Penguin huddling -Heat transfer mechanisms -Radiation problem

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SUMMARY

The discussion centers on the heat transfer mechanisms of emperor penguins huddling in groups to minimize radiation loss. A model was proposed where a single penguin is represented as a circular cylinder with a top surface area of 0.34 m² and a height of 1.1 m. The conclusion drawn from the calculations indicates that huddling reduces total radiation loss by 85% compared to 1000 separate penguins radiating heat individually. Verification of this percentage is sought from the forum participants.

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  • Understanding of basic heat transfer principles
  • Familiarity with geometric modeling of cylindrical shapes
  • Knowledge of radiation heat loss calculations
  • Basic proficiency in mathematical problem-solving
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This discussion is beneficial for students studying thermodynamics, biologists researching animal behavior, and environmental scientists interested in adaptation strategies of species in extreme climates.

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Homework Statement



To withstand the harsh weather of the Antarctic emperor penguins huddle in groups. Assume that a penguin is a circular cylinder with a top surface area of 0.34m2 and a height of 1.1m. If penguins huddled closely to form a huddled culinder with a top surface area of Na and height h by what percentage does huddling reduce the total radiation loss compared to if 1000 separate identical penguins radiated heat alone.


The Attempt at a Solution



I ended up with the solution of 85%. Can anyone verify this? I just want to see if my solution is right. I'm not looking for anyone to post the full solution just verification. Thanks guys
 
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