Finding the energy dissipated per cycle in a Stirling Engine

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SUMMARY

The discussion focuses on calculating energy dissipation per cycle (WR) in a Stirling Engine experiment. Key variables include resistance (R = 500Ω), measured voltage (UR = -3.68V), revolutions per minute (n = 494), and temperatures (T1 = 150°C, T2 = 63.2°C). Power dissipation (PR) was successfully calculated as 0.027 W using the formula PR = V²/R. However, the participant encountered difficulties in determining WR, particularly in relating energy dissipation to the number of cycles per second.

PREREQUISITES
  • Understanding of Stirling Engine mechanics
  • Familiarity with electrical power calculations (PR = V²/R)
  • Knowledge of thermodynamics, specifically temperature measurements
  • Basic principles of energy dissipation in mechanical systems
NEXT STEPS
  • Calculate energy dissipation per cycle (WR) using the formula WR = PR / n
  • Explore the relationship between power dissipation and cycle frequency in Stirling Engines
  • Research methods for measuring thermal efficiency in Stirling Engines
  • Investigate the impact of resistance on energy dissipation in thermodynamic systems
USEFUL FOR

Mechanical engineers, thermodynamics students, and researchers focused on energy efficiency in Stirling Engines will benefit from this discussion.

TheBigDig
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1.Recently, we performed an experiment to measure the efficiency of the Stirling Engine. The experimental method can be seen in the image provided. We have been asked to calculate the power dissipation PR and the energy dissipation per cycle WR as part of our lab report. The other variables mentioned are R (the resistance), UR (the measured voltage), n (the revolutions per min), T1 and T2, the temperature of two thermocouples connected to the engine.
At R = 500Ω, the recorded values are: UR = -3.68V, n = 494 cycles min-1, T1 = 150°C and T2 = 63.2°C.
2.
  • PR = V2/R
  • W = P*t (where W is work, P is power and t is time)

3. I was able to calculate the Power Dissipation using the above equation (PR = 0.027 W) but I'm totally lost on finding WR. I've tried using the above equation and subbing in WR and PR and finding the time it takes for 1 cycle but that gives me a very small number when compared to the value of WpV = -2.4498J.
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If you know the energy dissipated per second, then it is a matter of knowing how many cycles per second and converting.
If there are a lot of cycles per second, then the resulting energy per cycle will be very small.
 

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