Consider a band-saw blade being used to cut steel bar stock. The blade thickness is 2 mm, its height is 20 mm, and it has penetrated the steel workpiece to a depth of 5 mm (see the accompanying sketch). Exposed surfaces of the blade are cooled by an ambient temperature of 20°C through a convection coefficient of 40 W/(m2K). Thermal conductivity of the blade steel is 30 W/(mK). Energy dissipated by the cutting process supplies a heat flux of 104 W/m2 to the surfaces of the blade that are in contact with the workpiece. Assuming two-dimensional, steady conduction, determine the maximum and minimum temperature in the blade cross section. Use a node spacing of 0.5 mm horizontally and 2 mm vertically.

GIVEN

Band saw blade cutting steel barstock

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2 mm 11. 10 T.- 20°C h- 40 WI(m?K) Control Volume Une of Symmetry- Blade Workplece Surface Steel Workplece Surface J-1 1=1 2 3 Note: Hortzontal Scale Is Expanded by a Factor of 2 Relative to the Left side of the Agure