Calculation of mass flow rate of 50MW

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Discussion Overview

The discussion revolves around calculating the mass flow rates of air and fuel in a gas turbine engine with an output of 50MW. Participants are exploring the relationships between various parameters such as temperature, pressure, and efficiency across different components of the engine, including the compressor, combustor, and turbine.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant seeks assistance in calculating the mass flow rates at various points in the gas turbine system, specifically at the compressor, combustor, and turbine.
  • Another participant states that the mass flow remains constant throughout the engine, but gas velocity varies based on design and flow characteristics.
  • A later post reiterates the need for the mass flow rate through the fan for the specified gas turbine output.
  • One participant requests more information about the engine configuration and design calculations to better assist with the mass flow rate calculations.
  • A participant provides specific temperature and pressure values for different stages of the gas turbine, along with efficiencies, and reiterates the need for mass flow rates at each stage.
  • Another participant questions how the turbine output power was determined without knowing the mass flow rate at the power turbine.
  • One participant suggests that the available data can be used to compute the power output per unit mass flow rate to find the necessary flow rate for achieving 50MW.

Areas of Agreement / Disagreement

Participants express differing views on the calculation of mass flow rates and the implications of the provided data. There is no consensus on the method to determine the mass flow rates or the relationship between power output and mass flow.

Contextual Notes

Participants have not resolved the assumptions regarding the mass flow rates at different stages, and there are unresolved mathematical steps related to the calculations needed to achieve the specified power output.

Who May Find This Useful

Individuals interested in gas turbine design, thermodynamics, and engineering calculations may find this discussion relevant.

JK Gowdham
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Hi i have calculated compressor , combustor , turbine inlet and outlet temperature , pressure so on and my output of gas turbine is 50MW , So for this i want to calculate the mass flow rate of air and fuel in compressor , combustor , turbine . Like m0=?,m1=?fan inlet,m2=? compressor inlet,m3=? combustor inlet,m4=turbine inlet?and massflow rate of fuel mf=? Kindly help me out soon as possible ...
 
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The mass flow is the same throughout the engine; but, the gas velocity will vary depending upon the design and flow characteristics of each section of the engine.
 
JBA said:
The mass flow is the same throughout the engine; but, the gas velocity will vary depending upon the design and flow characteristics of each section of the engine.
so what will be the mass flow rate through the fan for gas turbine of 50mw ...
 
Please describe the engine configuration and and show us your design calculations .
 
Simple single shaft gas turbine one compressor , one turbine . T1 COMPRESSOR inlet=288K,T2 combustor inlet=792.70K,T3 combustor outlet=1500K,T4 turbine outlet=733.50K, same points like pressure P1=101 kpa, P2=1800 kpa , p 3 = 1800 kpa , P4= 101 kpa ... compressor efficiency = 0.88 , combustion chamber eff = 0.98, turbine eff = 0.9, mechanical efficiency = 0.98 . finally turbine output power is = 50 Mw .. here i need mass flow rate for all stages like M1 = compressor mass flow rate,M2 = combustor mass flow rate ,M3 = turbine mass flow rate ,Mf =Mass flow rate of fuel ?
 
If you don't know the mass flow at the power turbine, how did you determine the turbine output power to be 50 mW?
 
You have all the data in the problem statement to compute power output / unit mass flow rate and then find out flow rate to achieve 50MW.
 

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