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Transient Thermal Analysis Problems
This chapter contains transient thermal analysis problems and Thermal's results. In a transient thermal analysis, Thermal calculates the thermal response of your model to heat loads that change with time and that are subject to specified constraints. Thermal also automatically calculates all predefined measures that apply to a model.
This section contains the following models:
mvtt001: 3D Solid Transient Heat Flow
Analysis Type:
Transient Thermal
Model Type:
3D
Comparison:
Theory
Reference:
Holman, J.P. Heat Transfer. 5th ed. McGraw-Hill 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.
Specifications
Element Type:
tet (362)
Units:
s m W C
Dimensions:
radius 0.25
length 6.5
Properties:
Mass Density
8000 kg/m3
Thermal Expansion
1.4e-5 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
Comparison of Results Data
Theory
Thermal
% Difference
Point E (m=temp_2_5)
79.3
79.25
0.06%
Single-Pass Adaptive Convergence
Max P: 6
No. Equations: 3909
mvtt002: 3D Solid Plate with Convection
Analysis Type:
Transient Thermal
Model Type:
3D
Comparison:
Theory
Reference:
Holman, J.P. Heat Transfer. 5th ed. McGraw-Hill 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.
Specifications
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
Comparison of Results Data
Theory
Thermal
% Difference
Point A (m=pnt_1_25cm)
147.7
145.2
1.7 %
Single-Pass Adaptive Convergence
Max P: 4
No. Equations: 898