2. When only convection is included in the analyisis, the steady-state temperature distribution T(x), along a pin fin as
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2. When only convection is included in the analyisis, the steady-state temperature distribution T(x), along a pin fin as
2. When only convection is included in the analyisis, the steady-state temperature distribution T(x), along a pin fin as in Figure 1 can be calculated from the solution of the equation &T hP -(T-T₂)=0, 0≤ ≤L dr² kAc with boundary conditions, T(0) = T₁ and T(L) = TB. In the above equation, suppose he: the convective heat trasfer coefficient, • P: the perimeter bounding the cross section of the fin material. • A: the cross-sectional area of the fin, • T.: the temperature of the surrounding air. L Figure 1: (a) (20 points) If given L= 0.1m, T(0)=473 K. T(0.1) = 293 K. he <-40 and W P = 0.0016 m², k = 240- A 1.6 x 10-5 m². m/K Determine the temperature distribution. T(r) using Finite Difference method by dividing the interval into four equally spaced subintervals. Ө W m²/K
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