Work Done By Engine/Heat Engine

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SUMMARY

The discussion focuses on calculating the work done by a heat engine cycle, specifically using the Otto and Diesel cycles. Key methods include graphical representation via P-v diagrams and numerical calculations using specific equations for work. The participant mentions formulas for work under constant volume, constant pressure, and constant temperature conditions. Additionally, there is uncertainty regarding whether the process is isothermal or polytropic, which is crucial for accurate calculations.

PREREQUISITES
  • Understanding of P-v diagrams in thermodynamics
  • Familiarity with the Otto and Diesel cycles
  • Knowledge of enthalpy and energy values from air tables
  • Basic equations for work in thermodynamic processes
NEXT STEPS
  • Research the differences between isothermal and polytropic processes in thermodynamics
  • Learn how to construct and interpret P-v diagrams for heat engines
  • Study the application of the first law of thermodynamics in calculating work done
  • Explore advanced topics in thermodynamic cycles, including efficiency calculations
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Students and professionals in mechanical engineering, thermodynamics enthusiasts, and anyone involved in the design or analysis of heat engines.

EngNoob
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Hi

Can some one help me out on how to calculate the work done by a cycle/heat engine?

I am looking to calculate this in a graphical form, using P-v diagram and a numerical form, using an equation of work.

I have state/process data for for cycle for volume an pressure for point 1-2/2-3/3-4/4-1.

I have a compression and expansion index.

If anyone could help me out with the equation to use i would be real happy.

If anyone can point me in the direction of some further reading on this subject i would be greatful too.
 
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What kind of cycle? Get your air tables out and look up the enthalpy/energy values.
Then you calculate the net work as a sum of the difference in enthalpies for the points that generate or input work.
 
The Cycle would be "Otto" or "Diesel" heat engine.

I think i have the formulas.

Constant Volume: W = 0

Constant Pressure: W = P(V_2 - V_1)

Constant Tempreture: W = P_2 * V_2 * ln (V_2/V_1)

However, i am unsure if i am working with an ISOTHERMAL process vs POLYTROPIC process.

The pressure increases whilst the volume decreases, does this indicate Polytropic or Isothermal
 
Hi there:

Check out your post on compression and expansion.

The same material covers this post.

Here are two plots regarding the performance of Otto Cycle and Diesel Cycle.

Slide44.GIF


Slide51.GIF


Thanks,

Gordan
 
Last edited:
I have encountered a vertically oriented hydraulic cylinder that is designed to actuate and slice heavy cabling into sections with a blade. The cylinder is quite small (around 1.5 inches in diameter) and has an equally small stroke. The cylinder is single acting (i.e. it is pressurized from the bottom, and vented to atmosphere with a spring return, roughly 200lbs of force on the spring). The system operates at roughly 2500 psi. Interestingly, the cylinder has a pin that passes through its...

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