Analysis Type:

Transient Thermal

Model Type:

3D

Comparison:

Theory

Reference:

Holman, J.P. Heat Transfer. 5th ed. McGrawHill Book Co., Inc., 1981. Example 4.2.

Description:

A large solid cylinder of steel is at an initial uniform temperature of 35C. One end is then exposed to a constant surface heat flux of 3.2e5 W/m2. Find the temperature after 30 s at a depth of 2.5 cm from the heated end. 
Element Type:  tet (362)  Units:  s m W C 
Dimensions:  radius 0.25  length 6.5  
Properties:  
Mass Density  8000 kg/m3  
Thermal Expansion  1.4e5 m2/s  
Conductivity  45 W/mC  
Specific Heat  401.79 J/kgC 
Prescribed Temps:  Location/Magnitude: 
therm_constr1  everywhere: 35C 
therm_load1  placed on surface ABDC: 320000 W/m2 
Theory  Thermal  % Difference  
Point E (m=temp_2_5)  79.3  79.25  0.06% 
SinglePass Adaptive Convergence  Max P: 6  No. Equations: 3909 
Analysis Type:  Transient Thermal 
Model Type:  3D 
Comparison:  Theory 
Reference:  Holman, J.P. Heat Transfer. 5th ed. McGrawHill Book Co., Inc., 1981. Example 4.5. 
Description:  A plate of steel is at an initial uniform temperature of 200C. All exposed surfaces of the plate are then suddenly subjected to a convection condition of 70C with a heat transfer coefficient of 525 W/m2C. Find the temperature after 60 s at a depth of 1.25 cm from one of the exposed faces. 
Element Type:  bricks (48)  Units:  s m W C 
Dimensions:  width: 0.3 height: 0.3 thickness: 0.05  
Properties:  
Mass Density  2700 kg/m3  
Specific Heat  900 J/kgC  
Conductivity  215 W/mC 
Prescribed Temps:  Location/Magnitude: 
therm_constr1  placed on all exposed surfaces • thermal transfer coefficient: 525 W/m2C • bulk temperature: 70C 
Initial temperature  entire body at 200C 
Theory  Thermal  % Difference  
Point A (m=pnt_1_25cm)  147.7  145.2  1.7 % 
SinglePass Adaptive Convergence  Max P: 4  No. Equations: 898 