Reversible Nozzle Jet Velocity Calculator

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Components of Gas Turbine

Jet Propulsion

Rocket Propulsion

Thermodynamics and Governing Equations

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✖Specific heat at constant pressure is the energy required to raise the temperature of the unit mass of a substance by one degree as the pressure is maintained constant.ⓘ Specific Heat at Constant Pressure [C_p]			+10% -10%
✖Nozzle Temperature is the temperature of gases expanding the nozzle.ⓘ Nozzle Temperature [T]			+10% -10%
✖Pressure Ratio for the reversible nozzle is the ratio of the ambient pressure to the inlet pressure.ⓘ Pressure Ratio [P_r]			+10% -10%
✖The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume of the flowing fluid for non-viscous and compressible flow.ⓘ Specific Heat Ratio [γ]			+10% -10%

✖Ideal Exit Velocity is the velocity at the exit of nozzle, it does not includes losses due to external factors.ⓘ Reversible Nozzle Jet Velocity [C_ideal]

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Formula

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Reversible Nozzle Jet Velocity

Formula

`"C"_{"ideal"} = sqrt(2*"C"_{"p"}*"T"*(1-("P"_{"r"})^(("γ"-1)/("γ"))))`

Example

`"199.1646m/s"=sqrt(2*"1248J/(kg*K)"*"244K"*(1-("0.79")^(("1.4"-1)/("1.4"))))`

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Reversible Nozzle Jet Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Ideal Exit Velocity = sqrt(2*Specific Heat at Constant Pressure*Nozzle Temperature*(1-(Pressure Ratio)^((Specific Heat Ratio-1)/(Specific Heat Ratio))))
C_ideal = sqrt(2*C_p*T*(1-(P_r)^((γ-1)/(γ))))
This formula uses 1 Functions, 5 Variables

Functions Used

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., sqrt(Number)

Variables Used

Ideal Exit Velocity - (Measured in Meter per Second) - Ideal Exit Velocity is the velocity at the exit of nozzle, it does not includes losses due to external factors.
Specific Heat at Constant Pressure - (Measured in Joule per Kilogram per K) - Specific heat at constant pressure is the energy required to raise the temperature of the unit mass of a substance by one degree as the pressure is maintained constant.
Nozzle Temperature - (Measured in Kelvin) - Nozzle Temperature is the temperature of gases expanding the nozzle.
Pressure Ratio - Pressure Ratio for the reversible nozzle is the ratio of the ambient pressure to the inlet pressure.
Specific Heat Ratio - The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume of the flowing fluid for non-viscous and compressible flow.

STEP 1: Convert Input(s) to Base Unit

Specific Heat at Constant Pressure: 1248 Joule per Kilogram per K --> 1248 Joule per Kilogram per K No Conversion Required
Nozzle Temperature: 244 Kelvin --> 244 Kelvin No Conversion Required
Pressure Ratio: 0.79 --> No Conversion Required
Specific Heat Ratio: 1.4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_ideal = sqrt(2*C_p*T*(1-(P_r)^((γ-1)/(γ)))) --> sqrt(2*1248*244*(1-(0.79)^((1.4-1)/(1.4))))

Evaluating ... ...

C_ideal = 199.164639851496

STEP 3: Convert Result to Output's Unit

199.164639851496 Meter per Second --> No Conversion Required

FINAL ANSWER

199.164639851496 ≈ 199.1646 Meter per Second <-- Ideal Exit Velocity

(Calculation completed in 00.004 seconds)

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Created by Shreyash

Rajiv Gandhi Institute of Technology (RGIT), Mumbai

Shreyash has created this Calculator and 10+ more calculators!

Verified by Akshat Nama

Indian Institute of Information Technology, Design And Manufacturing (IIITDM ), Jabalpur

Akshat Nama has verified this Calculator and 10+ more calculators!

< 8 Nozzle Calculators

Reversible Nozzle Jet Velocity

Go Ideal Exit Velocity = sqrt(2*Specific Heat at Constant Pressure*Nozzle Temperature*(1-(Pressure Ratio)^((Specific Heat Ratio-1)/(Specific Heat Ratio))))

Kinetic Energy of Exhaust Gases

Go Kinetic Energy of Gas = 1/2*Ideal Mass Flow Rate*(1+Fuel to Air Ratio)*Ideal Exit Velocity^2

Jet velocity given temperature drop

Go Ideal Exit Velocity = sqrt(2*Specific Heat at Constant Pressure*Temperature Drop)

Discharge Coefficient given Mass Flow

Go Discharge Coefficient = Actual Mass Flow Rate/Ideal Mass Flow Rate

Discharge Coefficient given Flow Area

Go Discharge Coefficient = Actual Nozzle Flow Area/Nozzle Throat Area

Velocity Coefficient

Go Velocity Coefficient = Actual Exit Velocity/Ideal Exit Velocity

Ideal Exhaust Velocity given Enthalpy Drop

Go Ideal Exit Velocity = sqrt(2*Enthalpy Drop in Nozzle)

Velocity Coefficient given Nozzle Efficiency

Go Velocity Coefficient = sqrt(Nozzle Efficiency)

Reversible Nozzle Jet Velocity Formula

Specific Heat of mixed gas

It is the specific heat required for the mixing of the core and the bypass streams in the jet pipe upstream of the final propelling nozzle.

Pressure Ratio

Pressure Ratio is ratio of the final pressure to the initial pressure. The pressure across the fan is in the range 2 to 5, but for high-speed flight the inlet stagnation pressure is much higher than the ambient pressure, so the ratio may get as high as 16. For the nozzle to be reasonably efficient at pressure ratio of 16, it is important that it be of the convergent-divergent form.

How to Calculate Reversible Nozzle Jet Velocity?

Reversible Nozzle Jet Velocity calculator uses Ideal Exit Velocity = sqrt(2*Specific Heat at Constant Pressure*Nozzle Temperature*(1-(Pressure Ratio)^((Specific Heat Ratio-1)/(Specific Heat Ratio)))) to calculate the Ideal Exit Velocity, The Reversible Nozzle Jet Velocity formula calculates the jet velocity for a reversible nozzle if the specific heat, temperature, pressure ratio, and specific heat ratio for an engine is given. Ideal Exit Velocity is denoted by C_ideal symbol.

How to calculate Reversible Nozzle Jet Velocity using this online calculator? To use this online calculator for Reversible Nozzle Jet Velocity, enter Specific Heat at Constant Pressure (C_p), Nozzle Temperature (T), Pressure Ratio (P_r) & Specific Heat Ratio (γ) and hit the calculate button. Here is how the Reversible Nozzle Jet Velocity calculation can be explained with given input values -> 197.5254 = sqrt(2*1248*244*(1-(0.79)^((1.4-1)/(1.4)))).

FAQ

What is Reversible Nozzle Jet Velocity?

The Reversible Nozzle Jet Velocity formula calculates the jet velocity for a reversible nozzle if the specific heat, temperature, pressure ratio, and specific heat ratio for an engine is given and is represented as C_ideal = sqrt(2*C_p*T*(1-(P_r)^((γ-1)/(γ)))) or Ideal Exit Velocity = sqrt(2*Specific Heat at Constant Pressure*Nozzle Temperature*(1-(Pressure Ratio)^((Specific Heat Ratio-1)/(Specific Heat Ratio)))). Specific heat at constant pressure is the energy required to raise the temperature of the unit mass of a substance by one degree as the pressure is maintained constant, Nozzle Temperature is the temperature of gases expanding the nozzle, Pressure Ratio for the reversible nozzle is the ratio of the ambient pressure to the inlet pressure & The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume of the flowing fluid for non-viscous and compressible flow.

How to calculate Reversible Nozzle Jet Velocity?

The Reversible Nozzle Jet Velocity formula calculates the jet velocity for a reversible nozzle if the specific heat, temperature, pressure ratio, and specific heat ratio for an engine is given is calculated using Ideal Exit Velocity = sqrt(2*Specific Heat at Constant Pressure*Nozzle Temperature*(1-(Pressure Ratio)^((Specific Heat Ratio-1)/(Specific Heat Ratio)))). To calculate Reversible Nozzle Jet Velocity, you need Specific Heat at Constant Pressure (C_p), Nozzle Temperature (T), Pressure Ratio (P_r) & Specific Heat Ratio (γ). With our tool, you need to enter the respective value for Specific Heat at Constant Pressure, Nozzle Temperature, Pressure Ratio & Specific Heat Ratio 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 Ideal Exit Velocity?

In this formula, Ideal Exit Velocity uses Specific Heat at Constant Pressure, Nozzle Temperature, Pressure Ratio & Specific Heat Ratio. We can use 2 other way(s) to calculate the same, which is/are as follows -

Ideal Exit Velocity = sqrt(2*Enthalpy Drop in Nozzle)
Ideal Exit Velocity = sqrt(2*Specific Heat at Constant Pressure*Temperature Drop)

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