THeat2: Temperature response of a suddenly cooled wire

Determine the temperature response of a copper wire of diameter d, originally at temperature T₀, when suddenly immersed in air at temperature T_i. The convection coefficient between the wire and the air is α.

Problem Type:

A plane-parallel problem of heat transfer.

Geometry:

Copper wire heat transfer model

Given:

d = 0.015625 in;
T_i = 37.77°C, T₀ = 148.88°C;
C = 380.16 J/kg·K, ρ = 8966.04 kg/m³;
α = 11.37 W/K·m².

Problem:

Determine the temperature in the wire.

Solution:

The final time of 180 s is sufficient for the theoretical response comparison. A time step of 4.5 s is used.

Comparison of Results

	Temperature, °C
Time	QuickField	ANSYS	Reference
45 s	91.37	91.38	89.6
117 s	54.46	54.47	53.33
180 s	43.79	43.79	43.17

Reference

Kreif F., "Principles of Heat Transfer", International Textbook Co., Scranton, Pennsylvania, 2nd Printing, 1959, Page 120, Example 4-1.

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