A 15-cm 20-cm printed circuit board whose components
are not allowed to come into direct contact with air for
reliability reasons is to be cooled by passing cool air through a
20-cm-long channel of rectangular cross section 0.2 cm 14
cm drilled into the board. The heat generated by the electronic
components is conducted across the thin layer of the board to
the channel, where it is removed by air that enters the channel
at 15°C. The heat flux at the top surface of the channel can be
considered to be uniform, and heat transfer through other surfaces
is negligible. If the velocity of the air at the inlet of the
channel is not to exceed 4 m/s and the surface temperature of
the channel is to remain under 50°C, determine the maximum
total power of the electronic components that can safely be
mounted on this circuit board.