Q: The device shown in the figure below is used to estimate the thermal conductivity of a new bio material by measuring the steady-state heat-transfer rate
For the present set of measurements, the thickness of the bio material surrounding the heating rod is 0.3 cm, the power load is 15 W, the measured surface temperature of the rod is T0= 70°C, and the temperature of the surrounding air remains constant at 20°C. The convective heat-transfer coefficient of the air film surrounding the bio material is 80 W/m2· K.
a. What are the appropriate boundary conditions for heat transfer analysis through the bio material?
b. What is the thermal conductivity of the bio material, km?
c. Plot the temperature profile T(r) from r = Roto r = Rm.
insulated ends air bulk film air :T=T 15 W heating rod (3.0 cm diameter, 6 cm length) biomaterial layer : (0.3 cm thickness) r= Rm T =Ts r = R. T =T. r = 0
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