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please respond to theta(x) = C1e-mx + C2e+mx (infinitely long fins) or equivalen

ID: 1860902 • Letter: P

Question

please respond to

theta(x) = C1e-mx + C2e+mx (infinitely long fins) or equivalently where m = (hP0)/(kA0). Here, h and k are the heat transfer coefficient and thermal conductivity of the fin, respectively, and P0 and A0are the perimeter and cross sectional area of the uniform fin, respectively. Taking the temperature at the base of the fin as theta(x = 0)=Tb-T infinity theta b determine the constants C1 and C2 (or and as appropriate) for each of the following conditions at the fin tip, i.e. at x = L: Convective tip. Insulated tip. Prescribed temperature tip. Infinitely long tip.

Explanation / Answer

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