Actual Work done using Compressor Efficiency and Isentropic Shaft Work Solution

STEP 0: Pre-Calculation Summary
Formula Used
Actual Shaft Work = Shaft Work (Isentropic)/Compressor Efficiency
Ws = Wsisentropic/ηc
This formula uses 3 Variables
Variables Used
Actual Shaft Work - (Measured in Joule) - Actual shaft work is work done by the shaft in a turbine/ compressor.
Shaft Work (Isentropic) - (Measured in Joule) - Shaft work (Isentropic) is work done by the shaft in a turbine/ compressor when the turbine expands reversibly and adiabatically.
Compressor Efficiency - Compressor Efficiency shows how efficient the compressor is in the process.
STEP 1: Convert Input(s) to Base Unit
Shaft Work (Isentropic): 145 Joule --> 145 Joule No Conversion Required
Compressor Efficiency: 0.56 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ws = Wsisentropic/ηc --> 145/0.56
Evaluating ... ...
Ws = 258.928571428571
STEP 3: Convert Result to Output's Unit
258.928571428571 Joule --> No Conversion Required
FINAL ANSWER
258.928571428571 258.9286 Joule <-- Actual Shaft Work
(Calculation completed in 00.004 seconds)

Credits

Created by Shivam Sinha
National Institute Of Technology (NIT), Surathkal
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National Institute of Information Technology (NIIT), Neemrana
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23 Application of Thermodynamics to Flow Processes Calculators

Isentropic Work Done Rate for Adiabatic Compression Process using Gamma
Go Shaft Work (Isentropic) = [R]*(Temperature of Surface 1/((Heat Capacity Ratio-1)/Heat Capacity Ratio))*((Pressure 2/Pressure 1)^((Heat Capacity Ratio-1)/Heat Capacity Ratio)-1)
Volume Expansivity for Pumps using Entropy
Go Volume Expansivity = ((Specific Heat Capacity at Constant Pressure per K*ln(Temperature of Surface 2/Temperature of Surface 1))-Change in Entropy)/(Volume*Difference in Pressure)
Enthalpy for Pumps using Volume Expansivity for Pump
Go Change in Enthalpy = (Specific Heat Capacity at Constant Pressure per K*Overall Difference in Temperature)+(Specific Volume*(1-(Volume Expansivity*Temperature of Liquid))*Difference in Pressure)
Volume Expansivity for Pumps using Enthalpy
Go Volume Expansivity = ((((Specific Heat Capacity at Constant Pressure*Overall Difference in Temperature)-Change in Enthalpy)/(Volume*Difference in Pressure))+1)/Temperature of Liquid
Entropy for Pumps using Volume Expansivity for Pump
Go Change in Entropy = (Specific Heat Capacity*ln(Temperature of Surface 2/Temperature of Surface 1))-(Volume Expansivity*Volume*Difference in Pressure)
Isentropic Work done rate for Adiabatic Compression Process using Cp
Go Shaft Work (Isentropic) = Specific Heat Capacity*Temperature of Surface 1*((Pressure 2/Pressure 1)^([R]/Specific Heat Capacity)-1)
Overall Efficiency given Boiler, Cycle, Turbine, Generator, and Auxiliary Efficiency
Go Overall Efficiency = Boiler Efficiency*Cycle Efficiency*Turbine Efficiency*Generator Efficiency*Auxiliary Efficiency
Shaft Power
Go Shaft Power = 2*pi*Revolutions per Second*Torque Exerted on Wheel
Isentropic Change in Enthalpy using Compressor Efficiency and Actual Change in Enthalpy
Go Change in Enthalpy (Isentropic) = Compressor Efficiency*Change in Enthalpy
Compressor Efficiency using Actual and Isentropic Change in Enthalpy
Go Compressor Efficiency = Change in Enthalpy (Isentropic)/Change in Enthalpy
Actual Enthalpy Change using Isentropic Compression Efficieny
Go Change in Enthalpy = Change in Enthalpy (Isentropic)/Compressor Efficiency
Isentropic Change in Enthalpy using Turbine Efficiency and Actual Change in Enthalpy
Go Change in Enthalpy (Isentropic) = Change in Enthalpy/Turbine Efficiency
Actual Change in Enthalpy using Turbine Efficiency and Isentropic Change in Enthalpy
Go Change in Enthalpy = Turbine Efficiency*Change in Enthalpy (Isentropic)
Actual Work done using Compressor Efficiency and Isentropic Shaft Work
Go Actual Shaft Work = Shaft Work (Isentropic)/Compressor Efficiency
Isentropic Work Done using Compressor Efficiency and Actual Shaft Work
Go Shaft Work (Isentropic) = Compressor Efficiency*Actual Shaft Work
Compressor Efficiency using Actual and Isentropic Shaft Work
Go Compressor Efficiency = Shaft Work (Isentropic)/Actual Shaft Work
Actual Work Done using Turbine Efficiency and Isentropic Shaft Work
Go Actual Shaft Work = Turbine Efficiency*Shaft Work (Isentropic)
Isentropic Work Done using Turbine Efficiency and Actual Shaft Work
Go Shaft Work (Isentropic) = Actual Shaft Work/Turbine Efficiency
Turbine Efficiency using Actual and Isentropic Shaft Work
Go Turbine Efficiency = Actual Shaft Work/Shaft Work (Isentropic)
Nozzle Efficiency
Go Nozzle Efficiency = Change in Kinetic Energy/Kinetic Energy
Mass Flow Rate of Stream in Turbine (Expanders)
Go Mass Flow Rate = Work Done Rate/Change in Enthalpy
Change in Enthalpy in Turbine (Expanders)
Go Change in Enthalpy = Work Done Rate/Mass Flow Rate
Work Done Rate by Turbine (Expanders)
Go Work Done Rate = Change in Enthalpy*Mass Flow Rate

Actual Work done using Compressor Efficiency and Isentropic Shaft Work Formula

Actual Shaft Work = Shaft Work (Isentropic)/Compressor Efficiency
Ws = Wsisentropic/ηc

Explain working of compressor.

The compression of gases may be accomplished in equipment with rotating blades (like a turbine operating in reverse) or in cylinders with reciprocating pistons. Rotary equipment is used for high-volume flow where the discharge pressure is not too high. For high pressures, reciprocating compressors are often required. The energy equations are independent of the type of equipment; indeed, they are the same as for turbines or expanders because here, too, potential and kinetic energy changes are presumed negligible.

How to Calculate Actual Work done using Compressor Efficiency and Isentropic Shaft Work?

Actual Work done using Compressor Efficiency and Isentropic Shaft Work calculator uses Actual Shaft Work = Shaft Work (Isentropic)/Compressor Efficiency to calculate the Actual Shaft Work, The Actual Work done using Compressor Efficiency and Isentropic Shaft Work formula is defined as the ratio of the shaft work done by the compressor under reversible and adiabatic conditions (which is isentropic condition) to the compressor efficiency. Actual Shaft Work is denoted by Ws symbol.

How to calculate Actual Work done using Compressor Efficiency and Isentropic Shaft Work using this online calculator? To use this online calculator for Actual Work done using Compressor Efficiency and Isentropic Shaft Work, enter Shaft Work (Isentropic) (Wsisentropic) & Compressor Efficiency c) and hit the calculate button. Here is how the Actual Work done using Compressor Efficiency and Isentropic Shaft Work calculation can be explained with given input values -> 258.9286 = 145/0.56.

FAQ

What is Actual Work done using Compressor Efficiency and Isentropic Shaft Work?
The Actual Work done using Compressor Efficiency and Isentropic Shaft Work formula is defined as the ratio of the shaft work done by the compressor under reversible and adiabatic conditions (which is isentropic condition) to the compressor efficiency and is represented as Ws = Wsisentropic/ηc or Actual Shaft Work = Shaft Work (Isentropic)/Compressor Efficiency. Shaft work (Isentropic) is work done by the shaft in a turbine/ compressor when the turbine expands reversibly and adiabatically & Compressor Efficiency shows how efficient the compressor is in the process.
How to calculate Actual Work done using Compressor Efficiency and Isentropic Shaft Work?
The Actual Work done using Compressor Efficiency and Isentropic Shaft Work formula is defined as the ratio of the shaft work done by the compressor under reversible and adiabatic conditions (which is isentropic condition) to the compressor efficiency is calculated using Actual Shaft Work = Shaft Work (Isentropic)/Compressor Efficiency. To calculate Actual Work done using Compressor Efficiency and Isentropic Shaft Work, you need Shaft Work (Isentropic) (Wsisentropic) & Compressor Efficiency c). With our tool, you need to enter the respective value for Shaft Work (Isentropic) & Compressor Efficiency 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 Actual Shaft Work?
In this formula, Actual Shaft Work uses Shaft Work (Isentropic) & Compressor Efficiency. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Actual Shaft Work = Turbine Efficiency*Shaft Work (Isentropic)
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