Analysis Characteristics
- Steady-state
- Three Dimensional Heat Transfer
- Joule Heating
Reference
Rohsenow,W.M.,Choi,H.Y., “Heat, Mass, Momentum Transfer”, Prentice-Hall, Inc., New Jersey, 1961, p. 106
Problem Description
This model is Example 6.5 in the reference. The objective is to determine the centerline temperature of a bare steel wire carrying a current and exposed to ambient air. The wire has a resistance of 0.0001 Ohms-mm.
Geometry and Boundary Conditions
The radius of the wire is 0.375 inches, and the length is 1 inch.
A current of 250 (1000/4) Amps is applied to one end. A reference voltage of 0 volts was applied to the opposite end. A film coefficient of 5.0 Btu/hr-ft2-R and an ambient temperature of 70 F is applied to the outside edge of the wire.
Results
The temperatures along the centerline and the outside surface and the heat transferred to the wire are compared with known values.
| Benchmark | 2013: Build 20120131 | % Error | 2014: Build 20130102 | % Error | |
| Tsurface (F) | 418 | 418.408 | 0.041 | 418.386 | 0.092 |
| Tcenterline (F) | 420 | 420.515 | 0.113 | 420.499 | 0.119 |
| Q (Btu/hr-in) | 28.46 | 28.49 | 0.122 | 28.46 | 0.117 |
