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Coefficient of Discharge given Discharge for Cipolletti Weir Formula

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

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

C_d - Coefficient of Discharge?Q_C - Discharge by Cipolletti?g - Acceleration due to Gravity?L_w - Length of Weir Crest?S_w - Height of Water above Crest of Weir?

Coefficient of Discharge given Discharge for Cipolletti Weir Example

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Here is how the Coefficient of Discharge given Discharge for Cipolletti Weir equation looks like with Values.

Here is how the Coefficient of Discharge given Discharge for Cipolletti Weir equation looks like with Units.

Here is how the Coefficient of Discharge given Discharge for Cipolletti Weir equation looks like.

0.5989 = \frac{15 \cdot 3}{2 \cdot \sqrt{2 \cdot 9.8} \cdot 3 \cdot 2^{\frac{3}{2}}}

0.5989 = \frac{15m³/s \cdot 3}{2 \cdot \sqrt{2 \cdot 9.8m/s²} \cdot 3m \cdot {2m}^{\frac{3}{2}}}

0.5989 = \frac{15 \cdot 3}{2 \cdot \sqrt{2 \cdot 9.8} \cdot 3 \cdot 2^{\frac{3}{2}}}

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Coefficient of Discharge given Discharge for Cipolletti Weir Solution

Follow our step by step solution on how to calculate Coefficient of Discharge given Discharge for Cipolletti Weir?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C d = \frac{15m³/s \cdot 3}{2 \cdot \sqrt{2 \cdot 9.8m/s²} \cdot 3m \cdot {2m}^{\frac{3}{2}}}

Next Step Prepare to Evaluate

∴

C d = \frac{15 \cdot 3}{2 \cdot \sqrt{2 \cdot 9.8} \cdot 3 \cdot 2^{\frac{3}{2}}}

Next Step Evaluate

∴

C d = 0.598946779687444

LAST Step Rounding Answer

∴

C d = 0.5989

Coefficient of Discharge given Discharge for Cipolletti Weir Formula Elements

Variables

Functions

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

Discharge by Cipolletti

Discharge by Cipolletti is the rate of flow of a liquid.

Symbol: Q_C

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge by Cipolletti

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

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

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 a Trapizoidal Weir or Notch category

Go Discharge over Trapezoidal Notch if overall Coefficient of Discharge for Trapezoidal notch

Q C = ((C d \cdot \sqrt{2 \cdot g} \cdot {S w}^{\frac{3}{2}}) \cdot ((\frac{2}{3}) \cdot L w + (\frac{8}{15}) \cdot S w \cdot \tan (\frac{θ}{2})))

Go Discharge for Cipolletti Weir

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

Go Length of Crest given Discharge for Cipolletti Weir

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

Go Head given Discharge for Cipolletti Weir

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

How to Evaluate Coefficient of Discharge given Discharge for Cipolletti Weir?

Coefficient of Discharge given Discharge for Cipolletti Weir evaluator uses Coefficient of Discharge = (Discharge by Cipolletti*3)/(2*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest*Height of Water above Crest of Weir^(3/2)) to evaluate the Coefficient of Discharge, Coefficient of discharge given discharge for Cipolletti weir is ratio of actual discharge through nozzle or orifice to theoretical discharge. Coefficient of Discharge is denoted by C_d symbol.

How to evaluate Coefficient of Discharge given Discharge for Cipolletti Weir using this online evaluator? To use this online evaluator for Coefficient of Discharge given Discharge for Cipolletti Weir, enter Discharge by Cipolletti (Q_C), Acceleration due to Gravity (g), Length of Weir Crest (L_w) & Height of Water above Crest of Weir (S_w) and hit the calculate button.

FAQs on Coefficient of Discharge given Discharge for Cipolletti Weir

What is the formula to find Coefficient of Discharge given Discharge for Cipolletti Weir?

The formula of Coefficient of Discharge given Discharge for Cipolletti Weir is expressed as Coefficient of Discharge = (Discharge by Cipolletti*3)/(2*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest*Height of Water above Crest of Weir^(3/2)). Here is an example- 0.598947 = (15*3)/(2*sqrt(2*9.8)*3*2^(3/2)).

How to calculate Coefficient of Discharge given Discharge for Cipolletti Weir?

With Discharge by Cipolletti (Q_C), Acceleration due to Gravity (g), Length of Weir Crest (L_w) & Height of Water above Crest of Weir (S_w) we can find Coefficient of Discharge given Discharge for Cipolletti Weir using the formula - Coefficient of Discharge = (Discharge by Cipolletti*3)/(2*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).

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Coefficient of Discharge given Discharge for Cipolletti Weir Formula

Coefficient of Discharge given Discharge for Cipolletti Weir Example

Coefficient of Discharge given Discharge for Cipolletti Weir Solution

Coefficient of Discharge given Discharge for Cipolletti Weir Formula Elements

Other formulas in Flow Over a Trapizoidal Weir or Notch category

How to Evaluate Coefficient of Discharge given Discharge for Cipolletti Weir?

FAQs on Coefficient of Discharge given Discharge for Cipolletti Weir

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