A 0.2-cm-thick, 10-cm-high, and 15-cm-long circuit board houses electronic components on one side that dissipate a total of 15 W of heat uniformly. The board is impregnated with conducting metal fillings and has an effective thermal conductivity of 12 W/m·K. All the heat generated in the components is conducted across the circuit board and is dissipated from the back side of the board to a medium at 37°C, with a heat transfer coefficient of 45 W/m2·K. (a) Determine the surface temperatures on the two sides of the circuit board. (b) Now a 0.1-cm-thick, 10-cm-high, and 15-cm-long aluminum plate (k = 237 W/m·K) with 20 0.2-cm-thick, 2-cm-long, and 15-cm-wide aluminum fins of rectangular profile are attached to the back side of the circuit board with a 0.03-cm-thick epoxy adhesive (k = 1.8 W/m·K). Determine the new temperatures on the two sides of the circuit board.
A 0.2-cm-thick, 10-cm-high, and 15-cm-long circuit
board houses electronic components on one side that dissipate
a total of 15 W of heat uniformly. The board is impregnated
with conducting metal fillings and has an effective
thermal conductivity of 12 W/m·K. All the heat generated
in the components is conducted across the circuit board and
is dissipated from the back side of the board to a medium
at 37°C, with a heat transfer coefficient of 45 W/m2·K.
(a) Determine the surface temperatures on the two sides
of the circuit board. (b) Now a 0.1-cm-thick, 10-cm-high,
and 15-cm-long aluminum plate (k = 237 W/m·K) with 20
0.2-cm-thick, 2-cm-long, and 15-cm-wide aluminum fins
of rectangular profile are attached to the back side of the
circuit board with a 0.03-cm-thick epoxy adhesive (k =
1.8 W/m·K). Determine the new temperatures on the two
sides of the circuit board.
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