A plane wall with surface temperature 350C is attached with straight rectangular fins( k =235 W/m K). The fins are exposed to an ambient air condition of 25C and the convection heat transfer coefficient is 154 W/m2. Each fin has a length of 50mm, a base of 5 mm thick and a width of 100mm. For a Single fin, using a uniform nodal spacing of 10 mm, determine (a) the finite difference equations, (b) the nodal temperatures by solving the finite difference equations, and (c) the heat transfer rate and compare the result with analytical solution.

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A plane wall with surface temperature 350C is attached with straight rectangular fins( k =235 W/m K). The fins are exposed to an ambient air condition of 25C and the convection heat transfer coefficient is 154 W/m2. Each fin has a length of 50mm, a base of 5 mm thick and a width of 100mm. For a Single fin, using a uniform nodal spacing of 10 mm, determine (a) the finite difference equations, (b) the nodal temperatures by solving the finite difference equations, and (c) the heat transfer rate and compare the result with analytical solution.

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