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A 6 0 0 mm long pump shaft of stainless steel ( k = 2 0 W / mK ) is 3 0 mm in

A 600 mm long pump shaft of stainless steel (k =20 W/mK) is 30 mm in
diameter. The heat transfer coefficient for the outside surface of the shaft to
the cooling air at 30\deg C is 30 W/m2K. Calculate:
A At what distance the bearing must be placed so that the maximum temperature at the bearing is not greater than 80\deg C?
B If the shaft is hollow with di =20 mm, what will be the temperature at
the bearing location determined above? The shaft is not cooled from the
inner surface.

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