39. Assignment 4 solutions

39.1. Q1 - Q3

• From Sample mid-term questions I do problems A.4, B.4, C.1

39.1.1. Answers

• A4 solution: A4

• B4 solution: B4

• C1 solution: C1

39.2. Q4

For the following set of layers:

Fig. 39.1 Two grey layers over a black surface

1. Write down a system of three equations in three unknowns for the equilibrium case where the fluxes at each level are in balance.

2. Write a python function that returns the three layer temperatures \(T_g,\ T_1,\ T_2\) given \(\epsilon_1\), \(\epsilon_2\) and \(I_0\). Hand in notebook that uses that function to solve for \(\epsilon_1=0.8\), \(\epsilon_2 = 0.4\) and \(I_0 = 240\ W\,m^{-2}\)

3. Possible helpful numpy.linalg.solve video from Kindson the Genius

39.2.1. Answer

• Q4 solution: Assignment 4 two layer solution