Optimizing Air Conditioning Efficiency Using Calculus

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A project connecting calculus with air conditioning and heating could focus on load calculations, which are essential for determining system requirements. Exploring the heat flow equation through partial differential equations offers insights into climate control applications. Additionally, analyzing window placements can reveal how they impact heating and cooling needs throughout the day. Existing HVAC literature provides substantial information on these topics, making them accessible for project development. Overall, these approaches effectively demonstrate practical applications of calculus in the HVAC industry.
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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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If you get into partial differential equations, then the heat flow equation has applilcations to climate control and AC.
 
Does anyone else have any suggestions on a project that has anything to do with air conditioning/heating, i haven't done partial differential equations.
 
You might do somthing with the locations of the windows and how much cooling or heating power you would need during the day. Most of this has been workedout and you could find it in a HVAC book, but wouldn't be too hard to reproduce.
 
Topic about reference frames, center of rotation, postion of origin etc Comoving ref. frame is frame that is attached to moving object, does that mean, in that frame translation and rotation of object is zero, because origin and axes(x,y,z) are fixed to object? Is it same if you place origin of frame at object center of mass or at object tail? What type of comoving frame exist? What is lab frame? If we talk about center of rotation do we always need to specified from what frame we observe?

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