Calculating Initial & Final Enthalpy, Kinetic Energy & Power in a Turbine

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SUMMARY

The discussion focuses on calculating the initial and final enthalpy, change in kinetic energy, and power generated in a turbine operating under steady-flow conditions. The turbine receives steam at 15 bar with a specific internal energy of 2594.5 kJ/kg and exits at 30 kPa with a specific internal energy of 2060.3 kJ/kg. The calculations involve using the mass flow rate of 0.4 kg/s, velocities of 30 m/s and 90 m/s, and a heat rejection rate of 2000 W to determine the thermodynamic properties and performance metrics of the turbine.

PREREQUISITES
  • Understanding of thermodynamic principles, specifically enthalpy and kinetic energy
  • Familiarity with the first law of thermodynamics as applied to steady-flow systems
  • Knowledge of steam properties, including specific volume and internal energy
  • Ability to perform calculations involving mass flow rates and power generation
NEXT STEPS
  • Learn how to calculate enthalpy changes in steam using steam tables
  • Study the application of the first law of thermodynamics in turbine systems
  • Explore the concept of specific energy and its role in turbine efficiency
  • Investigate methods for calculating power output in thermodynamic cycles
USEFUL FOR

Mechanical engineers, thermodynamics students, and professionals involved in turbine design and analysis will benefit from this discussion.

KAM123
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A turbine operates under steady-flow conditions. It receives steam at a pressure of 15 bar, specific volume of 0.1318 m³/kg, velocity of 30 m/s and specific internal energy of 2594.5 kJ/kg. The steam leaves the turbine at a pressure of 30 kPa, velocity of 90 m/s, specific volume of 4.25 m³/kg and specific internal energy of 2060.3 kJ/kg. Heat is rejected to the surroundings at a rate of 2000 W. Steam flows through the turbine at a rate of 0.4 kg/s.

how would we calculate initial enthalpy and the final enthalpy, change in kinetic energy of steam (per unit mass of steam). and the power generated.
 
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