Description
A large plate of thickness 62.8 cm is initially at a temperature of 50ºC. Suddenly, both of its faces are raised to and held at 550ºC. Determine:
- The temperature at a plane 15.7 cm from the left surface, 5 sec after the sudden change in surface temperature.
- Instantaneous heat flux at the left surface at the end of 5 seconds.
File Name
Browse to drive
letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS
version\samples\Simulation
Examples\Verification\Thermal_7.SLDPRT and open the
file.
Study Type
Transient thermal analysis.
Shell Parameters
Shell thickness = 1 cm - Thin formulation.
Meshing Parameters
Use a Global Size of 1.0 cm.
Material properties
Density = 23.2 Kg/m3, Thermal conductivity = 46.4 W/(m.K), Specific heat = 1000 J/(Kg.K).
Modeling Hints
Since the other dimensions of the plate are infinitely large, conduction occurs through the plate thickness, i.e., along the x axis. For the transient study properties, the total solution time is set to 5 sec and the time increment is set to 0.05 sec.
Results
| |
Theory |
SOLIDWORKS Simulation |
| Temperature at
x = 15.7 cm, ºC |
183.9 |
183.4 |
| Heat flux,
W/m2
(a)
|
130880 |
131426 |
(a) To get the Heat flux value, create a Resultant Heat Flux plot, and probe the left edge.
Reference
Gupta, C. P., and Prakash, R., "Engineering Heat Transfer," Nem Chand and Bros., India, 1979, pp. 155-157.