The fin tapers from a thickness of 5 mm to a thickness of 2

Question

Consider a tapered fin of length 5 cm dissipating heat to an ambient at 30 °C. The heat transfer coefficient on the surface and the tip is 100 W/m² °C. The fin tapers from a thickness of 5 mm to a thickness of 2 mm at the tip. The thermal conductivity of the material of the fin is 100 W/m °C. The width of the fin is constant along the length and equal to 2 mm. Determine the heat dissipation from the fin for a base temperature of 100 °C. Use

(a) two linear elements and

(b) one quadratic element. Also, calculate the fin efficiency.