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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 Ti. The convection coefficient between the wire and the air is α.

Problem Type:
A plane-parallel problem of nonlinear heat transfer.

Geometry:

Given:
d = 0.015625 in;
Ti = 37.77C, T0 = 148.88C;
C = 380.16 J/kgK, ρ = 8966.04 kg/m3;
α = 11.37 W/Km2.

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

See the THeat2.pbm problem in the Examples folder.