Specific Heat of mixed out gas Calculator

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✖Specific Heat of Core Gas gives the value of the quantity of heat required to raise the temperature of one gram of a substance by one Celsius degree for the core gas flowing in the engine.ⓘ Specific Heat of Core Gas [C_pe]			+10% -10%
✖Bypass Ratio represents the ratio of the mass of air that bypasses a turbofan engine's core to the mass of air that passes through the engine core.ⓘ Bypass Ratio [β]			+10% -10%
✖Specific Heat of Bypass Air refers to the amount of heat required to raise the temperature of a unit mass of the air that bypasses the core of a turbofan engine.ⓘ Specific Heat of Bypass Air [C_p,β]			+10% -10%

✖Specific Heat of Mixed Gas is the specific heat for the mixing of the core and the bypass streams in the jet pipe upstream of the final propelling nozzle.ⓘ Specific Heat of mixed out gas [C_p,m]

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Formula

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Specific Heat of mixed out gas

Formula

`"C"_{"p,m"} = ("C"_{"pe"}+"β"*"C"_{"p,β"})/(1+"β")`

Example

`"1043.344J/(kg*K)"=("1244J/(kg*K)"+"5.1"*"1004J/(kg*K)")/(1+"5.1")`

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Download Thermodynamics and Governing Equations Formulas PDF

Specific Heat of mixed out gas Solution

STEP 0: Pre-Calculation Summary

Formula Used

Specific Heat of Mixed Gas = (Specific Heat of Core Gas+Bypass Ratio*Specific Heat of Bypass Air)/(1+Bypass Ratio)
C_p,m = (C_pe+β*C_p,β)/(1+β)
This formula uses 4 Variables

Variables Used

Specific Heat of Mixed Gas - (Measured in Joule per Kilogram per K) - Specific Heat of Mixed Gas is the specific heat for the mixing of the core and the bypass streams in the jet pipe upstream of the final propelling nozzle.
Specific Heat of Core Gas - (Measured in Joule per Kilogram per K) - Specific Heat of Core Gas gives the value of the quantity of heat required to raise the temperature of one gram of a substance by one Celsius degree for the core gas flowing in the engine.
Bypass Ratio - Bypass Ratio represents the ratio of the mass of air that bypasses a turbofan engine's core to the mass of air that passes through the engine core.
Specific Heat of Bypass Air - (Measured in Joule per Kilogram per K) - Specific Heat of Bypass Air refers to the amount of heat required to raise the temperature of a unit mass of the air that bypasses the core of a turbofan engine.

STEP 1: Convert Input(s) to Base Unit

Specific Heat of Core Gas: 1244 Joule per Kilogram per K --> 1244 Joule per Kilogram per K No Conversion Required
Bypass Ratio: 5.1 --> No Conversion Required
Specific Heat of Bypass Air: 1004 Joule per Kilogram per K --> 1004 Joule per Kilogram per K No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_p,m = (C_pe+β*C_p,β)/(1+β) --> (1244+5.1*1004)/(1+5.1)

Evaluating ... ...

C_p,m = 1043.34426229508

STEP 3: Convert Result to Output's Unit

1043.34426229508 Joule per Kilogram per K --> No Conversion Required

FINAL ANSWER

1043.34426229508 ≈ 1043.344 Joule per Kilogram per K <-- Specific Heat of Mixed Gas

(Calculation completed in 00.004 seconds)

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Created by Shreyash

Rajiv Gandhi Institute of Technology (RGIT), Mumbai

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

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< 19 Thermodynamics and Governing Equations Calculators

Max work output in Brayton cycle

Go Maximum Work done in Brayton Cycle = (1005*1/Compressor Efficiency)*Temperature at Inlet of Compressor in Brayton*(sqrt(Temperature at Inlet to Turbine in Brayton Cycle/Temperature at Inlet of Compressor in Brayton*Compressor Efficiency*Turbine Efficiency)-1)^2

Choked Mass Flow Rate given specific heat ratio

Go Choked Mass Flow Rate = (Heat Capacity Ratio/(sqrt(Heat Capacity Ratio-1)))*((Heat Capacity Ratio+1)/2)^(-((Heat Capacity Ratio+1)/(2*Heat Capacity Ratio-2)))

Choked Mass Flow Rate

Go Choked Mass Flow Rate = (Mass Flow Rate*sqrt(Specific Heat Capacity at Constant Pressure*Temperature))/(Nozzle Throat Area*Throat Pressure)

Stagnation Velocity of Sound given Specific Heat at Constant Pressure

Go Stagnation Velocity of Sound = sqrt((Heat Capacity Ratio-1)*Specific Heat Capacity at Constant Pressure*Stagnation Temperature)

Specific Heat of mixed out gas

Go Specific Heat of Mixed Gas = (Specific Heat of Core Gas+Bypass Ratio*Specific Heat of Bypass Air)/(1+Bypass Ratio)

Stagnation Temperature

Go Stagnation Temperature = Static Temperature+(Flow Velocity Downstream of Sound^2)/(2*Specific Heat Capacity at Constant Pressure)

Stagnation Velocity of Sound

Go Stagnation Velocity of Sound = sqrt(Heat Capacity Ratio*[R]*Stagnation Temperature)

Speed of Sound

Go Speed of Sound = sqrt(Specific Heat Ratio*[R-Dry-Air]*Static Temperature)

Stagnation Velocity of Sound given Stagnation Enthalpy

Go Stagnation Velocity of Sound = sqrt((Heat Capacity Ratio-1)*Stagnation Enthalpy)

Heat Capacity Ratio

Go Heat Capacity Ratio = Specific Heat Capacity at Constant Pressure/Specific Heat Capacity at Constant Volume

Efficiency of cycle

Go Efficiency of Cycle = (Turbine Work-Compressor Work)/Heat

Internal Energy of Perfect Gas at given Temperature

Go Internal Energy = Specific Heat Capacity at Constant Volume*Temperature

Enthalpy of Ideal Gas at given Temperature

Go Enthalpy = Specific Heat Capacity at Constant Pressure*Temperature

Stagnation enthalpy

Go Stagnation Enthalpy = Enthalpy+(Velocity of Fluid Flow^2)/2

Efficiency of Joule cycle

Go Efficiency of Joule Cycle = Net Work Output/Heat

Pressure Ratio

Go Pressure Ratio = Final Pressure/Initial Pressure

Work ratio in practical cycle

Go Work Ratio = 1-(Compressor Work/Turbine Work)

Mach Number

Go Mach Number = Speed of Object/Speed of Sound

Mach Angle

Go Mach Angle = asin(1/Mach Number)

Specific Heat of mixed out gas Formula

Specific Heat of Mixed Gas = (Specific Heat of Core Gas+Bypass Ratio*Specific Heat of Bypass Air)/(1+Bypass Ratio)
C_p,m = (C_pe+β*C_p,β)/(1+β)

Bypass Ratio (bpr)

The Bypass Ratio formula is the ratio of the mass flowing through the core to the mass flow of air leaving the core of the turbojet engine.

Specific Heat

The Specific Heat is the amount of heat per unit mass required to raise the temperature by one degree Celsius.

How to Calculate Specific Heat of mixed out gas?

Specific Heat of mixed out gas calculator uses Specific Heat of Mixed Gas = (Specific Heat of Core Gas+Bypass Ratio*Specific Heat of Bypass Air)/(1+Bypass Ratio) to calculate the Specific Heat of Mixed Gas, The Specific Heat of mixed out gas formula calculates the specific heat of a mixed gas by an approximation method based on the relative mass of core gas and bypass air. It requires important parameters such as the bypass ratio, specific heat of core gas, and bypass air. Specific Heat of Mixed Gas is denoted by C_p,m symbol.

How to calculate Specific Heat of mixed out gas using this online calculator? To use this online calculator for Specific Heat of mixed out gas, enter Specific Heat of Core Gas (C_pe), Bypass Ratio (β) & Specific Heat of Bypass Air (C_p,β) and hit the calculate button. Here is how the Specific Heat of mixed out gas calculation can be explained with given input values -> 1043.344 = (1244+5.1*1004)/(1+5.1).

FAQ

What is Specific Heat of mixed out gas?

The Specific Heat of mixed out gas formula calculates the specific heat of a mixed gas by an approximation method based on the relative mass of core gas and bypass air. It requires important parameters such as the bypass ratio, specific heat of core gas, and bypass air and is represented as C_p,m = (C_pe+β*C_p,β)/(1+β) or Specific Heat of Mixed Gas = (Specific Heat of Core Gas+Bypass Ratio*Specific Heat of Bypass Air)/(1+Bypass Ratio). Specific Heat of Core Gas gives the value of the quantity of heat required to raise the temperature of one gram of a substance by one Celsius degree for the core gas flowing in the engine, Bypass Ratio represents the ratio of the mass of air that bypasses a turbofan engine's core to the mass of air that passes through the engine core & Specific Heat of Bypass Air refers to the amount of heat required to raise the temperature of a unit mass of the air that bypasses the core of a turbofan engine.

How to calculate Specific Heat of mixed out gas?

The Specific Heat of mixed out gas formula calculates the specific heat of a mixed gas by an approximation method based on the relative mass of core gas and bypass air. It requires important parameters such as the bypass ratio, specific heat of core gas, and bypass air is calculated using Specific Heat of Mixed Gas = (Specific Heat of Core Gas+Bypass Ratio*Specific Heat of Bypass Air)/(1+Bypass Ratio). To calculate Specific Heat of mixed out gas, you need Specific Heat of Core Gas (C_pe), Bypass Ratio (β) & Specific Heat of Bypass Air (C_p,β). With our tool, you need to enter the respective value for Specific Heat of Core Gas, Bypass Ratio & Specific Heat of Bypass Air and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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