Modeling cooling of a car engine

[Amy0501]

Hey, for my math IA im doing cooling of a car engine. My objective is to determine how much time it has to pass for the engine´s temperature to be okay for it to be touched. Its related to personal experience. I collected my data and got an exponential decay graph as predicted. Can you guys suggest ideas? I have some but not sure about them. 

Edited June 24, 2016 by Amy0501

[Merril889]

What maths do you plan on applying for your Math IA? The point of the IA is to use the math topics explored in the class to a topic of your choice. What are your ideas? I can read over them and give you feedback on it if you like?  Just believe in yourself and what you are doing for your Math IA and don't freak out!!! 

 

[Amy0501]

Hi, well i finished writing it. I hope its okay. I used 2 data points to get the equation, then applied newtons law of coolings, described both their limitations. Then did ln(Time-Room Temp)vs Time and did linear regression. My teacher said it wasn't enough maths and that he would´t put me more than a three because it is at a course level.He expects more complicated things. I would really appreciate your comments Thanks for your support words.

[Keel]

23 hours ago, Amy0501 said:

Hi, well i finished writing it. I hope its okay. I used 2 data points to get the equation, then applied newtons law of coolings, described both their limitations. Then did ln(Time-Room Temp)vs Time and did linear regression. My teacher said it wasn't enough maths and that he would´t put me more than a three because it is at a course level.He expects more complicated things. I would really appreciate your comments Thanks for your support words.

I'm not sure what equations you are solving for but you could solve the partial differential heat equation and do a temperature map of the engine if you approximated as a simple geometry.

https://en.wikipedia.org/wiki/Heat_equation