Interesting Heating and Cooling topics?

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SUMMARY

This discussion focuses on various topics related to heating and cooling, particularly in the context of kinetic theory, ideal gas laws, and energy conservation. Key suggestions include investigating the "Heat Death of the Universe" and solving partial differential equations (PDEs) related to heat distribution in a square metal sheet. Additionally, modeling the efficiency of heat pumps or air conditioners based on average daily temperatures is highlighted as a comprehensive approach to cover multiple relevant concepts. The discussion emphasizes the interconnectedness of these topics in thermodynamics and energy transfer.

PREREQUISITES
  • Kinetic theory of gases
  • Ideal gas laws
  • Partial differential equations (PDEs)
  • Thermodynamics principles including heat transfer and energy conservation
NEXT STEPS
  • Research the "Heat Death of the Universe" and its implications in thermodynamics
  • Learn how to solve partial differential equations (PDEs) related to heat distribution
  • Investigate the modeling of heat pump efficiency as a function of temperature
  • Explore the principles of water injection in internal combustion engines
USEFUL FOR

Students studying thermodynamics, researchers in energy systems, and professionals in HVAC (heating, ventilation, and air conditioning) looking to deepen their understanding of heat transfer and energy conservation principles.

AHUGEMUSHROOM
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I have to present an investigation on a topic that is related to healing and cooling. In class we're studying kinetic theory, ideal gas laws, heat, temperature, specific capacity, change of state, boiling and evaporation, energy conservation and degradation, and the transfer of heat.

Are there any interesting topics relating to the above?

I was thinking of presenting an investigation on "Heat Death of the Universe". Would this be relevant to the above areas of interest?

Thanks
 
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If you can solve some PDEs, try solving the problem that lead to Fourier's discovery of the famous series named after him.
Essentially, let's say we have a square metal sheet with uniform qualities, and we heat one side proportional to the distance from an adjacent edge on the sheet, how would the heat spread?
 
How about modeling the efficiency of a a heat pump/air conditioner on an insulated house as a function of average daily temperature over a year. This covers just about all of your topics - heating, cooling, ideal gas, specific capacity, boiling, evaporation, conservation of energy , etc.
 
Water injection for internal combustion engines.
 

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