Degree of Reaction for Compressor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Degree of Reaction = (Enthalpy Increase in Rotor)/(Enthalpy Increase in Stage)
R = (ΔErotor increase)/(ΔEstage increase)
This formula uses 3 Variables
Variables Used
Degree of Reaction - Degree of reaction is defined as the rate of energy transfer by virtue of change of static pressure to the total energy transfer.
Enthalpy Increase in Rotor - (Measured in Joule) - Enthalpy increase in rotor is the increase in the amount of energy.
Enthalpy Increase in Stage - (Measured in Joule) - Enthalpy increase in stage is the increase in the amount of energy.
STEP 1: Convert Input(s) to Base Unit
Enthalpy Increase in Rotor: 3 Kilojoule --> 3000 Joule (Check conversion here)
Enthalpy Increase in Stage: 12 Kilojoule --> 12000 Joule (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
R = (ΔErotor increase)/(ΔEstage increase) --> (3000)/(12000)
Evaluating ... ...
R = 0.25
STEP 3: Convert Result to Output's Unit
0.25 --> No Conversion Required
FINAL ANSWER
0.25 <-- Degree of Reaction
(Calculation completed in 00.004 seconds)

Credits

Created by Chilvera Bhanu Teja
Institute of Aeronautical Engineering (IARE), Hyderabad
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14 Compressor Calculators

Efficiency of compressor in actual gas turbine cycle
Go Isentropic Efficiency of Compressor = (Temperature at Compressor Exit-Temperature at Compressor Inlet)/(Actual Temperature at Compressor Exit-Temperature at Compressor Inlet)
Minimum Temperature Ratio
Go Temperature Ratio = (Pressure Ratio^((Heat Capacity Ratio-1)/Heat Capacity Ratio))/(Isentropic Efficiency of Compressor*Efficiency of Turbine)
Efficiency of Compressor given Enthalpy
Go Isentropic Efficiency of Compressor = (Ideal Enthalpy after Compression-Enthalpy at Compressor Inlet)/(Actual Enthalpy after Compression-Enthalpy at Compressor Inlet)
Work Required to Drive Compressor Including Mechanical Losses
Go Compressor Work = (1/Mechanical Efficiency)*Specific Heat Capacity at Constant Pressure*(Temperature at Compressor Exit-Temperature at Compressor Inlet)
Shaft Work in Compressible Flow Machines
Go Shaft Work = (Enthalpy at Compressor Inlet+Compressor Inlet Velocity^2/2)-(Enthalpy at Exit of Compressor+Compressor Exit Velocity^2/2)
Tip Velocity of Impeller given Hub Diameter
Go Tip Velocity = pi*RPM/60*sqrt((Impeller Tip Diameter^2+Impeller Hub Diameter^2)/2)
Compressor Work in Gas Turbine given Temperature
Go Compressor Work = Specific Heat Capacity at Constant Pressure*(Temperature at Compressor Exit-Temperature at Compressor Inlet)
Tip Velocity of Impeller given Mean Diameter
Go Tip Velocity = pi*(2*Mean Diameter of Impeller^2-Impeller Hub Diameter^2)^0.5*RPM/60
Mean Diameter of Impeller
Go Mean Diameter of Impeller = sqrt((Impeller Tip Diameter^2+Impeller Hub Diameter^2)/2)
Impeller Outlet Diameter
Go Impeller Tip Diameter = (60*Tip Velocity)/(pi*RPM)
Degree of Reaction for Compressor
Go Degree of Reaction = (Enthalpy Increase in Rotor)/(Enthalpy Increase in Stage)
Isentropic Efficiency of Compression Machine
Go Isentropic Efficiency of Compressor = Isentropic Work Input/Actual Work Input
Compressor work
Go Compressor Work = Enthalpy at Exit of Compressor-Enthalpy at Compressor Inlet
Shaft Work in Compressible Flow Machines neglecting Inlet and Exit Velocities
Go Shaft Work = Enthalpy at Compressor Inlet-Enthalpy at Exit of Compressor

Degree of Reaction for Compressor Formula

Degree of Reaction = (Enthalpy Increase in Rotor)/(Enthalpy Increase in Stage)
R = (ΔErotor increase)/(ΔEstage increase)

What is degree of reaction?

Degree of reaction is defined as the rate of energy transfer by virtue of change of static pressure to the total energy transfer.

How to Calculate Degree of Reaction for Compressor?

Degree of Reaction for Compressor calculator uses Degree of Reaction = (Enthalpy Increase in Rotor)/(Enthalpy Increase in Stage) to calculate the Degree of Reaction, The Degree of reaction for compressor formula is defined as the ratio of enthalpy increase in rotor to enthalpy increase in stage. Degree of Reaction is denoted by R symbol.

How to calculate Degree of Reaction for Compressor using this online calculator? To use this online calculator for Degree of Reaction for Compressor, enter Enthalpy Increase in Rotor (ΔErotor increase) & Enthalpy Increase in Stage (ΔEstage increase) and hit the calculate button. Here is how the Degree of Reaction for Compressor calculation can be explained with given input values -> 0.25 = (3000)/(12000).

FAQ

What is Degree of Reaction for Compressor?
The Degree of reaction for compressor formula is defined as the ratio of enthalpy increase in rotor to enthalpy increase in stage and is represented as R = (ΔErotor increase)/(ΔEstage increase) or Degree of Reaction = (Enthalpy Increase in Rotor)/(Enthalpy Increase in Stage). Enthalpy increase in rotor is the increase in the amount of energy & Enthalpy increase in stage is the increase in the amount of energy.
How to calculate Degree of Reaction for Compressor?
The Degree of reaction for compressor formula is defined as the ratio of enthalpy increase in rotor to enthalpy increase in stage is calculated using Degree of Reaction = (Enthalpy Increase in Rotor)/(Enthalpy Increase in Stage). To calculate Degree of Reaction for Compressor, you need Enthalpy Increase in Rotor (ΔErotor increase) & Enthalpy Increase in Stage (ΔEstage increase). With our tool, you need to enter the respective value for Enthalpy Increase in Rotor & Enthalpy Increase in Stage 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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