Can Calculus be Applied to Air Conditioning?

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Discussion Overview

The discussion revolves around the application of calculus in the context of air conditioning and heating systems. Participants explore potential projects that integrate calculus with practical aspects of HVAC (heating, ventilation, and air conditioning), particularly focusing on load calculations and airflow dynamics.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant seeks project ideas that connect calculus with air conditioning, suggesting load calculations as a possible area of focus.
  • Another participant proposes examining airflow in ductwork rather than delving into thermodynamics or psychrometrics, asking about the original poster's background in these subjects.
  • The original poster indicates limited experience in thermodynamics and fluid mechanics but has covered differential and integral calculus.
  • A suggestion is made to create equations that estimate the heat load on a building from solar exposure throughout the day, which could inform HVAC sizing.
  • Participants request guidance on where to find relevant equations and literature for their research.
  • Resources such as the ASME website and engineering index are recommended for research purposes.
  • It is mentioned that heating load equations may be found in structural design manuals or local code books.

Areas of Agreement / Disagreement

Participants generally agree on the relevance of calculus to HVAC applications, but there are varying opinions on the specific areas of focus and the extent to which models can be simplified or made up.

Contextual Notes

Participants express uncertainty about their knowledge of thermodynamics and fluid mechanics, which may limit their ability to apply calculus effectively in this context. There is also a lack of consensus on the specific equations or models to use.

Who May Find This Useful

This discussion may be useful for students and professionals interested in the intersection of calculus and HVAC systems, particularly those looking for project ideas or research resources.

juicev85
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i am trying to come up with a project that relates calculus and air conditioning/ heating. I work for an air conditioning company and I am taking a Calculus course in college and we are supposed to do a project that outlines a practical application for calculus. I was thinking perhaps calculus has something to do with the load calcs or something if anyone has any suggestions or where I could get some literature on the subject.
 
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You might have an easier time getting into the flow of air in duct work instead of the thermodynamics/psychometric end of things. Have you studied any thermo or fluid mechanics?

Have you covered both differential and integral calc? How about any vector calculus? Knowing what you have covered will help with the suggestions you receive.
 
I have limited experience in thermodynamics and fluid mechanics. I have covered both differential and integral calculus. i have not done any vector calculus.

any help would be greatly appreciated, thanks.
 
Uhm... how much needs to be real, and how much of the model can be made up?

How about coming up with some equations (either real or just ballparked for the sake of simplicity) which describe the heat load on a building from the sun over the course of the day. You could then size the HVAC to handle the loads.
 
That sounds great! Can you give me some hints as to where I can start as far as the equations. How would I find literature or websites for research relating to that.
 
Try ASME website or engineering index.

In order to do research, you need to have some web access. You should be able to get access from a university library.
 
I'm sure that there are heating load equations in structural design manuals or local code books.
 

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