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Discharge in Convergent-Divergent Mouthpiece Formula

GoDischarge in Borda's Mouthpiece Running Full Formula

GoDischarge in Borda's Mouthpiece Running Free Formula

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The Discharge through mouthpiece is considered in the flow without sudden enlargement. Check FAQs

Q M = a c \cdot \sqrt{2 \cdot 9.81 \cdot H c}

Q_M - Discharge through Mouthpiece?a_c - Area at Vena Contracta?H_c - Constant Head?

Discharge in Convergent-Divergent Mouthpiece Example

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Here is how the Discharge in Convergent-Divergent Mouthpiece equation looks like with Values.

Here is how the Discharge in Convergent-Divergent Mouthpiece equation looks like with Units.

Here is how the Discharge in Convergent-Divergent Mouthpiece equation looks like.

30.1414 = 2.1 \cdot \sqrt{2 \cdot 9.81 \cdot 10.5}

30.1414m³/s = 2.1m² \cdot \sqrt{2 \cdot 9.81 \cdot 10.5m}

30.1414 = 2.1 \cdot \sqrt{2 \cdot 9.81 \cdot 10.5}

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Discharge in Convergent-Divergent Mouthpiece Solution

Follow our step by step solution on how to calculate Discharge in Convergent-Divergent Mouthpiece?

FIRST Step Consider the formula

Q M = a c \cdot \sqrt{2 \cdot 9.81 \cdot H c}

Next Step Substitute values of Variables

∴

Q M = 2.1m² \cdot \sqrt{2 \cdot 9.81 \cdot 10.5m}

Next Step Prepare to Evaluate

∴

Q M = 2.1 \cdot \sqrt{2 \cdot 9.81 \cdot 10.5}

Next Step Evaluate

∴

Q M = 30.1414017590423m³/s

LAST Step Rounding Answer

∴

Q M = 30.1414m³/s

Discharge in Convergent-Divergent Mouthpiece Formula Elements

Variables

Functions

Discharge through Mouthpiece

The Discharge through mouthpiece is considered in the flow without sudden enlargement.

Symbol: Q_M

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge through Mouthpiece

Area at Vena Contracta

The Area at vena contracta is the cross-sectional area of the vena contracta represents a measure of the effective regurgitant orifice area, which is the narrowest area of actual flow.

Symbol: a_c

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Area at Vena Contracta

Constant Head

The Constant head is considered for discharging of the water from an mouthpiece.

Symbol: H_c

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Constant Head

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 to find Discharge through Mouthpiece

Go Discharge in Borda's Mouthpiece Running Full

Q M = 0.707 \cdot A \cdot \sqrt{2 \cdot 9.81 \cdot H c}

Go Discharge in Borda's Mouthpiece Running Free

Q M = 0.5 \cdot A \cdot \sqrt{2 \cdot 9.81 \cdot H c}

Other formulas in Flow Rate category

Go Coefficient of discharge

C d = \frac{Q a}{Q th}

Go Coefficient of discharge for area and velocity

C d = \frac{v a \cdot A a}{V th \cdot A t}

Go Coefficient of Discharge given Time for Emptying Tank

C d = \frac{2 \cdot A T \cdot ((\sqrt{H i}) - (\sqrt{H f}))}{t total \cdot a \cdot \sqrt{2 \cdot 9.81}}

Go Coefficient of Discharge given Time of Emptying Hemispherical Tank

C d = \frac{π \cdot (((\frac{4}{3}) \cdot R t \cdot (({H i}^{\frac{3}{2}}) - ({H f}^{\frac{3}{2}}))) - ((\frac{2}{5}) \cdot (({H i}^{\frac{5}{2}}) - {(H f)}^{\frac{5}{2}})))}{t total \cdot a \cdot (\sqrt{2 \cdot 9.81})}

How to Evaluate Discharge in Convergent-Divergent Mouthpiece?

Discharge in Convergent-Divergent Mouthpiece evaluator uses Discharge through Mouthpiece = Area at Vena Contracta*sqrt(2*9.81*Constant Head) to evaluate the Discharge through Mouthpiece, The Discharge in Convergent-Divergent Mouthpiece depends on the area at the throat. Here, in the mouthpiece, there is no sudden enlargement so it is eliminated. Discharge through Mouthpiece is denoted by Q_M symbol.

How to evaluate Discharge in Convergent-Divergent Mouthpiece using this online evaluator? To use this online evaluator for Discharge in Convergent-Divergent Mouthpiece, enter Area at Vena Contracta (a_c) & Constant Head (H_c) and hit the calculate button.

FAQs on Discharge in Convergent-Divergent Mouthpiece

What is the formula to find Discharge in Convergent-Divergent Mouthpiece?

The formula of Discharge in Convergent-Divergent Mouthpiece is expressed as Discharge through Mouthpiece = Area at Vena Contracta*sqrt(2*9.81*Constant Head). Here is an example- 10.19066 = 2.1*sqrt(2*9.81*10.5).

How to calculate Discharge in Convergent-Divergent Mouthpiece?

With Area at Vena Contracta (a_c) & Constant Head (H_c) we can find Discharge in Convergent-Divergent Mouthpiece using the formula - Discharge through Mouthpiece = Area at Vena Contracta*sqrt(2*9.81*Constant Head). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Discharge through Mouthpiece?

Here are the different ways to Calculate Discharge through Mouthpiece-

Discharge through Mouthpiece=0.707*Area*sqrt(2*9.81*Constant Head)
Discharge through Mouthpiece=0.5*Area*sqrt(2*9.81*Constant Head)

Can the Discharge in Convergent-Divergent Mouthpiece be negative?

Yes, the Discharge in Convergent-Divergent Mouthpiece, measured in Volumetric Flow Rate can be negative.

Which unit is used to measure Discharge in Convergent-Divergent Mouthpiece?

Discharge in Convergent-Divergent Mouthpiece 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 Discharge in Convergent-Divergent Mouthpiece can be measured.

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Discharge in Convergent-Divergent Mouthpiece Formula

​GoDischarge in Borda's Mouthpiece Running Full Formula

​GoDischarge in Borda's Mouthpiece Running Free Formula

Discharge in Convergent-Divergent Mouthpiece Example

Discharge in Convergent-Divergent Mouthpiece Solution

Discharge in Convergent-Divergent Mouthpiece Formula Elements

Other Formulas to find Discharge through Mouthpiece

Other formulas in Flow Rate category

How to Evaluate Discharge in Convergent-Divergent Mouthpiece?

FAQs on Discharge in Convergent-Divergent Mouthpiece

Variable Name

GoDischarge in Borda's Mouthpiece Running Full Formula

GoDischarge in Borda's Mouthpiece Running Free Formula