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SS-V: 3010 Insulated Wall
Test No. VT02 Find temperatures at firebrick and insulating brick surfaces in an insulated wall.

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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: 3010 Insulated Wall

Test No. VT02 Find temperatures at firebrick and insulating brick surfaces in an insulated wall.

Definition

A wall consists of two layers: a 9 inch firebrick layer and a 5 inch insulating brick layer. The temperature at firebrick surface is 3000 F and the temperature at the insulating brick surface is 80 F.

The material properties are:

Properties: Value
Firebrick Thermal Conductivity: 0.8 BTU/(hr-ft-F)
Firebrick Convection Coefficient: 12 BTU/(hr-ft²-F)
Insulating Brick Thermal Conductivity: 0.1 BTU/(hr-ft-F)
Insulating Brick Convection Coefficient: 2 BTU/(hr-ft²-F)

Results

The wall is simulated by two solid blocks: 9 x 24 x 24 inch (firebrick), and 5 x 24 x 24 inch (insulating brick) (Figure 1). Thermal resistance in contact between the blocks is neglected. Side surfaces of the blocks are insulated to allow heat transfer only in the direction perpendicular to the wall.

Figure 1. Boundary conditions

Figure 2. Temperature distribution


	Reference*	SimSolid	% Difference
Temp at Firebrick [deg-F]	2957.0	2957.0	0.00%
Temp at Insulating Brick [deg-F]	336.0	336.6	0.18%
Heat Flux Through Wall [BTU/9hr*ft²)	513.0	513.2	0.04%

*Reference solution is a 1D model.

¹ Kreith, F. Principles of Heat Transfer. 2nd ed. P.A.: International Textbook Co., 1959, pg. 32