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Rehbocks Formula for Coefficient of Discharge Formula

GoCoefficient of Discharge given Discharge over Weir without considering Velocity Formula

GoCoefficient of Discharge given Discharge Passing over Weir considering Velocity Formula

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The Coefficient of Discharge is ratio of actual discharge to theoretical discharge. Check FAQs

C d = 0.605 + 0.08 \cdot (\frac{S w}{h Crest}) + (\frac{0.001}{S w})

C_d - Coefficient of Discharge?S_w - Height of Water above Crest of Weir?h_Crest - Height of Crest?

Rehbocks Formula for Coefficient of Discharge Example

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Here is how the Rehbocks Formula for Coefficient of Discharge equation looks like with Values.

Here is how the Rehbocks Formula for Coefficient of Discharge equation looks like with Units.

Here is how the Rehbocks Formula for Coefficient of Discharge equation looks like.

0.6188 = 0.605 + 0.08 \cdot (\frac{2}{12}) + (\frac{0.001}{2})

0.6188 = 0.605 + 0.08 \cdot (\frac{2m}{12m}) + (\frac{0.001}{2m})

0.6188 = 0.605 + 0.08 \cdot (\frac{2}{12}) + (\frac{0.001}{2})

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Rehbocks Formula for Coefficient of Discharge Solution

Follow our step by step solution on how to calculate Rehbocks Formula for Coefficient of Discharge?

FIRST Step Consider the formula

C d = 0.605 + 0.08 \cdot (\frac{S w}{h Crest}) + (\frac{0.001}{S w})

Next Step Substitute values of Variables

∴

C d = 0.605 + 0.08 \cdot (\frac{2m}{12m}) + (\frac{0.001}{2m})

Next Step Prepare to Evaluate

∴

C d = 0.605 + 0.08 \cdot (\frac{2}{12}) + (\frac{0.001}{2})

Next Step Evaluate

∴

C d = 0.618833333333333

LAST Step Rounding Answer

∴

C d = 0.6188

Rehbocks Formula for Coefficient of Discharge Formula Elements

Variables

Coefficient of Discharge

The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.

Symbol: C_d

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.2.

Formulas to find Coefficient of Discharge

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

Other Formulas to find Coefficient of Discharge

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}})}

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

Go Approach Velocity

v = \frac{Q'}{b \cdot d f}

Go Width of Channel given Velocity Approach

b = \frac{Q'}{v \cdot d f}

Go Depth of Water Flow in Channel given Velocity Approach

d f = \frac{Q'}{b \cdot v}

Go Francis Formula for Discharge for Rectangular Notch if Velocity not considered

Q Fr = 1.84 \cdot (L w - 0.1 \cdot n \cdot S w) \cdot {S w}^{\frac{3}{2}}

How to Evaluate Rehbocks Formula for Coefficient of Discharge?

Rehbocks Formula for Coefficient of Discharge evaluator uses Coefficient of Discharge = 0.605+0.08*(Height of Water above Crest of Weir/Height of Crest)+(0.001/Height of Water above Crest of Weir) to evaluate the Coefficient of Discharge, The Rehbocks Formula for Coefficient of Discharge is the ratio of actual discharge through a nozzle or orifice to the theoretical discharge. Coefficient of Discharge is denoted by C_d symbol.

How to evaluate Rehbocks Formula for Coefficient of Discharge using this online evaluator? To use this online evaluator for Rehbocks Formula for Coefficient of Discharge, enter Height of Water above Crest of Weir (S_w) & Height of Crest (h_Crest) and hit the calculate button.

FAQs on Rehbocks Formula for Coefficient of Discharge

What is the formula to find Rehbocks Formula for Coefficient of Discharge?

The formula of Rehbocks Formula for Coefficient of Discharge is expressed as Coefficient of Discharge = 0.605+0.08*(Height of Water above Crest of Weir/Height of Crest)+(0.001/Height of Water above Crest of Weir). Here is an example- 0.618833 = 0.605+0.08*(2/12)+(0.001/2).

How to calculate Rehbocks Formula for Coefficient of Discharge?

With Height of Water above Crest of Weir (S_w) & Height of Crest (h_Crest) we can find Rehbocks Formula for Coefficient of Discharge using the formula - Coefficient of Discharge = 0.605+0.08*(Height of Water above Crest of Weir/Height of Crest)+(0.001/Height of Water above Crest of Weir).

What are the other ways to Calculate Coefficient of Discharge?

Here are the different ways to Calculate Coefficient of Discharge-

Coefficient of Discharge=(Francis Discharge with Suppressed End*3)/(2*(sqrt(2*Acceleration due to Gravity))*Length of Weir Crest*Height of Water above Crest of Weir^(3/2))
Coefficient of Discharge=(Francis Discharge with Suppressed End*3)/(2*(sqrt(2*Acceleration due to Gravity))*Length of Weir Crest*((Height of Water above Crest of Weir+Velocity Head)^(3/2)-Velocity Head^(3/2)))
Coefficient of Discharge=(Francis Discharge*3)/(2*(sqrt(2*Acceleration due to Gravity))*(Length of Weir Crest-0.1*Number of End Contraction*Height of Water above Crest of Weir)*Height of Water above Crest of Weir^(3/2))

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