Work ratio in practical cycle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Work Ratio = 1-(Compressor Work/Turbine Work)
W = 1-(Wc/WT)
This formula uses 3 Variables
Variables Used
Work Ratio - Work ratio defined as the ratio of net work to the total turbine work.
Compressor Work - (Measured in Joule) - Compressor Work is the work done by the compressor.
Turbine Work - (Measured in Joule) - Turbine Work represents the work done by a turbine in converting the thermal energy of a fluid into mechanical energy.
STEP 1: Convert Input(s) to Base Unit
Compressor Work: 315 Kilojoule --> 315000 Joule (Check conversion ​here)
Turbine Work: 600 Kilojoule --> 600000 Joule (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
W = 1-(Wc/WT) --> 1-(315000/600000)
Evaluating ... ...
W = 0.475
STEP 3: Convert Result to Output's Unit
0.475 --> No Conversion Required
FINAL ANSWER
0.475 <-- Work Ratio
(Calculation completed in 00.004 seconds)

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Institute of Aeronautical Engineering (IARE), Hyderabad
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University Institute of Technology RGPV (UIT - RGPV), Bhopal
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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)

Work ratio in practical cycle Formula

Work Ratio = 1-(Compressor Work/Turbine Work)
W = 1-(Wc/WT)

What is work?

Work performed by a system is the energy transferred by the system to its surroundings. Kinetic energy, potential energy and internal energy are forms of energy that are properties of a system. Work is a form of energy, but it is energy in transit.

How to Calculate Work ratio in practical cycle?

Work ratio in practical cycle calculator uses Work Ratio = 1-(Compressor Work/Turbine Work) to calculate the Work Ratio, The Work ratio in practical cycle formula is defined as the difference of unity and ratio of work of compressor to the work of turbine. Work Ratio is denoted by W symbol.

How to calculate Work ratio in practical cycle using this online calculator? To use this online calculator for Work ratio in practical cycle, enter Compressor Work (Wc) & Turbine Work (WT) and hit the calculate button. Here is how the Work ratio in practical cycle calculation can be explained with given input values -> 0.475 = 1-(315000/600000).

FAQ

What is Work ratio in practical cycle?
The Work ratio in practical cycle formula is defined as the difference of unity and ratio of work of compressor to the work of turbine and is represented as W = 1-(Wc/WT) or Work Ratio = 1-(Compressor Work/Turbine Work). Compressor Work is the work done by the compressor & Turbine Work represents the work done by a turbine in converting the thermal energy of a fluid into mechanical energy.
How to calculate Work ratio in practical cycle?
The Work ratio in practical cycle formula is defined as the difference of unity and ratio of work of compressor to the work of turbine is calculated using Work Ratio = 1-(Compressor Work/Turbine Work). To calculate Work ratio in practical cycle, you need Compressor Work (Wc) & Turbine Work (WT). With our tool, you need to enter the respective value for Compressor Work & Turbine Work 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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