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SS-V: 3040 Heat Generating Wire
Test No. VT05 Find the temperature at the centerline and surface of a heat generating wire.

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  - SS-V: 3000 Cooling fin
    Test No. VT01 Find the temperature of the insulated end of a cooling fin surrounded by fluid with the other end maintained at constant temperature.
  - SS-V: 3010 Insulated Wall
    Test No. VT02 Find temperatures at firebrick and insulating brick surfaces in an insulated wall.
  - SS-V: 3020 Cylinder with Prescribed Heat Flux
    Test No. VT03 For a cylinder loaded with a prescribed heat flux, find the temperature at the boundary between where flux is applied and the rest of the side surface.
  - SS-V: 3030 Heat Generating Plate
    Test No. VT04 Find temperature at the mid-plane of a heat generating steel plate and the heat flow rate to the fluid the plate is heating.
  - SS-V: 3040 Heat Generating Wire
    Test No. VT05 Find the temperature at the centerline and surface of a heat generating wire.
  - SS-V: 3050 Table Frame
    Test No. VT06 Find temperature at points A, B, C, and D of an eight tube assembly.
  - SS-V: 3060 Thermal
    Test No. VT07 Find the temperature on a plate with prescribed temperature and convection loads.
  - SS-V: 3070 Transient Thermal
    Test No. VT08 Find the temperature distribution on a beam subjected to transient thermal load.
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SS-V: 3040 Heat Generating Wire

Test No. VT05 Find the temperature at the centerline and surface of a heat generating wire.

Definition

Figure 1. Temperature distribution in the wire

The bare steel wire is generating uniform heat. It is surrounded by an air temperature of 70 F.

The wire diameter is 0.75 inches.

The material properties are:

Properties: Value
Thermal Conductivity: 13 BTU/(hr-ft-F)
Surface Convection Coefficient: 5 BTU/(hr-ft²-F)
Uniform Heat Generation Rate: 111311.7 BTU/(hr-ft³)

Results

The wire is simulated by a 5 inch long cylinder. End surfaces of the cylinder are insulated to allow heat transfer only in the direction perpendicular to the cylinder centerline. Heat dissipation rate was calculated through heat flow rate per wire 1 ft length.

The following table shows the temperature at the centerline and surface of the wire, and the heat dissipation rate.


	Reference	SimSolid	% Difference
Temperature at Centerline [deg-F]	419.9	418.6	-0.31%
Temperature at Surface [deg-F]	417.9	416.5	-0.34%

¹ W.M.Rohsenow, H.Y.Choi, Heat, Mass and Momentum Transfer, 2nd ed. Prentice-Hall, Inc.,Englewood Cliffs, NJ, 1963, pg. 106, ex. 6.5.