Theoretical Discharge given Coefficient of Discharge Calculator

✖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.ⓘ Actual Discharge [Q_actual]			+10% -10%
✖The Coefficient of Discharge refers to the volume of fluid (such as water) that flows through a pipe or channel per unit of time.ⓘ Coefficient of Discharge [C_d]			+10% -10%

✖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.ⓘ Theoretical Discharge given Coefficient of Discharge [Q_th]

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Formula

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Theoretical Discharge given Coefficient of Discharge

Formula

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

Example

0.889394 m³/s = \frac{0.587 m³/s}{0.66}

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Theoretical Discharge given Coefficient of Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Theoretical Discharge = Actual Discharge/Coefficient of Discharge
Q_th = Q_actual/C_d
This formula uses 3 Variables

Variables Used

Theoretical Discharge - (Measured in Cubic Meter per Second) - 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.
Actual Discharge - (Measured in Cubic Meter per Second) - 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.
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.

STEP 1: Convert Input(s) to Base Unit

Actual Discharge: 0.587 Cubic Meter per Second --> 0.587 Cubic Meter per Second No Conversion Required
Coefficient of Discharge: 0.66 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_th = Q_actual/C_d --> 0.587/0.66

Evaluating ... ...

Q_th = 0.889393939393939

STEP 3: Convert Result to Output's Unit

0.889393939393939 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

0.889393939393939 ≈ 0.889394 Cubic Meter per Second <-- Theoretical Discharge

(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< Venturi Meter Calculators

Theoretical Discharge through Pipe

Go 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)))

Venturi Head given Theoretical Discharge through Pipe

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

Inlet Area given Theoretical Discharge

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

Throat Area given Theoretical Discharge

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

Theoretical Discharge given Coefficient of Discharge Formula

Theoretical Discharge = Actual Discharge/Coefficient of Discharge
Q_th = Q_actual/C_d

What is Theoretical Discharge?

In a nozzle or other constriction, the discharge coefficient (also known as coefficient of discharge or efflux coefficient) is the ratio of the actual discharge to the theoretical discharge, i.e., the ratio of the mass flow rate at the discharge end of the nozzle to that of an ideal nozzle which expands an identical ...

How to Calculate Theoretical Discharge given Coefficient of Discharge?

Theoretical Discharge given Coefficient of Discharge calculator uses Theoretical Discharge = Actual Discharge/Coefficient of Discharge to calculate 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 calculate Theoretical Discharge given Coefficient of Discharge using this online calculator? To use this online calculator for Theoretical Discharge given Coefficient of Discharge, enter Actual Discharge (Q_actual) & Coefficient of Discharge (C_d) and hit the calculate button. Here is how the Theoretical Discharge given Coefficient of Discharge calculation can be explained with given input values -> 0.889394 = 0.587/0.66.

FAQ

What is Theoretical Discharge given Coefficient of Discharge?

The Theoretical Discharge given Coefficient of Discharge formula is defined as non-real discharge while ignoring all the losses in the flow and is represented as Q_th = Q_actual/C_d or Theoretical Discharge = Actual Discharge/Coefficient of 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 & The Coefficient of Discharge refers to the volume of fluid (such as water) that flows through a pipe or channel per unit of time.

How to calculate Theoretical Discharge given Coefficient of Discharge?

The Theoretical Discharge given Coefficient of Discharge formula is defined as non-real discharge while ignoring all the losses in the flow is calculated using Theoretical Discharge = Actual Discharge/Coefficient of Discharge. To calculate Theoretical Discharge given Coefficient of Discharge, you need Actual Discharge (Q_actual) & Coefficient of Discharge (C_d). With our tool, you need to enter the respective value for Actual Discharge & Coefficient of Discharge and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Theoretical Discharge?

In this formula, Theoretical Discharge uses Actual Discharge & Coefficient of Discharge. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)))

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