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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/mK, and they are exposed to an ambient air condition of 25 C and the convection heat transfer coefficient is 250 W/m^2 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.

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/mK, and they are exposed to an ambient air condition of 25 C and the convection heat transfer coefficient is 250 W/m^2 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.