Weir equation looks like with Units.

Here is how the Rehbocks Formula for Discharge over Rectangular Weir equation looks like.

15.498 = \frac{2}{3} \cdot (0.605 + 0.08 \cdot (\frac{2}{12}) + (\frac{0.001}{2})) \cdot \sqrt{2 \cdot 9.8} \cdot 3 \cdot 2^{\frac{3}{2}}

15.498m³/s = \frac{2}{3} \cdot (0.605 + 0.08 \cdot (\frac{2m}{12m}) + (\frac{0.001}{2m})) \cdot \sqrt{2 \cdot 9.8m/s²} \cdot 3m \cdot {2m}^{\frac{3}{2}}

15.498 = \frac{2}{3} \cdot (0.605 + 0.08 \cdot (\frac{2}{12}) + (\frac{0.001}{2})) \cdot \sqrt{2 \cdot 9.8} \cdot 3 \cdot 2^{\frac{3}{2}}

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Rehbocks Formula for Discharge over Rectangular Weir Solution

Follow our step by step solution on how to calculate Rehbocks Formula for Discharge over Rectangular Weir?

FIRST Step Consider the formula

Q Fr' = \frac{2}{3} \cdot (0.605 + 0.08 \cdot (\frac{S w}{h Crest}) + (\frac{0.001}{S w})) \cdot \sqrt{2 \cdot g} \cdot L w \cdot {S w}^{\frac{3}{2}}

Next Step Substitute values of Variables

∴

Q Fr' = \frac{2}{3} \cdot (0.605 + 0.08 \cdot (\frac{2m}{12m}) + (\frac{0.001}{2m})) \cdot \sqrt{2 \cdot 9.8m/s²} \cdot 3m \cdot {2m}^{\frac{3}{2}}

Next Step Prepare to Evaluate

∴

Q Fr' = \frac{2}{3} \cdot (0.605 + 0.08 \cdot (\frac{2}{12}) + (\frac{0.001}{2})) \cdot \sqrt{2 \cdot 9.8} \cdot 3 \cdot 2^{\frac{3}{2}}

Next Step Evaluate

∴

Q Fr' = 15.4980380808525m³/s

LAST Step Rounding Answer

∴

Q Fr' = 15.498m³/s

Rehbocks Formula for Discharge over Rectangular Weir Formula Elements

Variables

Functions

Francis Discharge with Suppressed End

Francis Discharge with Suppressed End is discharge of flow without the end contraction.

Symbol: Q_Fr'

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Francis Discharge with Suppressed End

Height of Water above Crest of Weir

Height of Water above Crest of Weir is defined as the water surface height above crest.

Symbol: S_w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Water above Crest of Weir

Height of Crest

Height of Crest is the distance between the lowest and highest points of Crest.

Symbol: h_Crest

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Crest

Acceleration due to Gravity

The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration due to Gravity

Length of Weir Crest

Length of Weir Crest is the measurement or extent of Weir Crest from end to end.

Symbol: L_w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Weir Crest

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 in Flow Over Rectangular Sharp Crested Weir or Notch category

Go Coefficient of Discharge given Discharge over Weir without considering Velocity

C d = \frac{Q Fr' \cdot 3}{2 \cdot (\sqrt{2 \cdot g}) \cdot L w \cdot {S w}^{\frac{3}{2}}}

Go Coefficient of Discharge given Discharge Passing over Weir considering Velocity

C d = \frac{Q Fr' \cdot 3}{2 \cdot (\sqrt{2 \cdot g}) \cdot L w \cdot ({(S w + H V)}^{\frac{3}{2}} - {H V}^{\frac{3}{2}})}

Go Coefficient of Discharge given Discharge if Velocity not considered

C d = \frac{Q Fr \cdot 3}{2 \cdot (\sqrt{2 \cdot g}) \cdot (L w - 0.1 \cdot n \cdot S w) \cdot {S w}^{\frac{3}{2}}}

Go Coefficient of Discharge given Discharge if Velocity considered

C d = \frac{Q Fr \cdot 3}{2 \cdot (\sqrt{2 \cdot g}) \cdot (L w - 0.1 \cdot n \cdot H Stillwater) \cdot ({H Stillwater}^{\frac{3}{2}} - {H V}^{\frac{3}{2}})}

How to Evaluate Rehbocks Formula for Discharge over Rectangular Weir?

Rehbocks Formula for Discharge over Rectangular Weir evaluator uses Francis Discharge with Suppressed End = 2/3*(0.605+0.08*(Height of Water above Crest of Weir/Height of Crest)+(0.001/Height of Water above Crest of Weir))*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest*Height of Water above Crest of Weir^(3/2) to evaluate the Francis Discharge with Suppressed End, The Rehbocks Formula for Discharge over Rectangular Weir is a measure of the quantity of any fluid flow passing over unit time. The quantity may be either volume or mass. Francis Discharge with Suppressed End is denoted by Q_Fr' symbol.

How to evaluate Rehbocks Formula for Discharge over Rectangular Weir using this online evaluator? To use this online evaluator for Rehbocks Formula for Discharge over Rectangular Weir, enter Height of Water above Crest of Weir (S_w), Height of Crest (h_Crest), Acceleration due to Gravity (g) & Length of Weir Crest (L_w) and hit the calculate button.

FAQs on Rehbocks Formula for Discharge over Rectangular Weir

What is the formula to find Rehbocks Formula for Discharge over Rectangular Weir?

The formula of Rehbocks Formula for Discharge over Rectangular Weir is expressed as Francis Discharge with Suppressed End = 2/3*(0.605+0.08*(Height of Water above Crest of Weir/Height of Crest)+(0.001/Height of Water above Crest of Weir))*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest*Height of Water above Crest of Weir^(3/2). Here is an example- 15.49804 = 2/3*(0.605+0.08*(2/12)+(0.001/2))*sqrt(2*9.8)*3*2^(3/2).

How to calculate Rehbocks Formula for Discharge over Rectangular Weir?

With Height of Water above Crest of Weir (S_w), Height of Crest (h_Crest), Acceleration due to Gravity (g) & Length of Weir Crest (L_w) we can find Rehbocks Formula for Discharge over Rectangular Weir using the formula - Francis Discharge with Suppressed End = 2/3*(0.605+0.08*(Height of Water above Crest of Weir/Height of Crest)+(0.001/Height of Water above Crest of Weir))*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest*Height of Water above Crest of Weir^(3/2). This formula also uses Square Root (sqrt) function(s).

Can the Rehbocks Formula for Discharge over Rectangular Weir be negative?

No, the Rehbocks Formula for Discharge over Rectangular Weir, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Rehbocks Formula for Discharge over Rectangular Weir?

Rehbocks Formula for Discharge over Rectangular Weir 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 Rehbocks Formula for Discharge over Rectangular Weir can be measured.

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Rehbocks Formula for Discharge over Rectangular Weir Formula

Rehbocks Formula for Discharge over Rectangular Weir Example

Rehbocks Formula for Discharge over Rectangular Weir Solution

Rehbocks Formula for Discharge over Rectangular Weir Formula Elements

Other formulas in Flow Over Rectangular Sharp Crested Weir or Notch category

How to Evaluate Rehbocks Formula for Discharge over Rectangular Weir?

FAQs on Rehbocks Formula for Discharge over Rectangular Weir

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