Verification Cases for Thermal Analyses
Heat Transfer in a Composite Wall
Problem Statement: A furnace wall consists of two layers: fire brick and insulating brick. The temperature inside the furnace is 3000 F (Tf) and the inner surface convection coefficient is 3.333 x 10-3 BTU/s ft2 F (hf).
The ambient temperature is 80 F (Ta) and the outer surface convection coefficient is 5.556 x 10-4 BTU/s ft2 F (ha). Find the temperature distribution in the composite wall.
1. Inner Layer:
Film coefficient: 3.333 x 10-3 BTU/s (ft2)(F)
Ambient temperature (temperature inside the furnace): 3000 F
2. Outer Layer:
Film coefficient: 5.556 x 10-4 BTU/s ft2 (F).
Ambient temperature: 80 F
Material Properties
Geometric Properties
Fire brick: k = 2.222 x 10-4 BTU/s ft F
Insulation: k = 2.778 x 10-5BTU/s ft F
Cross-section = 1 in x 1 in
Fire brick thickness = 9 in
Insulating wall thickness = 5 in
Result Comparison—Simulation quality slider at default position
Results
Target
Creo Simulate
Ansys Discovery Explore
Creo Simulation Live
Percent Error
Minimum Temperature (F)
336
336.64
325.70
324.23
3.50
Maximum Temperature (F)
2957
2597.17
2959.10
2959.30
0.08
Results Comparison for Creo Ansys Simulation (Default mesh)
Results
Target
Ansys Discovery Refine
Creo Ansys Simulation
Percent Error
Minimum Temperature (F)
336
336.67
336.64
0.19
Maximum Temperature (F)
2957
2957.20
2957.17
0.01
Conduction in a Composite Solid Block
Problem Statement: Consider heat conduction in a wall formed as a composite of two materials. Material 1 has a uniform heat generation source equal to 6000 Watts applied to the outer surface, while Material 2 has an outer surface exposed to convective cooling. Compute the temperature of the adiabatic surface on the left-hand side of the domain.
References: F.P. Incropera, D.P. Dewitt. Fundamentals of Heat and Mass Transfer. 5th Edition, pg.117, 2006.
Material Properties
Geometric Properties
Loading
Material 1: Conductivity = 75 W/m-K
Material 2: Conductivity = 150 W/m-K
Dimensions of the block:
70 mm X 80 mm
Material 1= 50 mm
Material 2 = 20 mm
Thickness = 1000 mm
Left surface: Heat flow = 6000 W
Right surface: HTC = 1000 W/m2 K and fluid bulk temperature = 30 C
All other surfaces are adiabatic.
Result Comparison—Simulation quality slider at default position
Results
Target
Creo Simulate
Ansys Discovery Explore
Creo Simulation Live
Percent Error
Temperature of the adiabatic surface on extreme left side, in degree C
165
165
161.33
161.062
2.39
Results Comparison for Creo Ansys Simulation (Default mesh)
Results
Target
Ansys Discovery Refine
Creo Ansys Simulation
Percent Error
Temperature of the adiabatic surface on extreme left side, in degree C
165
165.07
165.068
0.04
Heat Transfer from a Cooling Spine
Problem Statement: A steel cooling spine of cross-sectional area A and length L extend from a wall that is maintained at temperature T w . The surface convection coefficient between the spine and the surrounding air is h, the air temperature is T a , and the tip of the spine is insulated. Find the heat conducted by the spine and the temperature of the tip.
Convection conditions are applied to all 4 longitudinal surfaces.
References: F. Kreith, "Principles of Heat Transfer", 2nd Printing, International Textbook Co.,Scranton, PA, 1959, pg. 143, ex. 4-5
Material Properties
Geometric Properties
Loading
K = 9.71x10-3 BTU/s-ft-F
Cross section = 1.2 in x 1.2 in
L = 8 in
T w = 100 F
T a = 0 F
H = 2.778x10-4 BTU/s-ft2-F
Result Comparison—Simulation quality slider at default position
Results
Target
Creo Simulate
Ansys Discovery Explore
Creo Simulation Live
Percent Error
Temperature of Tip, in degree F
79.0344
78.96
78.901
78.904
0.16
Results Comparison for Creo Ansys Simulation (Default mesh)
Results
Target
Ansys Discovery Refine
Creo Ansys Simulation
Percent Error
Temperature of Tip, in degree F
79.0344
79.035
79.0343
0.00
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