DSVM5

DSVM5

Heat Transfer in a Composite Wall

Overview

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Reference:	Kreith, Principles of Heat Transfer, Third Edition, Figure 2-5, pg. 37
Analysis Type(s):	Linear Static Thermal Analysis
Element Type(s):	Solid

Test Case

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A furnace wall consists of two layers: fire brick and insulating brick. The temperature inside the furnace is 3000°F (T_f) and the inner surface convection coefficient is 3.333e-3 BTU/s ft²°F (h_f). The ambient temperature is 80°F (T_a) and the outer surface convection coefficient is 5.556e-4 BTU/s ft²°F (h_a).

Find the Temperature Distribution.

Figure 5.1 Schematic

Material Properties

Fire brick wall: k = 2.222e-4 BTU/s ft °F

Insulating wall: k = 2.778e-5 BTU/s ft °F

Geometric Properties

Cross-section = 1" x 1"

Fire brick wall thickness = 9"

Insulating wall thickness = 5"

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Results Comparison

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Results	Target	DS	Error (%)
Minimum Temperature (°F)	336	336.69	0.205
Maximum Temperature (°F)	2957	2957.2	0.007