Temperature distribution in uniform cross-section fin - Heat Transfer

Q. A fin of uniform cross-section A and perimeter P has a base temperature T_s and it is exposed to fluid having temperature T_∞ How is the temperature distribution in the fin given?

Where,
m = √(hP/kA)
h = convective heat transfer coefficient
k = thermal conductivity of fin
T = Temperature of the fin at the distance x from the base of fine
and the constants C₁ and C₂ depend on the boundary conditions
- Published on 12 Aug 15

a. T – T_∞ = C₁e^mx – C₂e^{– mx}

b. T – T_∞ = C₁e^mx + C₂e^{– mx}

c. T + T_∞ = C₁e^mx – C₂e^{– mx}

d. T + T_∞ = C₁e^mx + C₂e^{– mx}

ANSWER: T – T_∞ = C₁e^mx + C₂e^{– mx}

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Temperature distribution in uniform cross-section fin - Heat Transfer

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