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.
Definition
Heat is uniformly generated in the plate volume.
The fluid temperature is 150 F.
The material properties are:
Properties
Value
Plate Thermal Conductivity
25 BTU/(hr-ft-F)
Surface Convection Coefficient
13.969738 BTU/(hr-ft2-F)
Volume Heat Generation Rate
1.e+5 BTU/(hr-ft3)
Results
A piece of plate is simulated by a 1
x 1 x 0.5 inch solid. Side surfaces of the solid are insulated in order to allow heat
transfer only in the direction perpendicular to the plate surface.
The following table
shows the temperature at the mid-plane and the flow rate to the fluid.
Reference
SimSolid
% Difference
Temperature at Mid-plane [deg-F]
299.1
300.0
0.30%
Heat Flow Rate to Fluid [BTU/(hr*ft2)]
2083.3
2084
0.03%
Figure 1. Temperature distribution in the plate
1 Kreith, F. Principles
of Heat Transfer. 2nd ed. P.A.: International Textbook Co., 1959, pg. 42, ex.
2-9
