h 10 W/m2. C Temperature T.o Convection Insulated surface Conduction Temperature To k 200 W/m C dx L

h 10 W/m2. C Temperature T.o Convection Insulated surface Conduction Temperature To k 200 W/m C dx L Temperature To Insulated surface Temperature T Base PROJECT #2 (2.5 Marks): Use the electrical analogy for the heat transfer problem of the fin schematically presented in Fig. 1, a) and find the equivalent resistances in your electrical analogy. b) Assume that the fin is also exposed to a space such that the radiation loss is given by grad = A' a (T4 -To4) where is a surface emissivity constant, a is the Stefan-Boltzmann constant, and the temperatures are expressed in degrees Kelvin. Derive a differential equation for the temperature in the pin fin as a function of x, the distance from the base. Let To be the base temperature, and write the appropriate boundary conditions for the differential equation. c) Repeat the calculations for the three cases (Part b in Project #1) by using the following parameters: o 5.670374419 x 10-8 W.m-2. K-4 E 0.5 What mechanism of heat transfer is more efficient in this temperature range? What's about the case when the temperature at the base of the fin is To 1000 °C.

 

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