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5 2018 12 08!06 16 16 PM

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EX.

A piece of aluminum weighing 6 kg and initially at a temperature of


300◦C is suddenly immersed in a fluid at 20◦C. The convection heat-
transfer coefficient is 58W/m2 . ◦C. Taking the aluminum as a sphere
having the same weight as that given, estimate the time required to cool
the aluminum to 90◦C, using the lumped-capacity method of analysis.

EX.2

A 4 cm diameter copper sphere is initially at a uniform temperature of


220◦C. It is suddenly exposed to a convection environment at 30 ◦C with
h=20 W/m2 ・ ◦C. Calculate the time necessary for the center of the
sphere to reach a temperature of 80◦C.
EX.3

In a production facility, large brass plates of 4 cm thickness that are


initially at a uniform temperature of 20°C are heated by passing them
through an oven that is maintained at 500°C. The plates remain in the
oven for a period of 7 min. Taking the combined convection and radiation
heat transfer coefficient to be h = 120 W/m2 · °C, determine the surface
temperature of the plates when they come out of the oven.
EX.4
CLASS WORK
Buildings of various constructions exhibit different responses to thermal
changes in climate conditions. Consider a 10-cm-thick wall of normal
weight structural concrete(c=0.9 kJ/kg .◦C) suddenly exposed to a “blue
norther” at−10◦Cwith a convection coefficient of 65 W/m2 . ◦C. The wall
is initially at 15◦C. Estimate the time required for the wall temperature to
drop to 5◦C. State the assumptions.
EX.5

A very thick plate of stainless steel (18% Cr, 8% Ni) at a uniform


temperature of 300◦C has its surface temperature suddenly lowered to
100◦C. Calculate the time required for the temperature at a depth of 3 cm
to attain a value of 200◦C.

SOLUTION:

H.W
An aluminum bar has a diameter of 11 cm and is initially uniform in
temperature at 300◦C. If it is suddenly exposed to a convection
environment at 50◦C with h=1200 W/m2 .◦C, how long does it take the
center temperature to cool to 80 ◦C? Also calculate the heat loss per unit
length.

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