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Consider design B of 3.151. Over time, dust can collect in
Chapter , Problem 3.152(choose chapter or problem)
Consider design B of Problem 3.151. Over time, dust can collect in the fine grooves that separate the fins. Consider the buildup of a dust layer of thickness \(L_{d}\), as shown in the sketch. Calculate and plot the total heat rate for design B for dust layers in the range \(0 \leq L_{d} \leq 5 \mathrm{~mm}\). The thermal conductivity of the dust can be taken as \(k_{d}=0.032 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}\). Include the effects of convection from the fin tip.
Questions & Answers
QUESTION:
Consider design B of Problem 3.151. Over time, dust can collect in the fine grooves that separate the fins. Consider the buildup of a dust layer of thickness \(L_{d}\), as shown in the sketch. Calculate and plot the total heat rate for design B for dust layers in the range \(0 \leq L_{d} \leq 5 \mathrm{~mm}\). The thermal conductivity of the dust can be taken as \(k_{d}=0.032 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}\). Include the effects of convection from the fin tip.
ANSWER:Step 1 of 3
Given data:
The differential element equation as,
\(y_2^2 = 2x\)
\({y_2} = \sqrt {2x}\)
The differential element equation as,
\({y_1} = x\)
Consider the diagram shown below.