Theoretical Discharge given Coefficient of Discharge Calculator

✖Actual discharge is given by the actual area and velocity.ⓘ Actual Discharge [Q_actual]			+10% -10%
✖Coefficient of Discharge is ratio of Actual discharge to theoretical discharge.ⓘ Coefficient of Discharge [C_d]			+10% -10%

✖The Theoretical Discharge is given by the theoretical area and velocity.ⓘ Theoretical Discharge given Coefficient of Discharge [Q_th]

⎘ Copy

👎

Formula

✖

Theoretical Discharge given Coefficient of Discharge

Formula

`"Q"_{"th"} = "Q"_{"actual"}/"C"_{"d"}`

Example

`"0.889394m³/s"="0.587m³/s"/"0.66"`

Calculator

LaTeX

Reset

👍

Download Hydraulics and Waterworks Formula PDF

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 is given by the theoretical area and velocity.
Actual Discharge - (Measured in Cubic Meter per Second) - Actual discharge is given by the actual area and velocity.
Coefficient of Discharge - Coefficient of Discharge is ratio of Actual discharge to theoretical discharge.

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 00.020 seconds)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Equations of Motion and Energy Equation » Venturimeter » Theoretical Discharge given Coefficient of Discharge

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by Himanshi Sharma

Bhilai Institute of Technology (BIT), Raipur

Himanshi Sharma has verified this Calculator and 800+ more calculators!

< 10+ Venturimeter 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))

Venturi Head given Difference in Levels of Manometric Liquid in Two Limbs

Go Venturi Head = Length of Venturimeter*(Weight per unit Volume of Manometer Fluid/Specific Weight of Liquid-1)

Density of Manometric Liquid given Venturi Head

Go Weight per unit Volume of Manometer Fluid = Specific Weight of Liquid*(Venturi Head/Length of Venturimeter+1)

Density of Liquid in Pipe given Venturi Head

Go Specific Weight of Liquid = Weight per unit Volume of Manometer Fluid/(Venturi Head/Length of Venturimeter+1)

Theoretical Discharge given Coefficient of Discharge

Go Theoretical Discharge = Actual Discharge/Coefficient of Discharge

Actual Discharge given Coefficient of Discharge

Go Actual Discharge = Theoretical Velocity*Coefficient of Discharge

Coefficient of Discharge given Discharges

Go Coefficient of Discharge = Actual Discharge/Theoretical Velocity

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 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 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. Actual discharge is given by the actual area and velocity & Coefficient of Discharge is ratio of Actual discharge to theoretical discharge.

How to calculate Theoretical Discharge given Coefficient of Discharge?

The Theoretical Discharge given Coefficient of Discharge 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)))

Home

FREE PDFs

🔍 Search