5-42 A plane wall with surface temperature of 350°C is attached with straight rectangular fins (k 235 W/m K). The fins are exposed to an ambient air condition of 25°C, and the convection heat transfer coefficient is 154 W/m2-K. Each fin has a length of 50 mm, a base 5 mm thick, and a width of 100 mm. 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 the analytical solution. FIGURE P5-42 Air, 25°C h= 154 W/m2K T,-350°C =5 mm k= 235 W/m K w= 100 mm L=50 mm

Question
5-42 A plane wall with surface temperature of 350°C is attached with straight rectangular fins (k 235 W/m K). The fins are exposed to an ambient air condition of 25°C, and the convection heat transfer
coefficient is 154 W/m2-K. Each fin has a length of 50 mm, a base 5 mm thick, and a width of 100 mm. 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 the analytical solution.
FIGURE P5-42
Air, 25°C
h= 154 W/m2K
T,-350°C
=5 mm
k= 235 W/m K
w= 100 mm
L=50 mm

Image Transcription

5-42 A plane wall with surface temperature of 350°C is attached with straight rectangular fins (k 235 W/m K). The fins are exposed to an ambient air condition of 25°C, and the convection heat transfer coefficient is 154 W/m2-K. Each fin has a length of 50 mm, a base 5 mm thick, and a width of 100 mm. 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 the analytical solution. FIGURE P5-42 Air, 25°C h= 154 W/m2K T,-350°C =5 mm k= 235 W/m K w= 100 mm L=50 mm

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