Determine the temperature response of a copper wire of diameter d, originally at temperature T_{0}, 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 nonlinear heat transfer.
Geometry:
Given:
d = 0.015625 in;
T_{i} = 37.77°C, T_{0} = 148.88°C;
C = 380.16 J/kg·K, ρ = 8966.04 kg/m^{3};
α = 11.37 W/K·m^{2}.
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.