Circular fins of uniform cross section, with diameter of 10 mm and length of 50 mm, are attached to a wall with surface temperature of 350°C. The fins are made of material with thermal conductivity of 240 W/m·K, and they are exposed to an ambient air condition of 25°C and the convection heat transfer coefficient is 250 W/m²·K. Determine the heat transfer rate and plot the temperature variation of a single fin for the following boundary conditions:

(a) Infinitely long fin

(b) Adiabatic fin tip

(c) Fin with tip temperature of 250°C

(d) Convection from the fin tip

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h, T. D. A, = A.