In the exercises below, you will simulate heat transfer along a cm long frying pan handle for a frying pan that is heated on a stove for 10 minutes.
Exercise 1: Mathematical Derivation
Derive an equation for the temperature of slice number at the end of a one-dimensional rod, . Your derivation, and the resulting equation, will be very similar to the derivation and result for the other slices of the rod (for ). The only difference is that there is no heat flow in/out of the right side of this slice.
Exercise 2: x
and t
Write lines of code to generate two one-dimensional arrays: one for the discrete values of position, , and one for the discrete values of time, .
Exercise 3: Material Properties
You will simulate the handle of a frying pan, using handles made of (1) stainless steel and (2) Bakelite. Look up the relevant material properties for both stainless steel and Bakelite. What are the numerical values for each of these properties for each material?