In a 1-dimensional heat transfer problem where conduction, convection and radiation effects take place, heat flow (Q) can be formulated as;
Q=-kA (Tₛ-Tᵢ)/∆L+hA(Tₛ-T[infinity]) + eσA(Tₛ - T[infinity])⁴
a) We want to find the surface temperature (T.) of the system such that the total heat flow (Q) is equal to 11000 (Q-11000). Find the surface temperature (Ts) that satisfies the above equation with a temperature tolerance of 1x102 (ε=0.01) using Method of False Position (Regula-Falsi). It is known that T-300 and T-600. Show all your calculations at each iterations and use adequate decimal places for this problem. For this part of the problem, parameters of the system (without units) are:
A-20
k=60
∆L-100
h=2.5
σ=2.6697 x 10⁻⁸
e= 2.057
Tᵢ=550
T[infinity]=298