2. When only convection is included in the analyisis, the steady-state temperature distribution T(r), along a pin fin as

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2 When Only Convection Is Included In The Analyisis The Steady State Temperature Distribution T R Along A Pin Fin As 1 (56.47 KiB) Viewed 495 times

2. When only convection is included in the analyisis, the steady-state temperature distribution T(r), along a pin fin as in Figure 1 can be calculated from the solution of the equation d²T heP - -(T-Ts) = 0, 0≤x≤ L dx² 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, • Ae: the cross-sectional area of the fin, • T: the temperature of the surrounding air. L O T₁ T₂ Figure 1: (a) (20 points) If given W L = 0.1m, T(0) = 473 K, T(0.1) = 293 K, h = 40. m²/K' and P = 0.0016 m², k = 240 W m/K' Ac 1.6 x 105 m². = Determine the temperature distribution, T(x;) using Finite Difference method by dividing the interval z into four equally spaced subintervals.