Mathematical Equation for my experimental data?

[Coolguynice]

Homework Statement

Okay so we're testing the effects different types and number of layers can have the heat released through conduction. in our results we found that the heat released was reduced by 50% for 2 layers compared to 1 layer and that the heat released was reduced to 34% for 3 layers as compared to 2 layer. How would you turn this into a mathematical model that can be used to predict future result? if it helps the graph shows a clear exponential trend.

Homework Equations

q=(ka(t2-t1))/d
so for example using felt for 1 layer we had 250.95j, for 2 layers we had 125.39 and for 3 layers 83.64 (in terms of heat released through conduction)

The Attempt at a Solution

im not exactly sure what to do but one idea i had was to derive the equation of each insulator from a program using the exponential form and roll with that but i would still like to know if there is a better or more correct method that i could help to explain in my assignment.
Any help would be greatly appreciated[/B]

 

[gneill]

Hi Coolguynice, Welcome to Physics Forums.

If you're looking to create a mathematical model then you'll need to be clear on the system being modeled.

Usually heat transfer depends upon the geometry of the setup, surface areas between regions of different material, and so forth. Can you describe the setup in more detail? How was the "heat released" determined?

 

[CWatters]

Presumably "d" in you equation is the thickness of the insulation. Looks like you already have a mathematical model.