1. The Problem of Grilled Cheese
A love story of Conduction, Convection, Bread, and Cheese
By Austen Gee and Samikshya Subedi

2. The Problem
Often when making Grilled cheese sandwiches the bread burns before the cheese melts.
This is not good!
We decided to evaluate what is actually melting the cheese, convection and radiation from above or conduction through the bread so as to better be able to assess how to cook a grilled cheese sandwich.
We then compared various bread types and various cooking methods

3. Experimental procedure
We used a thermal couple to measure the temperature of the cheese. We took temperature values every 2 min. and the time it takes to reach 70 degrees Celsius (we decided 70 degrees was fully melted)
We did a few groups, first comparing conduction and convection
To distinguish conduction versus convection we used cardboard as an insulating material. 
Then we compared different breads

5. Calculating k value for white bread

6. Calculating h value for no lid free convection

10. Conclusions
White Bread is the most conductive (probably because of its lower density (about 45% faster than whole wheat bread)
Pre-heated bread makes a significant difference in the time cheese melts (about 40% times faster) 
Putting a lid on the pan significantly increases heating through convection and can greatly lower melting time
Conduction plays a larger role than convection