Analysis Type:

SteadyState Thermal

Model Type:

3D

Comparison:

ANSYS No. 95

Reference:

Kreith, F. Principles of Heat Transfer. 2nd ed. PA: International Textbook Co., 1959.

Description:

A cooling fin of square crosssectional area is surrounded by fluid, with one end maintained at a certain temperature, and the other end insulated. Find the temperature at the insulated tip, B.

Element Type:  beam (1)  
Units:  Hr Ft Btu F  
Dimensions:  length: 0.6666  
Beam Properties:  Area: 0.00694 IYY: 0 Shear FY: 0 CY: 0  J: 0 IZZ: 0 Shear FZ: 0 CZ: 0 
Material Properties:  Mass Density: 1 Cost Per Unit Mass: 0 Young's Modulus: 0  Poisson's Ratio: 0 Thermal Expansion: 0 Conductivity: 25 
Prescribed Temperatures:  Location/Magnitude:  
therm_constr1  placed on point A: 100  
Convection Conditions:  Location/ Film Coefficient:  Bulk Temperature: 
therm_constr1  placed on curve AB: 0.333332  0 
Theory  ANSYS  Thermal  % Difference  
Temperature at Tip B (m=tip_temp)  68.594  68.618  68.582  0.0174% 
Convergence %: 0.0% on Local Temp and Energy Index  Max P: 5  No. Equations: 5 
Analysis Type:  SteadyState Thermal 
Model Type:  2D Plate 
Reference:  NAFEMS, FEBSTA, No. T4 
Description:  A plate with uniform thickness is insulated on one side and surrounded by fluid on two other sides. The fourth side is maintained at a certain temperature. Find the temperature at point E. 
Element Type:  2D plate (2)  
Units:  Hr M W C  
Dimensions:  length: 1.0 width: 0.6  
Material Properties:  Mass Density: 0.08 Cost Per Unit Mass: 0 Young's Modulus: 0  Poisson's Ratio: 0 Thermal Expansion: 0 Conductivity: 52 
Prescribed Temperatures:  Location/Magnitude:  
therm_constr1  placed on curve AB: 100  
Convection Conditions:  Location/ Film Coefficient:  Bulk Temperature: 
therm_constr1  placed on curves CD, BE, CE: 750  0 
Theory  Thermal  % Difference  
Temperature at Point E (m=pt_e_temp)  18.3  18.15  0.81% 
Convergence %: 2.0% on Local Temp and Energy Index  Max P: 9  No. Equations: 84 
Analysis Type:  SteadyState Thermal 
Model Type:  2D Axisymmetric 
Reference:  NAFEMS, BMTTA(S), No. 15(i) 
Description:  A cylinder has a prescribed heat flux around part of the boundary. The bottom side is maintained at a certain temperature and the top is insulated. Find the temperature at point E. 
Element Type:  2D solid (2)  
Units:  Hr M W C  
Dimensions:  inner radius: 0.0 outer radius: 0.1 height: 0.05  
Material Properties:  Mass Density: 7850 Cost Per Unit Mass: 0 Young's Modulus: 0  Poisson's Ratio: 0 Thermal Expansion: 0 Conductivity: 52 
Prescribed Temperatures:  Location/Magnitude:  
therm_constr1  placed on curve AB: 0 
Heat Loads  Location/Magnitude  Distribution  Spatial Variation 
therm_load1  placed on curve CE: 500000  heat/time per unit area  uniform 
Theory  Thermal  % Difference  
Temperature at Target Point E (m=target_pt_temp)  213.6  213.82  0.1% 
Convergence %: 0.0% on Local Temp and Energy Index  Max P: 9  No. Equations: 80 
Analysis Type:  SteadyState Thermal 
Model Type:  2D Axisymmetric 
Reference:  NAFEMS, BMTTA(S), No. 15 (iii) 
Description:  A hollow cylinder has a prescribed heat flux over the central part of the inner surface; the ends are insulated. The top, bottom, and outer surfaces are maintained at a uniform temperature. Find the temperature at point G. 
Element Type:  2D solid (2)  
Units:  Hr M W C  
Dimensions:  inner radius: 0.02 outer radius: 0.1 height: 0.14  
Material Properties:  Mass Density: 7850 Cost Per Unit Mass: 0 Young's Modulus: 0  Poisson's Ratio: 0 Thermal Expansion: 0 Conductivity: 52 
Prescribed Temperatures:  Location/Magnitude:  
Therm_constr1  placed on curves AB, BC, CD: 0 
Heat Loads  Location/Magnitude  Distribution  Spatial Variation 
Therm_load1  placed on curve EF: 500000  hear/time per unit area  uniform 
Theory  Thermal  % Difference  
Temperature at Target Point G (m=target_pt_temp)  59.82  59.84  0.03% 
Convergence %: 0.0% on Local Temp and Energy Index  Max P: 9  No. Equations: 133 
Analysis Type:  SteadyState Thermal 
Model Type:  2D Unit Depth 
Comparison:  ANSYS No. 92 
Reference:  Kreith, F. Principles of Heat Transfer. 2nd ed. PA: International Textbook Co., 1959. 
Description:  A twolayer wall is surrounded by heated fluid on both the inner and outer surfaces; the ends are insulated. Find the temperatures at the inner and outer surfaces. 
Element Type:  2D solid (2)  
Units:  Hr Ft Btu F  
Dimensions:  thickness of layer 1: 0.75 thickness of layer 2: 0.416666  
Material Properties:  Mass Density: 1 Cost Per Unit Mass: 0 Young's Modulus: 0  Poisson's Ratio: 0 Thermal Expansion: 0 Conductivity: • layer 1 (K1): 0.8 • layer 2 (K2): 0.1 
Convection Conditions:  Location/Film Coefficient:  Bulk Temperature: 
Therm_constr1  placed on curve AB: 12 placed on curve CD: 2  3000 80 
Theory  ANSYS  Thermal  % Difference  
Temperature at Inner Surface (m=inner_temp_1)  2957  2957.2  2957.2  0.006% 
Temperature at Outer Surface (m=outer_temp_1)  336  336.7  336.7  0.2% 
Convergence %: 0.0% on Local Temp and Energy Index  Max P: 2  No. Equations: 13 
Analysis Type:  SteadyState Thermal 
Model Type:  3D 
Comparison:  ANSYS No. 96 
Reference:  Kreith, F. Principles of Heat Transfer. 2nd ed. PA: International Textbook Co., 1959. 
Description:  A cooling fin of square crosssectional area is surrounded by fluid with one end maintained at a certain temperature, and the other end insulated. Find the temperature at the insulated tip (surface EFGH). 
Element Type:  solid (2)  
Units:  Hr Ft Btu F  
Dimensions:  length: 0.6666 width: 0.083333 height: 0.083333  
Material Properties:  Mass Density: 1 Cost Per Unit Mass: 0 Young's Modulus: 0  Poisson's Ratio: 0 Thermal Expansion: 0 Conductivity: 25 
Prescribed Temperatures:  Location/Magnitude:  
thermal_constr1  placed on surface ABCD: 100  
Convection Conditions:  Location/Magnitude:  Bulk Temperature: 
therm_constr1  placed on all outer surfaces except surfaces ABCD and EFGH: 1  0 
Theory  ANSYS  Thermal  % Difference  
Temperature at Tip (m=tip_temp_1)  68.592  68.618  68.533  0.09% 
Convergence %: 0.0% on Local Temp and Energy Index  Max P: 8  No. Equations: 998 
Analysis Type:  SteadyState Thermal 
Model Type:  3D 
Comparison:  ANSYS No. 101 
Reference:  Schneider, P. J. Conduction Heat Transfer. 2nd ed. MA: AddisonWesley Publishing Co., Inc., 1957. 
Description:  A short, solid cylinder is subjected to prescribed temperatures over all surfaces. Find the temperature distribution in the cylinder. 
Element Type:  solid 1(2)  
Units:  Hr Ft Btu F  
Dimensions:  outer radius: 0.5 height: 0.5  
Material Properties:  Mass Density: 1 Cost Per Unit Mass: 0 Young's Modulus: 0  Poisson's Ratio: 0 Thermal Expansion: 0 Conductivity: 1.0 
Prescribed Temperatures:  Location/Magnitude:  
therm_constr1  placed on surface EMN (top): 40 placed on surfaces AKL (bottom) and KLMN (outer surface): 0 
Theory  ANSYS  Thermal  % Difference  
Point A (m=node_1_temp)  0  0  0.0  0.0% 
Point B (m=node_11_temp)  6.8  7.4427  6.8577  0.84% 
Point C (m=node_21_temp)  15.6  16.361  15.4406  1% 
Point D (m=node_31_temp)  26.8  27.411  26.4951  1.13% 
Point E (m=node_41_temp)  40  40  40.0  0.0% 
Convergence %: 1.4% on Local Temp and Energy Index  Max P: 9  No. Equations: 622 
Analysis Type:  SteadyState Thermal 
Model Type:  3D 
Reference:  NAFEMS, BMTTA(S), No. 9 (i) 
Description:  A plate has a prescribed temperature distributed evenly around its boundary. No internal heat is generated. Find the temperature at point E. 
Element Type:  Shell (10)  
Units:  Hr M W C  
Dimensions:  length: 0.6 width: 0.4 thickness: 1  
Material Properties:  Mass Density: 7850 Cost Per Unit Mass: 0 Young's Modulus: 0  Poisson's Ratio: 0 Thermal Expansion: 0 Conductivity: 52 
Prescribed Temperatures:  Location/Magnitude:  
therm_constr1  placed on curve AB: 1000 placed on curves AD, CD, BC: 0 
Theory  Thermal  % Difference  
Temperature at Target Point E (m=target_pt_temp)  260.5  260.4192  0.03% 
Convergence %: 1.8 % on Local Temp and Energy Index  Max P: 9  No. Equations: 341 