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Theoretical Discharge given Coefficient of Discharge Formula

GoTheoretical Discharge through Pipe Formula

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The Theoretical Discharge refers to the ideal flow rate of a fluid through a system, calculated under perfect conditions without considering any real-world losses like friction or turbulence. Check FAQs

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

Q_th - Theoretical Discharge?Q_actual - Actual Discharge?C_d - Coefficient of Discharge?

Theoretical Discharge given Coefficient of Discharge Example

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Here is how the Theoretical Discharge given Coefficient of Discharge equation looks like with Values.

Here is how the Theoretical Discharge given Coefficient of Discharge equation looks like with Units.

Here is how the Theoretical Discharge given Coefficient of Discharge equation looks like.

0.8894 = \frac{0.587}{0.66}

0.8894m³/s = \frac{0.587m³/s}{0.66}

0.8894 = \frac{0.587}{0.66}

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Theoretical Discharge given Coefficient of Discharge Solution

Follow our step by step solution on how to calculate Theoretical Discharge given Coefficient of Discharge?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q th = \frac{0.587m³/s}{0.66}

Next Step Prepare to Evaluate

∴

Q th = \frac{0.587}{0.66}

Next Step Evaluate

∴

Q th = 0.889393939393939m³/s

LAST Step Rounding Answer

∴

Q th = 0.8894m³/s

Theoretical Discharge given Coefficient of Discharge Formula Elements

Variables

Theoretical Discharge

The Theoretical Discharge refers to the ideal flow rate of a fluid through a system, calculated under perfect conditions without considering any real-world losses like friction or turbulence.

Symbol: Q_th

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Theoretical Discharge

Actual Discharge

The Actual discharge refers to the refers to the volume of fluid (such as water) that flows through a pipe or channel per unit of time.

Symbol: Q_actual

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Actual Discharge

Coefficient of Discharge

The Coefficient of Discharge refers to the volume of fluid (such as water) that flows through a pipe or channel per unit of time.

Symbol: C_d

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.2.

Formulas to find Coefficient of Discharge

Other Formulas to find Theoretical Discharge

Go Theoretical Discharge through Pipe

Q th = \frac{A i \cdot A f \cdot (\sqrt{2 \cdot [g] \cdot h venturi})}{\sqrt{{(A i)}^{2} - {(A f)}^{2}}}

Other formulas in Venturi Meter category

Go Throat Area given Theoretical Discharge

A f = \sqrt{\frac{{(A i \cdot Q th)}^{2}}{({A i}^{2} \cdot 2 \cdot [g] \cdot h venturi) + {Q th}^{2}}}

Go Inlet Area given Theoretical Discharge

A i = \sqrt{\frac{{(Q th \cdot A f)}^{2}}{{(Q th)}^{2} - ({A f}^{2} \cdot 2 \cdot [g] \cdot h venturi)}}

Go Venturi Head given Theoretical Discharge through Pipe

h venturi = {((\frac{Q th}{A i \cdot A f}) \cdot (\sqrt{\frac{{(A i)}^{2} - {(A f)}^{2}}{2 \cdot [g]}}))}^{2}

Go Coefficient of Discharge given Discharges

C d = \frac{Q actual}{V theoritical}

How to Evaluate Theoretical Discharge given Coefficient of Discharge?

Theoretical Discharge given Coefficient of Discharge evaluator uses Theoretical Discharge = Actual Discharge/Coefficient of Discharge to evaluate the Theoretical Discharge, The Theoretical Discharge given Coefficient of Discharge formula is defined as non-real discharge while ignoring all the losses in the flow. Theoretical Discharge is denoted by Q_th symbol.

How to evaluate Theoretical Discharge given Coefficient of Discharge using this online evaluator? To use this online evaluator for Theoretical Discharge given Coefficient of Discharge, enter Actual Discharge (Q_actual) & Coefficient of Discharge (C_d) and hit the calculate button.

FAQs on Theoretical Discharge given Coefficient of Discharge

What is the formula to find Theoretical Discharge given Coefficient of Discharge?

The formula of Theoretical Discharge given Coefficient of Discharge is expressed as Theoretical Discharge = Actual Discharge/Coefficient of Discharge. Here is an example- 0.889394 = 0.587/0.66.

How to calculate Theoretical Discharge given Coefficient of Discharge?

With Actual Discharge (Q_actual) & Coefficient of Discharge (C_d) we can find Theoretical Discharge given Coefficient of Discharge using the formula - Theoretical Discharge = Actual Discharge/Coefficient of Discharge.

What are the other ways to Calculate Theoretical Discharge?

Here are the different ways to Calculate Theoretical Discharge-

Theoretical Discharge=(Cross Section Area 1*Cross Section Area 2*(sqrt(2*[g]*Venturi Head)))/(sqrt((Cross Section Area 1)^(2)-(Cross Section Area 2)^(2)))

Can the Theoretical Discharge given Coefficient of Discharge be negative?

No, the Theoretical Discharge given Coefficient of Discharge, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Theoretical Discharge given Coefficient of Discharge?

Theoretical Discharge given Coefficient of Discharge 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 Theoretical Discharge given Coefficient of Discharge can be measured.

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