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Coefficient of Discharge given Discharges Formula

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

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

C_d - Coefficient of Discharge?Q_actual - Actual Discharge?V_theoritical - Theoretical Velocity?

Coefficient of Discharge given Discharges Example

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

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

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

0.3913 = \frac{0.587}{1.5}

0.3913 = \frac{0.587m³/s}{1.5m/s}

0.3913 = \frac{0.587}{1.5}

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Coefficient of Discharge given Discharges Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C d = \frac{0.587m³/s}{1.5m/s}

Next Step Prepare to Evaluate

∴

C d = \frac{0.587}{1.5}

Next Step Evaluate

∴

C d = 0.391333333333333

LAST Step Rounding Answer

∴

C d = 0.3913

Coefficient of Discharge given Discharges Formula Elements

Variables

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

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

Theoretical Velocity

The Theoretical Velocity refers to the maximum speed an object falling from a given height would reach if there was no air resistance.

Symbol: V_theoritical

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Theoretical Velocity

Other formulas in Venturi Meter category

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}}}

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}

How to Evaluate Coefficient of Discharge given Discharges?

Coefficient of Discharge given Discharges evaluator uses Coefficient of Discharge = Actual Discharge/Theoretical Velocity to evaluate the Coefficient of Discharge, The Coefficient of Discharge given discharges formula is defined as the ratio of actual discharge to the theoretical discharge. Both the actual and theoretical discharge is obtained using area and velocity. Coefficient of Discharge is denoted by C_d symbol.

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

FAQs on Coefficient of Discharge given Discharges

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

The formula of Coefficient of Discharge given Discharges is expressed as Coefficient of Discharge = Actual Discharge/Theoretical Velocity. Here is an example- 0.391333 = 0.587/1.5.

How to calculate Coefficient of Discharge given Discharges?

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

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