Work Required to Drive Compressor Including Mechanical Losses Solution

STEP 0: Pre-Calculation Summary
Formula Used
Compressor Work = (1/Mechanical Efficiency)*Specific Heat Capacity at Constant Pressure*(Temperature at Compressor Exit-Temperature at Compressor Inlet)
Wc = (1/ηm)*Cp*(T2-T1)
This formula uses 5 Variables
Variables Used
Compressor Work - (Measured in Joule) - Compressor Work is the work done by the compressor.
Mechanical Efficiency - Mechanical Efficiency the ratio of the power delivered by a mechanical system to the power supplied to it.
Specific Heat Capacity at Constant Pressure - (Measured in Joule per Kilogram per K) - Specific Heat Capacity at Constant Pressure means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant pressure.
Temperature at Compressor Exit - (Measured in Kelvin) - Temperature at Compressor Exit is the temperature of the gases exiting the compressor.
Temperature at Compressor Inlet - (Measured in Kelvin) - Temperature at Compressor Inlet is the temperature of the gases entering the compressor.
STEP 1: Convert Input(s) to Base Unit
Mechanical Efficiency: 0.99 --> No Conversion Required
Specific Heat Capacity at Constant Pressure: 1.248 Kilojoule per Kilogram per K --> 1248 Joule per Kilogram per K (Check conversion here)
Temperature at Compressor Exit: 420 Kelvin --> 420 Kelvin No Conversion Required
Temperature at Compressor Inlet: 298.15 Kelvin --> 298.15 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Wc = (1/ηm)*Cp*(T2-T1) --> (1/0.99)*1248*(420-298.15)
Evaluating ... ...
Wc = 153604.848484849
STEP 3: Convert Result to Output's Unit
153604.848484849 Joule -->153.604848484849 Kilojoule (Check conversion here)
FINAL ANSWER
153.604848484849 153.6048 Kilojoule <-- Compressor Work
(Calculation completed in 00.004 seconds)

Credits

Created by Chilvera Bhanu Teja
Institute of Aeronautical Engineering (IARE), Hyderabad
Chilvera Bhanu Teja has created this Calculator and 300+ more calculators!
Verified by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
Rajat Vishwakarma has verified this Calculator and 400+ more calculators!

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

Work Required to Drive Compressor Including Mechanical Losses Formula

Compressor Work = (1/Mechanical Efficiency)*Specific Heat Capacity at Constant Pressure*(Temperature at Compressor Exit-Temperature at Compressor Inlet)
Wc = (1/ηm)*Cp*(T2-T1)

What is work done?

Work done is a process, where energy given as input to the system is utilized to perform some useful work.

How to Calculate Work Required to Drive Compressor Including Mechanical Losses?

Work Required to Drive Compressor Including Mechanical Losses calculator uses Compressor Work = (1/Mechanical Efficiency)*Specific Heat Capacity at Constant Pressure*(Temperature at Compressor Exit-Temperature at Compressor Inlet) to calculate the Compressor Work, The Work required to drive compressor including mechanical losses formula is defined as the ratio of product of specific heat at constant pressure and difference of temperatures at exit and inlet of compressor to the mechanical efficiency. Compressor Work is denoted by Wc symbol.

How to calculate Work Required to Drive Compressor Including Mechanical Losses using this online calculator? To use this online calculator for Work Required to Drive Compressor Including Mechanical Losses, enter Mechanical Efficiency m), Specific Heat Capacity at Constant Pressure (Cp), Temperature at Compressor Exit (T2) & Temperature at Compressor Inlet (T1) and hit the calculate button. Here is how the Work Required to Drive Compressor Including Mechanical Losses calculation can be explained with given input values -> 0.253448 = (1/mechanical_efficiency)*1248*(420-298.15).

FAQ

What is Work Required to Drive Compressor Including Mechanical Losses?
The Work required to drive compressor including mechanical losses formula is defined as the ratio of product of specific heat at constant pressure and difference of temperatures at exit and inlet of compressor to the mechanical efficiency and is represented as Wc = (1/ηm)*Cp*(T2-T1) or Compressor Work = (1/Mechanical Efficiency)*Specific Heat Capacity at Constant Pressure*(Temperature at Compressor Exit-Temperature at Compressor Inlet). Mechanical Efficiency the ratio of the power delivered by a mechanical system to the power supplied to it, Specific Heat Capacity at Constant Pressure means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant pressure, Temperature at Compressor Exit is the temperature of the gases exiting the compressor & Temperature at Compressor Inlet is the temperature of the gases entering the compressor.
How to calculate Work Required to Drive Compressor Including Mechanical Losses?
The Work required to drive compressor including mechanical losses formula is defined as the ratio of product of specific heat at constant pressure and difference of temperatures at exit and inlet of compressor to the mechanical efficiency is calculated using Compressor Work = (1/Mechanical Efficiency)*Specific Heat Capacity at Constant Pressure*(Temperature at Compressor Exit-Temperature at Compressor Inlet). To calculate Work Required to Drive Compressor Including Mechanical Losses, you need Mechanical Efficiency m), Specific Heat Capacity at Constant Pressure (Cp), Temperature at Compressor Exit (T2) & Temperature at Compressor Inlet (T1). With our tool, you need to enter the respective value for Mechanical Efficiency, Specific Heat Capacity at Constant Pressure, Temperature at Compressor Exit & Temperature at Compressor Inlet 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 Compressor Work?
In this formula, Compressor Work uses Mechanical Efficiency, Specific Heat Capacity at Constant Pressure, Temperature at Compressor Exit & Temperature at Compressor Inlet. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Compressor Work = Enthalpy at Exit of Compressor-Enthalpy at Compressor Inlet
  • Compressor Work = Specific Heat Capacity at Constant Pressure*(Temperature at Compressor Exit-Temperature at Compressor Inlet)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!